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3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when the diameter of the balloon is 50 cm?

3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when the diameter of the balloon is 50 cm?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Differential calculus 

Answer only number 3

1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3 cm/sec. At what rate is the area increasing when w = 4 cm and I = 10 cm? 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while the other travels due East at 40 mph. At what rate is the distance between the cars changing after 1 hour? 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when the diameter of the balloon is 50 cm? 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2 ft./sec. After 12 seconds, how rapidly is the area enclosed by the ripple increasing? Q +
Transcribed Image Text:1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3 cm/sec. At what rate is the area increasing when w = 4 cm and I = 10 cm? 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while the other travels due East at 40 mph. At what rate is the distance between the cars changing after 1 hour? 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when the diameter of the balloon is 50 cm? 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2 ft./sec. After 12 seconds, how rapidly is the area enclosed by the ripple increasing? Q +
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