b. Determine the length of radius of the circular ripple after 3 seconds. A rock is thrown into a lake creating a circular ripple that gets larger over time. f(r) = ar" models the area (in cm²) enclosed by a circle with a radius of r cm. If the ripple's radius increases by 8 cm per second, then g(t) = 8t models the length of the circular ripple's radius (in cm) after t seconds. cm Preview c. What is the area enclosed by the circular ripple after 3 seconds? a. Use the following applet to explore this context. You can vary the time elapsed since the rock hit the lake's surface (values of t) using the given slider. cm2 Preview d. What is the area enclosed by the circular ripple after 5 seconds? t=0.50 cm? Preview e. What is the area enclosed by the circular ripple after 7 seconds? cm2 Preview f Which of the following represent the area enclosed by the circular ripple after t seconds? Select ALL that apply (there may be multiple equivalent ways to represent this value). fr 口x- 16t OR 6412 Or(81) 口ォ. 16t? 口ォ.8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
b. Determine the length of radius of the circular ripple after 3 seconds.
A rock is thrown into a lake creating a circular ripple that gets larger over time. f(r) = ar" models the area (in cm²) enclosed by a circle with a
radius of r cm. If the ripple's radius increases by 8 cm per second, then g(t) = 8t models the length of the circular ripple's radius (in cm) after t
seconds.
cm
Preview
c. What is the area enclosed by the circular ripple after 3 seconds?
a. Use the following applet to explore this context. You can vary the time elapsed since the rock hit the lake's surface (values of t) using the
given slider.
cm2
Preview
d. What is the area enclosed by the circular ripple after 5 seconds?
t=0.50
cm?
Preview
e. What is the area enclosed by the circular ripple after 7 seconds?
cm2
Preview
f Which of the following represent the area enclosed by the circular ripple after t seconds? Select ALL that apply (there may be multiple
equivalent ways to represent this value).
fr
口x- 16t
OR 6412
Or(81)
口ォ. 16t?
口ォ.8
Transcribed Image Text:b. Determine the length of radius of the circular ripple after 3 seconds. A rock is thrown into a lake creating a circular ripple that gets larger over time. f(r) = ar" models the area (in cm²) enclosed by a circle with a radius of r cm. If the ripple's radius increases by 8 cm per second, then g(t) = 8t models the length of the circular ripple's radius (in cm) after t seconds. cm Preview c. What is the area enclosed by the circular ripple after 3 seconds? a. Use the following applet to explore this context. You can vary the time elapsed since the rock hit the lake's surface (values of t) using the given slider. cm2 Preview d. What is the area enclosed by the circular ripple after 5 seconds? t=0.50 cm? Preview e. What is the area enclosed by the circular ripple after 7 seconds? cm2 Preview f Which of the following represent the area enclosed by the circular ripple after t seconds? Select ALL that apply (there may be multiple equivalent ways to represent this value). fr 口x- 16t OR 6412 Or(81) 口ォ. 16t? 口ォ.8
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