MATH 220 Midterm: MATH 220 KSU Test 3f04
15 Feb 2019
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Show all work for full credit. (8) 1. Find dy for the given function y = f (x) . Do not simplify: y = q(1 + sin x , y = (1 + (2 + 3x) 3. Set up newton"s iteration scheme to approximate the x coordinate of the intersection of the graphs of f (x) = x4 and g(x) = x + 3. The diameter d of a sphere is measured to be 18 cm with a maximum possible error of 0. 05 cm. Use di erentials to appoximate the possible propagated error in calculating the surface area of the sphere. (the area of a sphere of radius r is a(r) = 4 r2. ) page 2 of 4 (12) 4. Evaluate the inde nite integrals: z (cid:18) 1 x2 . 3 x + 2(cid:19) dx : z 3 sin(5x) dx , z (cid:16)sec2(t) sin(3t)(cid:17) dt = (8) 5. 2j + 1: write the following sum in summation (sigma) notation.
