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MAT 132 Midterm: MAT 132 SBU Exam Midterm II132 s10sol

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turquoisegnu128
31 Jan 2019
School
Stony Brook University
Department
Mathematics
Course
MAT 132
Professor
All

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Solutions to midterm ii (mat 132, spring 2010) Solution let x = 0 correspond to the rest position. The force needed to overcome the force of the spring at position x is f (x) = kx. 0 kxdx = 2k = 50; thus k = 25. The work needed to stretch the spring from 11 feet to 15 feet. 2 needed to stretch the spring from 0 to 2 is given by r 2 is equal to r 5 (2) find the length of curve y = r x. 2 = (3) let r denote the region in the plane bounded by the curves x = 2, x = 9, y = sin(x) and y = 3x. (a) express the area of r as a de nite integral. 2 (3x sin(x))dx (b) let s1 denote the solid obtained by rotating the region r about the line y = 2.

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