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).
Please show all work. And circle your answer. Thank you!!
Give your answer accurate to 3 decimal places.
The area of an equilateral triangle is decreasing at a rate of 3 cm²/min. Find the rate (in centimeters per minute) at which the length of a side is decreasing when the area of the triangle
is 100 cm².
0.228
cm/min
A trough has ends shaped like isosceles triangles, with width of w = 4 meters and height h = 6 meters, and the trough is L = 13 meters long. Water is
being pumped into the trough at a rate of 7 cubic meters per minute. At what rate does the height of the water change when the water is 1 meters deep?
W
1.615 m/min. help (numbers)
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