Solve the problem.For a motorcycle traveling at speed  when the brakes are applied, the distance  required to stop the motorcycle may be approximated by the formula  Find the instantaneous rate of change of distance with respect to velocity when the speed is 

A. 4.5 mph
B. 11 mph
C. 46 mph
D. 5.5 mph


Answer: D

Mathematics

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Find the extreme values of the function and where they occur.f(x) = (x + 1)2/3

A. Absolute minimum value is 0 at x = -1. B. Absolute maximum value is 0 at x = 1. C. There are no definable extrema. D. Absolute minimum value is 0 at x = 1.

Mathematics

Find the derivative of the function.f(x) = (x2 - 2x + 2)(5x3 - x2 + 5)

A. f'(x) = 25x4 - 40x3 + 36x2 + 6x - 10 B. f'(x) = 5x4 - 40x3 + 36x2 + 6x - 10 C. f'(x) = 25x4 - 44x3 + 36x2 + 6x - 10 D. f'(x) = 5x4 - 44x3 + 36x2 + 6x - 10

Mathematics

Solve the problem.A ball is thrown downward from a window in a tall building. Its position at time t in seconds is  where s is in feet. How long (to the nearest tenth) will it take the ball to fall 158 feet?

A. 3.1 sec B. 5.3 sec C. 2.3 sec D. 2.1 sec

Mathematics

Factor out the greatest common factor.9m(2 - m) + 4n(2 - m)

A. (9m + 4n)(2 - m) B. (9m - 4n)(2 - m) C. 9(m + n)(2 - m) D. m(9 + 4n)(2 - m)

Mathematics