ssume that the radius r of a sphere is expanding at a rate of 15in./min. The volume of a sphere is V = = ¼ár³. etermine the rate at which the volume is changing with respect to time when r = 12in.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter7: Rational Expressions And Functions
Section7.5: Solve Applications With Rational Equations
Problem 7.92TI: A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow....
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please help with both of these. I beg of you. Thanks!

Text A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40
ft from the base of the pole?
Transcribed Image Text:Text A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?
Assume that the radius r of a sphere is expanding at a rate of 15in./min. The volume of a sphere is V = är³ .
Determine the rate at which the volume is changing with respect to time when r = 12in.
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 15in./min. The volume of a sphere is V = är³ . Determine the rate at which the volume is changing with respect to time when r = 12in.
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