Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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The side of a cube is increasing at a rate
9m/s, then the rate at which the volume of
the cube increases when side is 4m is
m³/s.
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-972
972
432
A car going 70 ft/sec brakes to a stop in five seconds. Assume the deceleration is constant.
(a) Graph the velocity against time t for 0 ≤ t ≤ 5 seconds. Then represent, as an area, the total distance traveled from the time the brakes are applied until the car comes to a stop.
V
V
70 ft/sec
V
70 ft/sec
(b) Find the total distance traveled.
ft
5 sec
5 sec
70 ft/sec
V
70 ft/sec
5 sec
5 sec
The radius of a right circular cone is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates
of change of the volume and surface area when the radius is 15 inches and the height is 45 inches?
in³/min
rate of change of the volume
rate of change of the surface area
in²/min
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