Quiz_1

Quiz_1 - 2. i ( 5 sin x-3 sec 2 x ) dx 3. i-5-10 1 x dx 4....

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Math 20B (Shenk). Quiz 1. July 7, 2008. Name Work alone and use no books, notes, or calculators. Put your work on 8.”‘ × 11” paper and staple it to the quiz when you turn it in.‘ 1. The temperature in a room T = T ( t ) is 60 F at time t = 1 (hours). The graph of its rate of change with respect to t is shown in Figure 1. The area of region A in the drawing is 10.9 and the area of region B is 15.4. What is the temperature in the room at t = 4? t 3 4 r (degrees per hour) - 10 - 5 5 10 15 r = T p ( t ) A B 1 (hours) FIGURE 1 Perform the integrations in Problems 2 through 5.
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Unformatted text preview: 2. i ( 5 sin x-3 sec 2 x ) dx 3. i-5-10 1 x dx 4. i sin x cos x dx 5. i 1 x 2 + 4 dx 6. Find the area of the region bounded by y = 4 x 2 , x = 1, and y = 1. 7. The base of a solid is the region between y = e x and the x-axis for 0 ≤ x ≤ 1 and its cross sections perpendicular to the x-axis are squares with one side on the xy-plane. Find its volume. 8. What is the average value of y = sin x for 0 ≤ x ≤ 1 2 π ? 1...
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