The sides of a square increase in length at a rate of 6 m/sec. a. At what rate is the area of the square changing when the sides are 11 m long? b. At what rate is the area of the square changing when the sides are 18 m long? a. Write an equation relating the area of a square, A, and the side length of the square, s. Differentiate both sides of the equation with respect to t. dA dt ds dt The area of the square is changing at a rate of when the sides are 11 m long. b. The area of the square is changing at a rate of when the sides are 18 m long.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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you don't need to give the equation for (a). I just need help with the other questions

The sides of a square increase in length at a rate of 6 m/sec.
a. At what rate is the area of the square changing when the sides are 11 m long?
b. At what rate is the area of the square changing when the sides are 18 m long?
a. Write an equation relating the area of a square, A, and the side length of the square, s.
Differentiate both sides of the equation with respect to t.
dA
dt
ds
dt
The area of the square is changing at a rate of
when the sides are 11 m long.
b. The area of the square is changing at a rate of
when the sides are 18 m long.
Transcribed Image Text:The sides of a square increase in length at a rate of 6 m/sec. a. At what rate is the area of the square changing when the sides are 11 m long? b. At what rate is the area of the square changing when the sides are 18 m long? a. Write an equation relating the area of a square, A, and the side length of the square, s. Differentiate both sides of the equation with respect to t. dA dt ds dt The area of the square is changing at a rate of when the sides are 11 m long. b. The area of the square is changing at a rate of when the sides are 18 m long.
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