Number 20 **Chapter 4: Differentiation Rules****20.** The length \( L \) of a rectangle is decreasing at the rate of 3 cm/sec while the width \( W \) is increasing at the rate of 2 cm/sec. When \( L = 12 \) and \( W = 2 \), find the rate of change of:- a) the area,- b) the perimeter,- c) the length of a diagonal.**21.** The function \( V \) whose graph is sketched below gives the volume of air \( V(t) \) that a man has blown into a balloon after \( t \) seconds. ( \( V = \frac{4}{3} \pi r^3 \) ) Approximately how rapidly is the radius changing after 6 seconds?**Graph Description:**The graph is a plot of volume \( V \) in cubic inches versus time \( t \) in seconds. The x-axis is labeled in increments of 18 seconds from 0 to 54 seconds, and the y-axis represents volume in cubic inches. The graph shows a curve that appears to increase initially and then levels off.Note: The specific data points and the exact shape of the curve cannot be determined from the description alone.

Name: Number 20 **Chapter 4: Differentiation Rules****20.** The length \( L
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Number 20 **Chapter 4: Differentiation Rules****20.** The length \( L \) of a rectangle is decreasing at the rate of 3 cm/sec while the width \( W \) is increasing at the rate of 2 cm/sec. When \( L = 12 \) and \( W = 2 \), find the rate of change of