MTH132-Quiz3 - 4 2 3 2-=-y xy . Then find an equation for...

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Page 1 10/18/2011 Name (Print Clearly): Student Number: Feb 20, 2009 Instructor: Dr. W. Wu Instructions: Answer the following questions in the space provided. There is more than adequate space provided to answer each question. The total time allowed for this quiz is 15 minutes. 1 [3 pts each] . Find dx dy / for following functions (Do Not Simplify) (a) 3 4 x y = (b) x y 3 tan 3 4 = (c) x x y 2 3 cos cos + = (d) 1 2 2 = + xy y x (use implicit differentiation)
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Page 2 10/18/2011 2. [4 pts]. Show that ) 1 , 2 ( - lies on the curve
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Unformatted text preview: 4 2 3 2-=-y xy . Then find an equation for the tangent line to the curve at this point. 3. Suppose the parametric equations of a curve are t y t x sin 3 , cos 2 = = , 2 t . (a) [2 pts]. Find dx dy / by using parametric formula. (b) [2 pts]. Let p be the point when 6 / = t . Find the slope of the tangent line to this curve at p . (c) [bonus 2 pts]. Find a Cartesian equation for this curve, then find dx dy at p by using implicit differentiation....
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This note was uploaded on 10/17/2011 for the course MTH 133 taught by Professor Staff during the Fall '08 term at Michigan State University.

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MTH132-Quiz3 - 4 2 3 2-=-y xy . Then find an equation for...

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