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Application of derivatives-Gr 12

Last updated almost 8 years ago

3 questions

Note from the author:

Calculus

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Question 1

1.

Find the maximum and the minimum values of (if any) of the function f(x)= 9x2 +12x +2

min=2, max=0

B min value=-2, no max value

C min-5, max=6

Dmin=0, max=1

Question 2

2.

Find the absolute minimum values of f(x)= x3 -3x in closed interval (0,2)

A 2

B -2

C1

D-3

Question 3

3.

1. A stone is dropped into a quiet lake and waves move in a circle at a speed of 3.5cm/s. At the instant when the radius of the circular wave is 8cm, how fast is the enclosed area increasing?

a. 52.5 pi cm2/sec

B4.8pi cm/sec

C 6picm/sec

D7 pi cm/sec