Question 1123093: A circle has an initial radius of 22 cm when all of a sudden the radius begins shrinking at a constant rate of 4 cm per second.
a. Write a formula that expresses the radius of the circle in cm, r, in terms of the number of seconds t since the circle started shrinking.
r=
b. Write a formula that expresses the area of the circle in cm2, A, in terms of the radius of the circle in cm, r.
A=
c. Write a formula that expresses the area of the circle in cm2, A, in terms of the number of seconds t since the circle started shrinking.
A=
d. Define a function f that determines the area of the circle in cm2 given the number of seconds t since the circle started shrinking.
f(t)=
e. Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second.
f(t)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! a. radius=22-4t, t<5.5 sec.
b. A=pi*r^2
c. A=pi*(22-4t)^2, t<5.5 sec
d. f(A)=pi*(22-4t)^2, t<5.5 sec
e. A=pi*(22-8t)^2, t < 2.75 sec
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