MATH 220 Final: MATH 220 KSU Final Exam s01
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You may use a calculator, but do not use books or notes. The point value of each problem is given in the left-hand margin. (8 pts) 1. Find the derivative dz dx if z = sin(3x) x (8 pts) 2. 2x 1 dx . (8 pts) 3. Evaluate the limit x2 + x 2 x2 + 6x + 8 lim x 2 (8 pts) 4. Find the derivative dx dt if x3 = xt2 t . page 2 of 9 (8 pts) 5. Find the area of the region between the curves y = x3 and y = x4 . (6 pts) 6. 1 endpoint method. x x + 1 dx using three rectangles and the right-hand page 3 of 9 (10 pts) 8. Find the maximal height of a ball that is thrown straight upward at a speed of 64 feet/second from the roof of a building 80 feet tall. (8 pts) 9.