A.f(x) is discontinuous at x = c B. f(x) is continuous at x = c C. f(x) has a re

Question

A.f(x) is discontinuous at x = c
B. f(x) is continuous at x = c
C. f(x) has a removable discontinuity at x = c
D. f(x) = f(c)

A.5/4
B.3/2
C.1
D.Undefined

5. (TCO1) At time = 0, a diver jumps from a diving board that is 21 feet above the water.
The position of the diver is given by s(t) = -2t2 + 21, s in feet, t in seconds.
Give the expression for the instantaneous velocity of the diver at any point on her path, then find the velocity at 1.2 seconds. (Points : 6)

6. (TCO 1) Find the average rate of change of y with respect to x from P to Q. Then find the instantaneous rate of change of y with respect to x at P. (x in seconds, y in meters)
y = 2x2 - 1, P(-2, -9), Q(-2.1, -9.82) (Points : 6)

Explanation / Answer

5) To get velocity we need to differentiate s(t) => v(t) = -4t

    Now plug t=1.2 in v(t) , v(1.2) = -4(1.2) => v(1.2) = - 4.8 feet per second.

Picture of rest problems are not visiable.

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