(a)... how quickly is the radius changing? (That is, what is the instantaneous rate of change of the radius with respect to time?) (b) ... how much water is inside the balloon? ... how quickly is the amount of water changing? (Is it increasing or decreasing?) Please include appropriate units with your answers. 4. Radians are more appropriate than degrees when using calculus. In this problem, you'll see why. Suppose we define a function g(x) = cos(r°), which can be rewritten in radians as s(π radians q(x) = cos = COS TX
(a)... how quickly is the radius changing? (That is, what is the instantaneous rate of change of the radius with respect to time?) (b) ... how much water is inside the balloon? ... how quickly is the amount of water changing? (Is it increasing or decreasing?) Please include appropriate units with your answers. 4. Radians are more appropriate than degrees when using calculus. In this problem, you'll see why. Suppose we define a function g(x) = cos(r°), which can be rewritten in radians as s(π radians q(x) = cos = COS TX
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...
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Transcribed Image Text:tly sunny
Notice that (e), (f), and (g) are just (a), (c), and (d) in different notation.
3. You need not simplify your answers to the following question.
A spherical water balloon is being filled with water so that its radius after t seconds is inches.
After t seconds,
(A)
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how quickly is the radins changing? (That is what is the instantaneous rate of chance
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Transcribed Image Text:sunny
(a) ... how quickly is the radius changing? (That is, what is the instantaneous rate of change of the
radius with respect to time?)
(b)... how much water is inside the balloon?
(c) ... how quickly is the amount of water changing? (Is it increasing or decreasing?)
Please include appropriate units with your answers.
4. Radians are more appropriate than degrees when using calculus. In this problem, you'll see why.
Suppose we define a function g(x) = cos(x), which can be rewritten in radians as
(200 π radians
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q(x) =
= COS
= Cos
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AG @ 300
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