Question

Area of a Ripple A stone is dropped in a lake, creating a
circular ripple that travels outward at a speed of 60 cm/s.
(a) Find a function g that models the radius as a function of
time.
(b) Find a function f that models the area of the circle as a
function of the radius.
(c) Find f  g. What does this function represent?

77. Area of a Ripple A stone is dropped in a lake, creating a
circular ripple that travels outward at a speed of 60 cm/s.
(a) Find a function g that models the radius as a function of
time.
(b) Find a function f that models the area of the circle as a
function of the radius.
(e) Find fog. What does this function represent?
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Transcribed Image Text

77. Area of a Ripple A stone is dropped in a lake, creating a circular ripple that travels outward at a speed of 60 cm/s. (a) Find a function g that models the radius as a function of time. (b) Find a function f that models the area of the circle as a function of the radius. (e) Find fog. What does this function represent?