. Suppose the rate at which ice in a pond is melting is given by ay = 4t+2, where V is the volume of the ice in cubic feet, and t is the time in minutes. a) Write a definite integral that represents the amount of ice that has melted in the first 4 minutes. b) Evaluate the definite integral in part a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Number 12
where V is the loss in value of the machine in dollars after t years.
a) How many kilometers away from A is the car at time t = 2, 4, 8?
1
v(km/min)
4
time (minutes)
b) Sketch a graph of the acceleration of the car
. Suppose the rate at which ice in a pond is melting is given by
dV
= 4t +2, where V is
dt
the volume of the ice in cubic feet, and t is the time in minutes.
a) Write a definite integral that represents the amount of ice that has melted in the first 4
minutes.
b) Evaluate the definite integral in part a).
. A company purchases a new machine for which the rate of depreciation is
dV
500(t-6), 0<t5 5
dt
te a definite integral that represents the total loss of value of the machine over
Transcribed Image Text:where V is the loss in value of the machine in dollars after t years. a) How many kilometers away from A is the car at time t = 2, 4, 8? 1 v(km/min) 4 time (minutes) b) Sketch a graph of the acceleration of the car . Suppose the rate at which ice in a pond is melting is given by dV = 4t +2, where V is dt the volume of the ice in cubic feet, and t is the time in minutes. a) Write a definite integral that represents the amount of ice that has melted in the first 4 minutes. b) Evaluate the definite integral in part a). . A company purchases a new machine for which the rate of depreciation is dV 500(t-6), 0<t5 5 dt te a definite integral that represents the total loss of value of the machine over
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