Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and satisfy the equation S = 4mT² -5 mm²/s, then find the following with the exact solution. Write Pi for the symbol TT. If dS dt a. b. dr dt dr dt when r= 4 mm when S= 64π mm² mm/s Remaining Time: 17:04:55 mm/s

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
Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and satisfy the equation
S = 4²
If
ds
dt
a.
b.
-
=-5 mm²/s, then find the following with the exact solution. Write Pi for the symbol 7.
dr
dt
dr
dt
when r =
4 mm
when S = 64π mm²
mm/s
Remaining Time: 17:04:55
Pmm/s
Transcribed Image Text:Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and satisfy the equation S = 4² If ds dt a. b. - =-5 mm²/s, then find the following with the exact solution. Write Pi for the symbol 7. dr dt dr dt when r = 4 mm when S = 64π mm² mm/s Remaining Time: 17:04:55 Pmm/s
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