3) The formula for the volume of a sphere is S = (4/3) TT r³ , where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. ds ds dr a. Supposer = E, where t is time in minutes. Use the chain rule 12 to find the (t+1)² dt dr dt rate at which the snowball is melting. b. Use a. to find the rate at which the volume is changing at t = 1 min.
3) The formula for the volume of a sphere is S = (4/3) TT r³ , where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. ds ds dr a. Supposer = E, where t is time in minutes. Use the chain rule 12 to find the (t+1)² dt dr dt rate at which the snowball is melting. b. Use a. to find the rate at which the volume is changing at t = 1 min.
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. Find the exact profit from the sale of the thirtieth skateboard.
b. Find the marginal profit function and use it to estimate the profit from the sale of the thirtieth
skateboard.
3) The formula for the volume of a sphere is S = (4/3) TT r³ , where r (in feet) is the radius of the
sphere. Suppose a spherical snowball is melting in the sun.
ds
ds dr
1
where t is time in minutes. Use the chain rule
12'
a. Suppose r =
to find the
(t+1)²
dt
dr dt
rate at which the snowball is melting.
b. Use a. to find the rate at which the volume is changing at t = 1 min.
4) A helicopter starting on the ground is rising directly into the air at a rate of 25 ft/sec. You are
running on the ground starting directly under the helicopter at a rate of 10 ft/sec. Find the rate of
change of the distance between the helicopter and yourself after 5 sec.
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