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The temperature on an anisotropic rectangular slab is given by the function<br /><br /> <div style="text-align: center;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»T«/mi»«mo»(«/mo»«mi»x«/mi»«mo»,«/mo»«mi»y«/mi»«mo»)«/mo»«mo»=«/mo»«mi»#f«/mi»«/math»</span> <div style="text-align: justify;"><br /> <div style="text-align: center;"> <div style="text-align: justify;">a) The temperature's rate change at the point (#p1,#p2) on the direction <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#v«/mi»«/math»</span> is<br /> </div> <div style="text-align: justify;"> <div style="text-align: center;">{1:SA:=#sol1}<br /><br /> <div style="text-align: justify;">b) Employing the concept of the differential, calculate the temperature at the point (#px,#py) (with all decimal values)<br /><br /> <div style="text-align: center;">{1:SA:=#sol2}<br /> </div><br /></div></div></div></div></div></div>
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Thursday, 10 December 2015, 10:53 AM
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