MTH132-Quiz3

# MTH132-Quiz3 - 2 2 3 = y y x y Then find an equation for...

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Page 1 10/18/2011 Name (Print Clearly): Student Number: MTH132 Section 5 & 18, Quiz 3 Oct 3, 2008 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 2 x y = (b) x x y 2 2 sin sin + = (c) x x y 5 cos 5 4 3 sin 3 4 π π + = (d) 6 2 2 = + xy y x (use implicit differentiation)

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Page 2 10/18/2011 2. [4 pts]. Show that ) 2 , 1 ( - lies on the curve 10
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Unformatted text preview: 2 2 3 =-+ y y x y . 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 2 , cos 4 = = , π 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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