In: Novels

Submitted By daradar14

Words 1291

Pages 6

Words 1291

Pages 6

WKST- Related Rates Date:_____________________________________

1. Find the rate of change of the distance between the origin and a moving point on the graph of [pic] if [pic]cm/sec.

[pic] [pic] [pic]

2. Find the rate of change of the distance between the origin and a moving point on the graph of [pic] if [pic]cm/sec.

[pic] [pic] [pic]

3. The radius (r) of a circle is increasing at a rate of 4 centimeters per minute. Find the rates of change of the area when. [pic] [pic]

a. r = 8 centimeters b. r = 32 centimeters

[pic] [pic]

4. The included angle of two sides of constant equal length s of an isosceles triangle is [pic]. If [pic] is increasing at a rate of ½ radian per minute, find the rates of change of the area when:

[pic] [pic] [pic]

a [pic] b. [pic] [pic] [pic]

5. The radius r of a sphere is increasing at a rate of 3 inches per minute. Find the rates of change of the volume when:

[pic] [pic]

a. r = 9 inches b. r = 36 inches

[pic] [pic]

6. A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is:

[pic] [pic]

a. 30 cm b. 60 cm

[pic] [pic]

7. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume changing when each edge is:

[pic] [pic]

a. 2 cm b. 10 cm

[pic] [pic]

8. All edges of a cube are expanding at a rate of 6 centimeters per second. Determine how fast the surface area is changing when each edge is:

[pic] [pic]

a. 2 cm b. 10 cm

[pic] [pic]

9. The formula for the volume of a cone is [pic]. Find the rates of change of the volume if dr/dt is 2 inches per minute and…...