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.
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
The radius of the circle is changing at a rate of 6cm / s. Find the rate of change of the circumference when the radius is 6cm.
a. 36.4 units/s
b. 15.8 units/s
c. 37.7 units/s
d. 24.8 units/s
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