MATH 221 Midterm: MATH 221 KSU Exam2U13

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Math 221 analytic geometry and calculus 2. In order to receive full credit (or any credit at all), answers must be justified. Put a box around your final answer so the grade knows what your solution is. Solutions do not need to be completely simplified in order to receive full credit. The point value of each problem appears in parenthesis. (15) problem 1. Find the nth taylor polynomial of f x . 4e x centered at a=1. (20) problem 2. 30 about the x-axis on the interval [0,1]. (20) problem 4. Compute the center of mass of the region bounded by f x x on the interval [0,1] assume that. 1 . f x x and (15) problem 5. The base of the triangle is parallel to and touching the surface of the water. The base has length 6m and the sides have length 5m. Calculate the fluid force on the face of the triangle assuming water has mass density.