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Calculus II

by: Reuben Hudson DDS

Calculus II MATH 132

Reuben Hudson DDS
GPA 3.55


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Class Notes
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This 13 page Class Notes was uploaded by Reuben Hudson DDS on Friday October 30, 2015. The Class Notes belongs to MATH 132 at University of Massachusetts taught by Staff in Fall. Since its upload, it has received 15 views. For similar materials see /class/232223/math-132-university-of-massachusetts in Mathematics (M) at University of Massachusetts.

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Date Created: 10/30/15
Math 132 Midterm 2 Spring 2003 Your name ID number Your section Note 0 No notes7 no books 0 It is not su icient to simply write down the answers You must explain how you arrive at your answers 0 You have sin26 cos20 w GRADE 1 a b 2 a b C d 3 4 a b C d Total 1 Consider the parametric curve given by xt271 ytt271 10 points a Determine all points Ly at which the parametric curve has vertical tangent 10 points b Determine the equation of the tangent line at the point my 37 6 of this parametric curve 5 2 10 points For each of the following integrals7 determine whether it is convergent or divergent Evaluate algebraically those that are convergent Show your work a 5 points 01 Ch zlnz 7r3 b 5 points tan3 z sec x dx 0 C 5 points 2 d 5 points xe wdx 0 9 3 10 points Determine the area of the region that lies inside 7 300s0 and outside r27cost9 11 4 For each of the following in nite series7 determine whether or not it is convergent or not For the ones that do converge7 compute its sum Explaination your reasoning 7712 4n 1 5 t a pom S ml 6712 7 5n 10 32w b 5 points 2 m n1 2 n 3 4n73 c 5 points 24 n1 d 5 points 7 6 n1


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