Solution Manual For Applied Calculus, 7th Edition Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath Chapter 1-10 and PSA(A B C D E)

Solution Manual For Applied Calculus, 7th Edition Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath Chapter 1-10 and PSA(A B C D E)-1. (a) The story in (a) matches Graph (IV), in which the person forgot her books and had to return home. (b) The story in (b) matches Graph (II), the flat tire story. Note the long period of time during which the distance from home did not change (the horizontal part). (c) The story in (c) matches Graph (III), in which the person started calmly but sped up later. The first graph (I) does not match any of the given stories. In this picture, the person keeps going away from home, but his speed decreases as time passes. So a story for this might be: I startedwalking t7. Amount of grass G = f(r) increases as the amount of rainfall r increases, so f(r) is an increasing function. 8. We are given information about how atmospheric pressure P = f (ℎ) behaves when the altitude ℎ decreases: as altitude ℎ decreases the atmospheric pressure P increases. This means that as altitude ℎ increases the atmospheric pressure P decreases. Therefore, P = f(ℎ) is a decreasing function. 9. We are given information about how battery capacity C = f (T ) behaves when air temperature T decreases: as T decreases, battery capacity C also decreases. This means that increasing temperature T increases battery capacity C. Therefore, C = f(T ) is an increasing function. 10. Time T = f(m) increases as m increases, so f(m) is increasing. 11. The attendance A = f(P ) decreases as the price P increases, so f(P ) is a decreasing function. 12. The cost of manufacturing C = f (v) increases as the number of vehicles manufactured v increases, so f (v) is an increasing function. 13. We are given information about how commuting time, T = f (c) behaves as the number of cars on the road c decreases: as c decreases, commuting time T also decreases. This meansthat increasing the number of cars on the road c increases commuting time T . Therefore, T = f(c) is an increasing function. 14. The statement f (4) = 20 tells us that W = 20 when t = 4. In other words, in 2019, Argentina produced 20 million metric tons of wheat. 15. (a) If we consider the equation C = 4T − 160 simply as a mathematical relationship between two variables C and T , any T value is possible. However, if we think of it as a relationship between cricket chirps and temperature, then C cannot be less than 0. Since C = 0 leads to 0 = 4T − 160, and so T = 40 F, we see that T cannot be less than 40 F. In addition, we are told that the function is not defined for temperatures above 134 . Thus, for the function C = f(T) we have Domain = All T values between 40 F and 134 F = All T values with 40 ≤ T ≤ 134 = [40, 134].