A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4ar2 ) with respect to the radius r when r = 15: when r = 9:

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 being inflated. Find the rate of increase of the surface area (S = 4r² ) with respect to the radius r
when r = 15:
when r = 9:
Transcribed Image Text:A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4r² ) with respect to the radius r when r = 15: when r = 9:
If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 96 ft/sec, its height after t seconds is
s(t) = 32 +96t – 16t².
a.) What is the maximum height the ball reaches?
Answer:
b.) What is the velocity of the ball when it hits the ground (height 0)?
Answer:
Transcribed Image Text:If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 96 ft/sec, its height after t seconds is s(t) = 32 +96t – 16t². a.) What is the maximum height the ball reaches? Answer: b.) What is the velocity of the ball when it hits the ground (height 0)? Answer:
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