Heading wound. The circular area A , in square centimeters, of a heading wound is approximated by A ( r ) = 3.14 r 2 , where r is the wound’s radius, in centimeters. a. Find the rate of change of the area with respect to the radius. b. Find A ' ( 3 ) . c. Explain the meaning of your answer to part (b).
Heading wound. The circular area A , in square centimeters, of a heading wound is approximated by A ( r ) = 3.14 r 2 , where r is the wound’s radius, in centimeters. a. Find the rate of change of the area with respect to the radius. b. Find A ' ( 3 ) . c. Explain the meaning of your answer to part (b).
Solution Summary: The author calculates the rate of change of the area function by differentiating the fucntion with respect to the radius r.
Heading wound. The circular area A, in square centimeters, of a heading wound is approximated by
A
(
r
)
=
3.14
r
2
,
where r is the wound’s radius, in centimeters.
a. Find the rate of change of the area with respect to the radius.
b. Find
A
'
(
3
)
.
c. Explain the meaning of your answer to part (b).
The radlus r of a drce is increasing at a rate of 6 centimeters per minute. Find the rate of change of the area when
r= 35 centimeters.
Use the word pi if needed.
The radius of a sphere decreases at the rate of 5 m/s. when the radius is 6m, then the rate of change in the surface
m²/s.
area of a sphere decreases
120 п
180 T
60 п
240 T
30 п
O O
carrie wants to find out how the area of a circle will change as the raduis increases in the area as the raduis changes from 2.5 to 5.5 feet length, carrie makes a table. What is the average rate of change in the area as the raduis changes from 2.5 to 5.5
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