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ft A spherical balloon is inflating with helium at a rate of 128x How fast is the balloon's radius increasing at the instant the radius is 4 ft? min Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, usingn as needed.) Differentiate both sides of the equation with respect to t. dV dr dt dt (Type an exact answer, using n as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of at the instant the radius is 4 ft. (Simplify your answer.)

ft A spherical balloon is inflating with helium at a rate of 128x How fast is the balloon's radius increasing at the instant the radius is 4 ft? min Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, usingn as needed.) Differentiate both sides of the equation with respect to t. dV dr dt dt (Type an exact answer, using n as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of at the instant the radius is 4 ft. (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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ft 3 A spherical balloon is inflating with helium at a rate of 128t How fast is the balloon's radius increasing at the instant the radius is 4 ft? min Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dV dr %3D dt dt (Type an exact answer, using a as needed. Type an expression using r as the variable.) Vat the instant the radius is 4 ft. The balloon's radius is increasing at a rate of (Simplify your answer.)
Transcribed Image Text:ft 3 A spherical balloon is inflating with helium at a rate of 128t How fast is the balloon's radius increasing at the instant the radius is 4 ft? min Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dV dr %3D dt dt (Type an exact answer, using a as needed. Type an expression using r as the variable.) Vat the instant the radius is 4 ft. The balloon's radius is increasing at a rate of (Simplify your answer.)
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