MATH 116 2008 Midterm 2 Version B Solutions - 2008-B-Solutions Calculus II Midterm 2 June 2008 2 1(3 marks each total 9 marks Answer each question in

MATH 116 2008 Midterm 2 Version B Solutions -...

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Calculus II Midterm 2 June, 2008 2 1. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a)If kis a nonzero constant and tky=is a solution of the differential equation 226 3 . b)Given the parametric equations ttx2sincos2+=and tty2cossin2+=find dxdywhen 0=tc)Find the approximate value of the solution to the initial value problem yxy=, 2) , . 2 . 2008-B-Solutions
Calculus II Midterm 2 June, 2008 3 2. (5 marks)The vertical face of a dam across a river has the shape of a V(see illustration below) 5m across the top and 8m deep at the center. What is the force that the river exerts on the dam? 2008-B-Solutions - w Z '" <0 )6j @ l ~ N G2>
Calculus II Midterm 2 June, 2008 4

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