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<p:hash>9a5c9cfc55090c48ed623e9db29dd9e5</p:hash> </p:parentRef> <p:comment/> <p:originComment>Solving equations dependent upon an unknown parameter.</p:originComment> <p:contentHash>303185592ee69c53bc3b068b0ee42a37</p:contentHash> <ml:define warning="WarnRedefinedUDScalar"> <ml:id xml:space="preserve">R</ml:id> <ml:range> <ml:sequence> <ml:real>2.5</ml:real> <ml:real>2.6</ml:real> </ml:sequence> <ml:real>3</ml:real> </ml:range> </ml:define> </ml:provenance> </math> <rendering item-idref="11"> <element-image-map> <box left="1.2" top="0.6" width="62.4" height="11.4" expr-idref="1"/> </element-image-map> </rendering> </region> <region region-id="57" left="30" top="423" width="40.8" height="126" align-x="33" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:provenance expr-id="1"> <p:originRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" 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<ml:real>2.8000000000000003</ml:real> <ml:real>2.9000000000000004</ml:real> <ml:real>3.0000000000000004</ml:real> </ml:matrix> </ml:result> </ml:eval> <resultFormat> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> <table item-idref="12"/> </resultFormat> </math> <rendering item-idref="13"> <element-image-map> <box left="1.2" top="0.6" width="6" height="11.4" expr-idref="1"/> </element-image-map> </rendering> </region> <region region-id="58" left="78" top="423" width="51.6" height="126" align-x="89.4" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:provenance expr-id="1"> <p:originRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" version-id="096118F3-4183-4281-B3F8-1C4727B6ABD9" branch-id="00000000-0000-0000-0000-000000000000" revision-num="25" is-modified="true" region-id="0" href="C:\Program Files\Mathcad\Mathcad 14\qsheet\solving\s020ufrt.xmcd"> <p:hash>9a5c9cfc55090c48ed623e9db29dd9e5</p:hash> </p:originRef> <p:parentRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" version-id="096118F3-4183-4281-B3F8-1C4727B6ABD9" branch-id="00000000-0000-0000-0000-000000000000" revision-num="25" is-modified="true" region-id="0" href="C:\Program Files\Mathcad\Mathcad 14\qsheet\solving\s020ufrt.xmcd"> <p:hash>9a5c9cfc55090c48ed623e9db29dd9e5</p:hash> </p:parentRef> <p:comment/> <p:originComment>Solving equations dependent upon an unknown parameter.</p:originComment> <p:contentHash>324987d774d1d549a334997d06af3c69</p:contentHash> <ml:apply> <ml:indexer/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:apply> </ml:provenance> <ml:result> <ml:matrix rows="6" cols="1"> <ml:real>2.4577379737113252</ml:real> <ml:real>2.5427248620541514</ml:real> <ml:real>2.6263455967290592</ml:real> <ml:real>2.7088007490635064</ml:real> <ml:real>2.7902513789968162</ml:real> <ml:real>2.8708286933869713</ml:real> </ml:matrix> </ml:result> </ml:eval> <resultFormat> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> <table item-idref="14"/> </resultFormat> </math> <rendering item-idref="15"> <element-image-map> <box left="1.2" top="0.6" width="23.4" height="13.2" expr-idref="1"/> </element-image-map> </rendering> </region> <region region-id="59" left="138" top="423" width="55.2" height="126" align-x="149.4" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:provenance expr-id="1"> <p:originRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" version-id="096118F3-4183-4281-B3F8-1C4727B6ABD9" branch-id="00000000-0000-0000-0000-000000000000" revision-num="25" is-modified="true" region-id="0" href="C:\Program Files\Mathcad\Mathcad 14\qsheet\solving\s020ufrt.xmcd"> <p:hash>9a5c9cfc55090c48ed623e9db29dd9e5</p:hash> </p:originRef> <p:parentRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" version-id="096118F3-4183-4281-B3F8-1C4727B6ABD9" branch-id="00000000-0000-0000-0000-000000000000" revision-num="25" is-modified="true" region-id="0" href="C:\Program Files\Mathcad\Mathcad 14\qsheet\solving\s020ufrt.xmcd"> <p:hash>9a5c9cfc55090c48ed623e9db29dd9e5</p:hash> </p:parentRef> <p:comment/> <p:originComment>Solving equations dependent upon an unknown parameter.</p:originComment> <p:contentHash>35948f2125c4cfa7cba6e45c8e115fcb</p:contentHash> <ml:apply> <ml:indexer/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:provenance> <ml:result> <ml:matrix rows="6" cols="1"> <ml:real>-0.45773797371132519</ml:real> <ml:real>-0.54272486205415138</ml:real> <ml:real>-0.62634559672905954</ml:real> <ml:real>-0.70880074906350665</ml:real> <ml:real>-0.79025137899681608</ml:real> <ml:real>-0.87082869338697111</ml:real> </ml:matrix> </ml:result> </ml:eval> <resultFormat> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> <table item-idref="16"/> </resultFormat> </math> <rendering item-idref="17"> <element-image-map> <box left="1.2" top="0.6" width="23.4" height="13.2" expr-idref="1"/> </element-image-map> </rendering> </region> <region region-id="60" left="204" top="453" width="134.4" height="32.4" align-x="204" align-y="462" 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"> <inlineAttr font-weight="normal"> <c val="#008080">Here's how to display six solutions, each of which is a two-element vector.</c> </inlineAttr> </p> </text> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAAC0AAAAVCAYAAADSM2daAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAELSURBVEhL7ZXNEYMgEEZpxCq8UYFF eOZoDZZANTRDMRtXflzUQFCzjjMe3oSNaB7LFxQAIzyNV5qLV5oLLz2AlgKE2EF2YFc38dGD Ii7KuO+TTlvdpJKmvVEchVswvp7dfJ2XnjAKV7nczIYdVo3CRTSgbVE6xOYX6Zq5B7AdSNXP 46y02xIBUg9xzi2gMPHaSpPgn8myi1UG37USqVMh027yDVn+At31TDx8Rn/syP9xPgXpCczS tLpwPtZwVTwo+Ex02cl0GomwLUfEL4X8Gb309o24SNJr7pxMHha5+MgLL7YASUDS6acQpcU4 DemFypqTWRoFqERtzU2UPvPJjaA/jOPaOoz5GOEDWhncx2ik3IoAAAAASUVORK5CYII=</item> <item 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