The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is the area of the triangle changing when the legs are 6 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 2 m long? c. At what rate is the length of the hypotenuse changing? a. When the legs are 6 m long, the area of the triangle is changing at a rate of (Type an exact answer, using radicals as needed.) b. When the hypotenuse is 2 m long, the area of the triangle is changing at a rate of (Type an exact answer, using radicals as needed.) c. The length of the hypotenuse is changing at a rate of (Type an exact answer, using radicals as needed.)
The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is the area of the triangle changing when the legs are 6 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 2 m long? c. At what rate is the length of the hypotenuse changing? a. When the legs are 6 m long, the area of the triangle is changing at a rate of (Type an exact answer, using radicals as needed.) b. When the hypotenuse is 2 m long, the area of the triangle is changing at a rate of (Type an exact answer, using radicals as needed.) c. The length of the hypotenuse is changing at a rate of (Type an exact answer, using radicals as needed.)
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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Transcribed Image Text:The legs of an isosceles right triangle increase in length at a rate of 4 m/s.
a. At what rate is the area of the triangle changing when the legs are 6 m long?
b. At what rate is the area of the triangle changing when the hypotenuse is 2 m long?
c. At what rate is the length of the hypotenuse changing?
a. When the legs are 6 m long, the area of the triangle is changing at a rate of
(Type an exact answer, using radicals as needed.)
b. When the hypotenuse is 2 m long, the area of the triangle is changing at a rate of
(Type an exact answer, using radicals as needed.)
c. The length of the hypotenuse is changing at a rate of
(Type an exact answer, using radicals as needed.)
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