MATH 220 Midterm: MATH 220 KSU Test 3f97
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You may use a calculator, but no books or notes. Note that the take-home problems are worth 12 points. take home. While driving his car, fred coasts onto an entrance ramp for the highway. He then begins to accelerate, and travels the length of the 300 foot ramp in 6 seconds. Assume that fred"s acceleration after t seconds satis es a = 4t feet/sec2 . At what speed did fred drive onto the entrance ramp? page 2 (25) 2. X3 + 2 x3 dx (b) z sec(6z) tan(6z) dz (c) z (cid:18) 8. 3 t3 + 1 dt (e) z x cos2(x2) sin(x2) dx (0, 0) ( 4, 2) page 3 ( 1, Set up integrals (but do not evaluate) representing the area between the line y = 2 x and the parabola x = y2 (graphed above), (a) using horizontal rectangles; (b) using vertical rectangles. (14) 4. Approximate the area under the curve y =