Math 151 Exam 3 Review Answers

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4. a) The annual rate compounded continuously should be 7.192%

b)

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8. a) 1 b) 1 c) 0 d) 1 e) -1 f) 1 g) 0

9. There must be a c between 2 and 3 at which either f'(c)=0 or f' does not exist at c.

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11. a) absolute min is -265 at x = -5, absolute max is 455 at x = 7

b) absolute min is -20 at x=2, absolute max is 32 at x=4

c) absolute min is -45 at x = -3, absolute max is 7 at x = -1

12. ( 1/2 , - 6.5)

14. max velocity at t = hours and max velocity is approximately 108.5 mph.

15. max volume at t = 10/3 minutes. V" is negative at this time shows this is a max.

16. x=1, 2nd derivative test does not apply. There cannot be a max or min since f'(1) exists and is not 0

x=2 , local min x=3, no conclusion x=4, local max