A spherical balloon is inflating with helium at a rate of 64 increasing at the instant the radius is 2 ft? ft min How fast is the balloon's radius Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using л as needed.) Differentiate both sides of the equation with respect to t. dV dt dr dt (Type an exact answer, using it as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of (Simplify your answer.) at the instant the radius is 2 ft.

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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A spherical balloon is inflating with helium at a rate of 64
increasing at the instant the radius is 2 ft?
ft
min
How fast is the balloon's radius
Write an equation relating the volume of a sphere, V, and the radius of the sphere, r.
(Type an exact answer, using л as needed.)
Differentiate both sides of the equation with respect to t.
dV
dt
dr
dt
(Type an exact answer, using it as needed. Type an expression using r as the variable.)
The balloon's radius is increasing at a rate of
(Simplify your answer.)
at the instant the radius is 2 ft.
Transcribed Image Text:A spherical balloon is inflating with helium at a rate of 64 increasing at the instant the radius is 2 ft? ft min How fast is the balloon's radius Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using л as needed.) Differentiate both sides of the equation with respect to t. dV dt dr dt (Type an exact answer, using it as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of (Simplify your answer.) at the instant the radius is 2 ft.
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