Mathcad Professional 14.0 <description/> <author>Mario</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>Mario</revisedBy> </userData> <identityInfo> <revision>3</revision> <documentID>C684452A-7449-4C27-8F83-4381778BA9AA</documentID> <versionID>73479EA6-28BA-406E-A030-C0762D44C545</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="1056" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="855" left="12" top="18.75" width="62.25" height="15.75" align-x="27.75" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>300</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="856" left="84" top="18.75" width="62.25" height="15.75" align-x="99.75" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>400</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="857" left="12" top="46.5" width="75" height="39" align-x="36.75" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fcd</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>17</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">mm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="858" left="114" top="46.5" width="81" height="39" align-x="138.75" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fyd</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>435</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">mm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="859" left="12" top="90.75" width="62.25" height="15.75" align-x="27.75" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">d</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>405</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="860" left="114" top="90.75" width="57.75" height="15.75" align-x="131.25" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">d'</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>45</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="861" left="12" top="115.5" width="76.5" height="21" align-x="36.75" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">As'</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>226</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">mm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="862" left="114" top="115.5" width="80.25" height="21" align-x="136.5" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">As</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1500</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">mm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="863" left="12" top="148.5" width="90" height="39" align-x="27.75" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">E</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>200000</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">mm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="864" left="114" top="156.75" width="58.5" height="15.75" align-x="129" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ε</ml:id> <ml:real>0.0035</ml:real> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="980" left="12" top="232.5" width="290.25" height="33.75" align-x="39.75" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">t</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0.8</ml:real> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <ml:id xml:space="preserve">fcd</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">As'</ml:id> <ml:id xml:space="preserve">fcd</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">As'</ml:id> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ε</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">d'</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">As</ml:id> <ml:id xml:space="preserve">fyd</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="1055" left="372" top="242.25" width="227.25" height="12" align-x="377.25" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"by hand"<sp count="5"/>x1=135mm<sp count="5"/>x2 = -12,92mm</p> </text> </region> <region region-id="1056" left="372" top="266.25" width="279.75" height="12" align-x="377.25" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">x1 is valid because the solution should be between 0mm-400mm</p> </text> </region> <region region-id="985" left="12" top="282.75" width="108.75" height="15.75" align-x="25.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="Divide by zero." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">z</ml:id> <ml:apply> <ml:id xml:space="preserve">root</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="986" left="12" top="306.75" width="29.25" height="15.75" align-x="25.5" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This placeholder is empty." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">z</ml:id> <ml:placeholder/> </ml:define> </math> <rendering item-idref="14"/> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yQwW7CMAyG7aZbS9etu3AhSOUZeIIdENph2iT2ACiUAkVUTF2ROPLm3W8n u+w0R3b+Ot/vRsmJiJGfyEy1QS228/W+c1+H9e7cta5PSGKMHGl74XqnLZog07b62Bzrqvet ld8omqGYMF+8hWr5yty1+V7q6FjZKfKNA+tjwCKe/r/7OzzpO1fV84XRIxvAkp+JLQ+imG0E U8kRWwNryYZtPEgnBkMDxB2Y2wuO7oURV6IMRCqMwCOZI/YMjNofwKg9B6P2R/0XxJMyEIUw AvvrFu+Xtu6ayp38g6R67VfklhosE14uC6/5J3IpPwAAAP//AwARvY6sxgEAAA==</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAAFMAAAAVCAYAAAA6s9JxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF8SURBVFhH7ZbbccQgDEVdFwVRDw2k DZqhGIIQD8FiMLG8zofODJkF4d3LGcA5vMCGyGREZDIiMhkRmYxUmc54dRxe29R/Fet1yHKk NsrkjLpVfwKUmUR+84fPAZE6/EVQSu1HrCZjKL7Jvao/xP/bmc55lz4iIEN5UwadN2ogT5n0 3Kr+HAwyMfzH7uECctFQMSeVG6Bjq/qDDGRmOdCeDzAFMvU7qjnCGXKUL9VhXWSdsdD3N+cG PmRSgVZDf2/H4TOTRn58Bn2BNBnuyPzJa4SW1hnn9/3w2W7MTb4Wx5yEfIksVeXEI1k0+6re r3PYT4J25gYuySwLeQU8UiVDt4AIHbtUXwlK/Z25gbnMONYFW8B1zCnwnfUxlEu/Ju7eydu8 qe8I2pkbmMhMl2wdeAfINXoJlbHBVTSr7wjamRuoMgPtpX/1eOc3W3/p/5F459UMZ/8f0qxl cYRxHcWWcYMyzvq0zefi6W1kCvcQmYyITEZEJiMikw3vfwG7sbzOQ5peywAAAABJRU5ErkJg gg==</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAFMAAAAVCAYAAAA6s9JxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF2SURBVFhH7ZXtkYQgDECpy4Kohwau DZqxmFyAoJEPgbno+SNvhpnFsEvyJnENKGKoTEFUpiAqUxCVKQiT6cEaA9bT9it4C2ZzsNM2 s7sNDOYbVivnUfwJSGYS+ebFc1Bepcwg2FiMxk3dBKP4Q5yduTvYPibTWwsudNhF5g5ua8g7 zozizyEgMyV/doIQKCDkEseVi4h5buC4Gf5sFH+QhswsB9e/tSmOJt1dybyMcIaN8lQ8iC3r bNS9chapZKYv4/74oRSexVu6pLfY5T3CeOdTojJ/co1h8TrLPX72C2cpuf6YvzQaFXivYyam ZPLcR/FmnZ26V84iA5ls/xJ3nR1zKQqI8GdT8ZEgftfkWURcpsSYc6rOpPcV/5nrmUF8RdDK WeRznVlSy0TCKB/P2PsycxdfEbRyFiGZ6cLUPTgOrZdvl/zPVr70ZWjKROJzyvEojtGO8zrx ueN11nu+7s8mR2dnKn9GZQqiMgVRmYKoTDEAfgHzz7ONDtunzwAAAABJRU5ErkJggg==</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAGQAAAA0CAYAAAB8bJ2jAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKZSURBVHhe7ZqBccMgDEUzlwdiHk/D MhmGIlmqQcYuuClW7/67oxcS2rP1QMKkrwRcASHOgBBnQIgzIMQZEDJMTOH1Si9tIcr7ivl8 WdNbPukBQm7zTuuyBf3gJPNel+b7PwEht8lCQkiBpSxpNcsAQqZDQigdaYoK+dUOhExHhdDL NS0kpTAAIdMphFAvC6B6skjugpDp1EKIGPYiDyHTOQrh97jIh7RCyGxaQjJaT2SljAIht8m7 q7OHvhggZCZawLW1Av+xGqKFadiwLNU7F/EZJH83Zq0N4NaOD3MeqISQDN22sZjecxhZotSe EVKcHx2u2ZwtnY7zQSFku/DbAX18hchKsIGOsXqCZvIE0onnjV3IbwPa/fv71vDT7ppCGsTg M10RLOSYY/WCNXjSTLTLeqPN3Qo5cLE7csDFCtlkfPe5Tuwzy9YYlTMqpCW1agN/sEuI43RF nAshAWc3x2PNsv9tyvsAPUKu0lVzQkxsfA38kzABvbq5LcWZGvAvhPhOV8T1CjkrvCZ9MTeF TE1ZztMVcVFDZP9eBiSPCXxDurcvhDlYIbauWTzvrpRNCM94mZGVBA28tOpmzWdFu5byF9te ey2twOcxztMVsa8Q4AIIeYIyI5l0AiGzoVqrEqTulhsNCJnMO8aqjtmdIYQ8DaUvCPEDrRCk LDcct+IQ8iAxHJ/FIOQhKFW1HqAh5AnsmVruqxwImQxvc7+PeLTtqQtCnAEhzoAQC58z0Wlx 8f8EnOBtf3BsJxBSImdLW16XI3wOuu3n13FgbFG/fwJCLPaLtmZfgjwythMIsXQFWfojYzuB EMtIkEfGdgIhlpEgj4ztBEIq6u/mw7oF9Kxftuux/XUEQpwBIc6AEGdAiDMgxBUpfQGRDXr/ JpSv8wAAAABJRU5ErkJggg==</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAAGwAAAA0CAYAAABvu91XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMDSURBVHhe7ZoBsqsgDEW7LhfEelyN m3ExfALkERAUWlvD/HtmeFOVtsAhAe17WTAVEDYZEDYZEDYZEDYZEHY7mzWvl31xMVs8zxTX l9Xu8UoPEPY1drsuQcrBmWNfl+r5KyDsazhhxljjpS12LcIIwtRBwijdcQo07lUCwtTBwujl aheSJgxBmDqEMDpygmg9W2JuhDB15MKIzaRNCISp4yjMn/ObEGNXCNNGTZiD17MYaaNA2Ndw u8PWTfFmIEwTvMHgUhNz2xrGC+PwDIih/k4jboVm72Fm54+Dqm0UqcqXxztSJxNGsnjb6cX1 PueKId4cjJ8RxWTtpnPppjXM/vwmluiJCg0IYaGzbzdUQYRtJuy+MmH7Xom28lGRO6fVUEES 9umAd78/bW1vHSIX5fTdPlLOMgO1s2ykmgxxjRdWpoO88MDGdCMGWq53XJ7pcIqQU2Ek63CN J5Aoiq2dRFjoiGz7ZlIqKdc4ljfa15r0rHR8IKVCrtUSlk/KVnQneVqdnafEbMflZjG/9nWL daD2/l/gvncV33mVElkcb65q+ElU6UgS/kzxbfB/ieqAiyiLa4Q/6ztdzNKHhJ1FaL0toU9n wvxE/XVHOrkQFuUs9EOcEOQX6Xsi7I6UKLmKMIK+8/RjxeTUxqUw1/qw2cguHDcg7wq7m0th 1M5Prj9MEOYjpj2r99Xd3xx6wNKO5VwaL+ythf8zDsLKvpUy4kRrXldGirAmYrMBHudSGM3Y p9Pcf4fMCsXgN4X51FJ5A/gylKJ5zGO6ljvajpQIfsm+bdnyU67JEKYdSo8QNg8UYUiJ03Dc oUOYYuRDbQbClNK6nYIwjbiNRvZw2h2zPAhTxt/9b1ZSaoSwyYCwyYCwUfxzPvotMP07QXh8 Vx4P1u0EwkbIfoqJP+B6KeWxe70N1BX7iysgbJQo7S8wqsdRwkjdTiBslC4J8XikbicQNsqI hJG6nUDYKCMSRup2AmFD5P/HYtYw4K1jWc7r9q9jEDYZEDYZEDYZEDYZEDYV1v4Dy8KQA2Ph MewAAAAASUVORK5CYII=</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAFMAAAAVCAYAAAA6s9JxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGaSURBVFhH7ZXRsYQgDEWpi4Koh2po xmLyQgAJAVyZzer74M4wIxr05pCggS01bZiK2jAVtWEqasNU1DXMw4M1BlzI8zcUHBjr4cjT osNbMOgtjqG/7L3EmAeSmMOMSVyZfUQBXPQgYZI3h09pQjHSI4f9VA7/ujKDc+AjlAbmAd4K T131IuAXTCvATMnVSlESAorfpQrjoMiTBc9LVd57qas6mMHV1njDUFKtrA5m0+JFvNXL5rLB E6D1ETyLo+dyvhiLamASSGa8gOVePmm0Gc248bLY3iVqHSZXTTox4D+lXMlnFfM5XoeF2Gyu wpy2z8OVid/07Hu3YH7wSRtcHsrY4TxzWIlFnTDT32/N5C90VdnkQyRAGt3jihtQkhgCmcxX YlG1MkXJkuTiG9Joc66uMnPr8tf0MUKY2wzA5XwlFsXOzHTuNNUpF7+gIai48ee92XmZFXPg 61cArcSimh9QBdqP8wWdyiEvfwo6mlVdOpYG3nKCp/dmbZuf822snPNxHZs6WsDc+kYbpqI2 TEVtmIraMNUE8AdpKbZnqtpkBAAAAABJRU5ErkJggg==</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAE0AAAAVCAYAAAAD1GMqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF4SURBVFhH7ZbbsYQgDECpi4Koh2po xmJyE54hIBeYVX84M8zIEpdwCKqCwzJH2gZH2gZH2gZH2gZjaZcFrRQYh9fOgFIG6PITaH5t 4YrdTMxRpeaTfZZ7aV5SSOR7aQ4M5dKRdlldhKVcH2a+0ui6t9Mv4IwBS3Ka+VHmG5YE89Iw QWtHyi6wmnb7x9WIFU7z+4qS0uRpeIlGmjOl1L9IqKZUUistbRJrPFEvVIO9WJwfl/3FWKSS 5oWxxJJAnsssPflVm/hTOpYpqltpmbK4sFb+ciAZ+FuuSt7Ha7cQGycv0vxEZcBTHc+Xwbkt m3csLeA3KiUrc+/243pXYpEsLbyFxPNI3vwio0q9zYcqIg1OiYj9lVikVJooQY+8eYFfHE/O TKXRGmYXXvVXYhH2TIvfQrza5M0f8q80ypWPr4hYiUWqF0ER17b8B7ekh/EzH8CNtLiQnGMl tF6HsXWs7PM2jg0nUUg7zHCkbXCkbXCkbXCkLQPwB4+uBtAziQ3rAAAAAElFTkSuQmCC</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAGYAAAAcCAYAAACTZsrFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJJSURBVGhD7ZjtkYQgDIaty4Koh2po xmK4JIRP0cjdnpsfeWaYEROU5IXg7hYNlZgwSjFhlGLCKMWE0UBwcdu21FygWybMtzl83FkM ugZxdn+YMN/mCCEefI0cfo/b7k0YdWBZM2H0gTvGSpk6QnSwW7C0mTCKCM6BNAkTRglYwvLH GXItDH1b7xHK3XNoTFX9PaAE5N8B0NoAE5K9Ql9F5PdiHJA3PFcKmEe+PBFcCqIbIPEVYY7o 9/rOnNiafMmeyeK9O/+6ENp2KQxO0kWH4vBh9Aj8gbTi/wmCH3Y1CgHzzpmX7ASLcreVXmYq DKpIO2W5nIXoRWdOzD+uTNrtN0ke7ak6vL3T75kIg4nLYqSVNCtn/RbUFFQS/lqX0Z5j9FzK hnjK4swLChoNHvuLvgJnYfDhzeDpahpK1gFBPXvdmXyWXbaHgRSkcjraKZkgDNxLb8pJhJj5 v6s0F16s7N/34RpK5mPf8vJrTsJgorpc8MO7e3nCq0l7geDuAz/ZKb5h4bUxc6wl1Gmfn7ni K9ALww9KKg+tPJ1pfUfbl8DyejeVqX0mDPSwrJHvo2T/wlegE6Yc+gO3h+NsRy3wsVIG8+jm Dknw7dBLeyNChhK4sgu4v+IrUIWhQRfJ5weWwKDfBo3JnQn6Grw4+tbEItjTh0zt02LJ2ZOS 2/ZXfAWSMDwgTXiogZ0NGh6c470nbyo0hyvf+Qv912HTeE6SPdPt3GLj3zfcHHzktHGP/bbd +8rnzOnwN3RgwijFhFGKCaMUE0YlMf4ApJmJYEzRJU8AAAAASUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAcCAYAAABmmEF1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJRSURBVGhD7ZeLkcQgCIZTVwqyHhu4 NmwmxXiC6KLiGu/2oTN8M85EMQb5kSSHV7ZBxdoIFWsjVKyNULFWxRl/HEdsxuGQirUil/Un CYTXQbDTXirWilzO+Yuugcue/jitirUFUBJVrD2Ak6VlcAucN+FUQVlUsRbHGRPkiqhYCwPl L30UAn2x8Dv/9KFULszl7Rn+Q6hMNNBnb/2/ksCvLLJVJmRkfysh/vCeyoAedNngTHSyuGEp Qi2nQPbE4sFuAo7JmEpMXGvK/kZqv2PrigXOGW9AsF7WLgJuTPQx7KEb3XgiG3HyOiP7dxDF ggDgicLsekUppHKVM/V1dMVC32NWNppheaz2xcdG9i8hiAWBTU7F4y+VwvKovl6Eu8hipeRg jStWlLgEK3W37BAj9hw01P3JuQNasWBxdnN8d1WOQ5axAF3WVht7TnofdttN54F+GUw8gpKX /Y9YP3DCkq+U1Di/7odrNzG3v4FMIxYEsogVLV6MYUkID5wI6rsYixXBBEn+4p6EBEz7HNn5 NSD2SYCZuQNKsWihqHzV8uoEn1vbPshdsVCA5KcUID52yz4SgPozcwcUYsHGpfeTWAoT0skb 8NkySAQ/H8vG0sgfU64zsM8IMDN3wEMsvKkjCC2YhQx9yyZC8L/1P4bCj8QC/+s5kGR5jL2v Es/sdYCf9WfmDohi0Q0xs6Xjn2wUmHps+KT0ku8kw5+IAcw+cL8ln8nEwdNCc6QtyPbyuSZ8 XPFn1X3ens+t4i7QfGAo66JibYSKtREq1kaoWNvg/S+eyYo64TsB1AAAAABJRU5ErkJg gg==</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAHgAAAA0CAYAAABB/vzFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKrSURBVHhe7ZoNkjMREIZzrjmQ8ziN y+QwPt3I+EuGLytD1/tU2YqwteKhdew8LBANBAsHgoUDwcKBYOFA8O0Yqx4P+4hFmfB+pGg/ tH2Glh4geBmeVh9eYuXY8dRH8/0rIHgZnGClrGLJh9XFNoXg7SHBFH5jSFbu1QkEb08UTC+1 PUhyYhSCtycRTDUnlM7jI8RqCN6eXDBh1Jl0QfD21IL5PU66lNUQvDstwY54HoedPAoEL4PL nt9dYhgFwTsTE6pYWiK/PIOL67CyDF6PfU8+nncfeOX2Vch2MA+6kkkHff6ley7534sTmU0i h6zYxy+GpdoXokPwjzG6uKYLmeRrBn29mvDXuO9uX4tLwUZfDdx/4HNF/z38fTDOKGeVxV1t +t7d7YtxIdiFn9tXZrFjaLdUiykJk3e3L0Yt2A00K4OC4+3L2zI6C7Q70jFA8BDL72CjitDX mmAOkR8E/LI9obnAf1h4DPwz8H9n8DxoPOWk+cn84oyc3b4Yl4I9xurO0f9ZiHY7Jf4nhXGT qPlX6yw2H/fd7WvRIbj+QNPhMFgujiQsUvtrnI3z7+72hQiC/SDrSY2lOHMy/AL43KcfXmSt MRQzmPZrTe7d7auQ7WAgDwiWAB0ZIZqUkQ6Cd4cy+CiVs/nzMR8CgjfnaUxI9jycG7wSQAiW R5bhQ7A4aAcjRIvFfd1Ndi8BwYIwqr6LgGAhUGhuXbhAsARcYpXd27t6lA3Bm5NemZ7lDNUQ LBwIFg4Ez4bvielhgPhfN1f4gCzrg307geCZhLthfy6GJz5YYll3r81A3ySfugKCZxMkvzZe sx6kjfTtBIJn0yUt1Ef6dgLBsxmRNtK3EwiezYi0kb6dQPBU8mfdlPaC3tXT8rlv/zkMwcKB YOFAsHAgWDgQLBpr/wFIAaKkXySg0wAAAABJRU5ErkJggg==</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAVCAYAAADo49gpAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHWSURBVFhH7ZUxsoQgDIY5l3fYazge Yot3AAtrL+AN7Ky3tXWsLO28AY9EooAIC87zOaP/DLMLCZF8Jsj4oyg94CL1gIvUAy5SD7hI XRJcXyScMYYjreWiQz5/t73mqbTt7RcBeKL4MOF0PXB1Kg6XinRwgkk54fn8nXaYk40Ar3OS Cp7gXgxcz4vEknhSCItNPn+Pve+NuAAy4YW2KNa0ALM24IZh4O/3e6H7er1427bSamo+mO0t RQlbwji4bY3k84+JZ0LCil0rjaSBG8cRHZqm4V3X4fh8PjzPc+nxx9LaimRpP5LPPyQeQNtU NhWGMuRGDVxVVY7q8qtOjYeYw5q9on8Cp99hpj9phQh7NxUHrQmtChBPqzSSLVFsrQBwqn9g PAKYWPt4FhaH2KyBK8sS2xTaE8DB76nCpALvJJd/aDxZVS5w+DJMcED7iA63qjy46oZVEPBV 1f1D4805OI8pwIFdI5VlGbYpfRjo4wDVd5rgjS6JOe43ks8/JB5UowOqatfATdOE95paJdC+ sG4XXZh7F2qc1MtaT1I+z0hu33/Wrh2gynUcJjRsa7v9WG/eWAs49qMz9M3vLqQBUFQw38zv rgVczO+dxVQI8D9kfl9x/gs4/FJ/BoMzrQAAAABJRU5ErkJggg==</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAAYMAAAAtCAYAAABMBQc4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAesSURBVHhe7Zw9lts6DIW9nKzBO0iR bfhkEWlen8J1NpAduEudNm3OVFNOlx3oESApkxRIghpR1tD3O0fJ2OIPCIG4ImX7NAEAAHh6 IAYADMltupxO00k4LjdX5Im5XWTfnJ7YORADAIaExOBi/gVqbheIAQBgNCAGzUAMAADjATFo BmIAABiPvcTgAKLzcp3OJ/cshBI627PCLogBAGA8dkjSc+J9IGyDffgbi4GBReI8XV/ohQKI AQBgPHqLwQFWBJ5wZUB/n6/TnP/5nNJOiAEAYDzakvXr6+v07du3+S77y5cv058/f9zZJfTR zLP6lrszoRiYEV8Tu16uZ12ShxgAAMZDLwZvb28sAL9+/Zr+/v3Lx+/fv6fv37+7EinUdrr9 8jJdz/7z+nSOyvi/XZENkb4nkM3j2tUBxAAAMB56Mfj582dxFbAg3JdP4Ltwt01zu+hXJi2w EARbQV4Y8nncClM1z0MMAADj0bYyoG0h2iYiYcivCCyc8LNt31cIpbya/QawP3KV+S4/WW1E 20QSVgyq21oQAwDAeOjF4MePH7xFRFtDJAb0f4RLtj5RlsXAICXsjRD7hhhsAsQAgCHRiwHd iTdR2Cbifs/X6VYTjLVw3+tWBtU8DzEAAIyHXgy+fv3KW0T+4bF/gEyrBBlqW7rzpy2ie5+8 FbR5crWJPRKamhjweYUvIAYAgPHQi8G/f//4OUG4Z09bR/R+Dkr08bZL8qzAJWhuL/zc/yZ4 QVgeUi7HR0t1tK4PFQGmD8Ke2L3FfICkRA+0tg6I6jK2TGhbUxvv7LcJafleg+voYuV5fZBP fHxkE23veUjt93kusC0NfthDDNbESIWt5oZeDBomru3kgYES2WonU8lJ7Mz0o2pbBYVzePOF cpAt/g4stbMI+2B9v634gGz6IpIypuADCiNzc7MYd7wtE9NbDAyPnudV6nM/gq5F50BZFSMF tpwbgRjYZZ7sixWBxYHSORhFhHHQwLNOsuWji1Msv4JEgfU0BnPK6n5bsfFxaQlGguyrlt/b B6UEW6KnD6iYJAYlVszZVezVTysr7OouBitjJAu1t93cCMQg33CoPi3o9upsMlavOmrwAJO7 Fem9Gdd/cHHI7q2Um2lOSI619Tzvra9k9hffbbTcKS5/OmDB7j5YJwZdfWCQxOB2LSWU/6ZP p0/mX6Dm9tlcu8/b5CGB9TGSYeO54cTACoFfNsSJmc6lhvsETged8/WTctzZzncN7Oi0z4qC OqdY4TJli6qtHHvI7PS0rjsvwJOfy6XlwzbMkQzKL0PDY3WwqCB7vG3WF5KQxuPRxcRjfEBt t8ZsPx94uG4Ul7U4JTt2nnsfnp4+2zZGlnMjPHw920/YTmlu3FcGOZURk6slDFD5q+fWmJZk JBkbHbXG1ogBwfWoD3msKfWxB3ixCQTAjlNX7263TYLz6+QOg9sMEoT3ZYv/myEbgg7EcdE4 ArtezB2t2qTdfbBCDHr7wCBO/qC9JT0T26h09FmPGKnNDcPtop8bVTGwQZhzkO08bDDGJmFJ AbvByUFwctZGwicAa29+vCG1sQeI/SsEKq1HY8slAC57v/BMddz3gMgelcFR/agI+z95z9lR FXIJ+IAJbz4sJn5yfmDqiW0xzic58uR9dsgYkWI7mh9BjCjmxjvFwCB1MmMT3q5ikB10zkZ7 oUIb+cKHE835ZnGRcu2m5d3ruLrgm0q9ZUK4I14nsd8N8fZKR9ppWLZk0MN90Lgy2MMHBmnc i2cGUb26GICUTj7bKkbSuHCv42LB6sAIw71ofW68a5uInWcCNP/Vc5vwFm0WeK8CR85wlBKI bKMmKGpjD5B8y+/lBYpJ65WuBZ+TRLDN/y2QXyWht9ewZGeDTbv7oE0MdvGBIR/DuQfQmhgG MX181i1GMrFtY8UIQRjHirlRFwN2kJS04knDA1taZdp8QEDSwOeJQ/aXnGrFI5poUX0JxdhD Fr51fZbqEIt6dixRPVPmwhfHnQv9nb2mG1C6tq7feQKY19egIPlLmhwiizH09kGDGHDbO/jA IIuBjSN5bPg0UTM9Pk3UM0Zc/eX1F+aIf68wN4INNJeg0gqGpVH3styQa5TrBgHLASxHaoBv SzkBlXDfzqbYBNdfNLHCsafnUnRjTwntoaOaCNydwXzMg/AX1R1Rn8m54KhehhbCMWfuNua+ yb70Pa0xD/EBXV9FLO7lg8J47JGzleptO6eGh+Jty4nSM0ayc8Pycr0IN/DluVF6mhJAjUir gxIIRgAeB+ZfM1uLwcMw1z66QdKhFAMDq5ZWEKwCDeFXAD4kEINmBhED2oVYMwy9GDCaAEMQ AvB4MA+b+eBiMG9FrxxDoxgAAD4GEINmhtkmWgfEAIAhgRg0AzEAAIwHxKAZiAEAYDyOJgbh x7fpgyhkn//bFXk0EAMAwHgcc2XADzndxx6rP/C4NxADAMB4HHWbKPnS5pGAGAAAxuPAzwya vrO0IxADAMB4HFUMjF1n5Q887g3EAAAwHkcUg/h3n6o/8Lg3EAMAwHgcTQzW/cDjrkAMAADj ceBnBkcFYgAAGA+IQTMQAwDAeEAMmoEYAADGg8TA7cknxxPnuxl+eC34BmIAAADgiZmm/wHa bgeNX45YFQAAAABJRU5ErkJggg==</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAJEAAAAVCAYAAABG+QztAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALdSURBVGhD7ZfRkYQgDIZtYPuwhuti m7CP7WCr8WkbuCcLuKethEsCCGJCQBzn5pZvxgclwQT+BB1Mp9NIF1GnmS6iTjNdRJ1muog6 zXQRmYdZhtEs7k6nxL52znN532+ws7C1cC0P97AIjDvnw+f12SJ6jLACFZtdY/+6m/dwM98v d38Vmxg1UcRYW1V4TF7/WEQv832rraqcD1+FWWjBK32aYOJHUd0gDnebheItEF2S10ER/Zjn 1wCinczsnvw98lW4jAO0/bRNyD68vQ4dLaO2KyfBdT/umUSpiIA4ryCieQJRoDCia7pIImvw vqV6ldvKgmDstasoadzP46+0G+B4urA5H84+fjeOeX9uE0u7UeGcEuxxa+coEUbYhygOqQCi vMDKMc+hq5CgyrvMPCXiS6+cGClxF/BmAWwiofpdYqtQlPFcVUnfNpKPZA9QRbp3LiNnU7GJ Dn1OgZNEtIqW5pMEHOYFj5TZTDB4VRMiuM3jFiS208YlQQD274XZHMFHtCdC1XLv8otddxRq cwpoa6KR2tJ9XkSY105E1FUuVRDAJMpvXAhcG88t3rkiAgoXu4rsnAKcT808af7p/QZJRJXH mKfpOEO4YKmq0gRs4PRMG88tAFexiOQj2RPwTjh6FlFoUUzFaHNK2A4Wv4sKwB/xGgdEhGOR iPbH2AzfSZfAButbeljE7YIo4+oCMNUp+gj2FEN4P/7B7T5Eac5aIShz5kDBr2tUKeA0/9wa RnmtIvp5fm27B15iBznzF98mCpPRtQ3YC8Vdu4rKjcdj+03kf9lln719sKWY3YKncZCwWRH4 vOP3lM3J+wbs8RvNs4Pzj/cBCuYRvZspoDgvsPhUcNEKvxWIWnsEffiN9rzvY+WcgRZf5Lj/ Nq8PFhFAlV4hjCp7W9l8J/Bg58mLTKbFFznqv8/rs0VE6N1iS4l9iQ1uYm1n87T4Ikf9+by6 iDrNdBF1GjHmF0aJRLkO1i0UAAAAAElFTkSuQmCC</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAACcAAAAVCAYAAADFEfeTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACVSURBVEhL7ZTbCcAgDEUzlwNlHqfJ Mg6TRmlrsFit4IPigfvRB+QkEYEXZsu1suVa2XKt/FHOsTXAAMh0vulBlCOUYr6gCvYsXUbJ UZxCEK2fCmHSVJraJuVfnSh3Q4zyYcrQSnJhCrPW+Sr3cZ0XA9b6XCfJORxKTs5ZI8+qW59s x52uEqmpc8stwdJyCVuulYXlmA8MZxn1aHxfmwAAAABJRU5ErkJggg==</item> </binaryContent> </worksheet>