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Ch7-1WS - 2 – 7t 12 0 ≤ t ≤ 4 In exercises 4& 5...

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Ms. Waldron BC Calculus Ch 7.1 Integral as Net Change Hw: Pg. 386: 5, 7, 9, 10, 19, 23, 29, 31-36 Activity: In exercises 1 and 2, the function v(t) is the velocity in m/sec of a particle moving along the x-axis and starting at the position s(0) = 8. Use analytical methods to do each of the following: a) Determine when the particle is moving to the right, to the left, and stopped. b) Find the particle’s displacement for the given time interval and its final position. c) Find the total distance traveled by the particle. 1. V(t) = 4 cos (2t), 0 t 2 ! 2. V(t) = t
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Unformatted text preview: 2 – 7t + 12, 0 ≤ t ≤ 4 In exercises 4 & 5, C(t) gives the rate of consumption of different commodities from 1970 to 1980, with t being years since the beginning of 1970. How much of each commodity was consumed from the beginning of 1972 to the end of 1973? 3. C(t) = 4.3 e 2t 4. t C(t) = 7.4 +2.3 sin 12 ! " # $ % & ’ In exercises 6 & 7 you are given the force, F newtons, it takes to stretch a spring 10 meters beyond its natural length. How much work is done in stretching the spring x meters from its natural length? 6. F = 10, x = 16 7. F = 47, x = 30...
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