MAC 2312 Midterm: MAC2312 C96 Test 1

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31 Jan 2019
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The graph of y = f (t) is given below. If yes, describe a (x). (c) sketch the graph of a(x). Pay particular attention to the curvature of the graph. y. Use the information a f (x) dx = 31. Z c b f (x) dx = 18. Z c a g(x) dx = 25: find the integrals using the method of substitution. (a) (10 pts. ) 0 tan3 x sec2 x dx: (15 pts. ) Sketch the graphs of y = x2 4x 1 and y = 19 3x. Let r denote the region bounded by the 2 graphs. Find the area of r: (20 pts. ) Sketch the graphs of y = 100 and y = 5x. Let r denote the region in the rst quadrant (x 0 and y 0) that is bounded by the.