The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the square changing when the sides are 15 m long? b. At what rate is the area of the square changing when the sides are 29 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 ds dt dt The area of the square is changing at a rate of when the sides are 15 m long. b. The area of the square is changing at a rate of h the sides are 29 m long. /s m2 /s m/s
The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the square changing when the sides are 15 m long? b. At what rate is the area of the square changing when the sides are 29 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 ds dt dt The area of the square is changing at a rate of when the sides are 15 m long. b. The area of the square is changing at a rate of h the sides are 29 m long. /s m2 /s m/s
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 32A: Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or...
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Transcribed Image Text:The sides of a square increase in length at a rate of 4 m/sec.
a. At what rate is the area of the square changing when the sides are 15 m long?
b. At what rate is the area of the square changing when the sides are 29 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
ds
%3D
dt
dt
The area of the square is changing at a rate of
▼ when the sides are 15 m long.
b. The area of the square is changing at a rate of
h the sides are 29 m long.
m°/s
m2 /s
m/s
Transcribed Image Text:The sides of a square increase in length at a rate of 4 m/sec.
a. At what rate is the area of the square changing when the sides are 15 m long?
b. At what rate is the area of the square changing when the sides are 29 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
ds
= ()
dt
dt
The area of the square is changing at a rate of
when the sides are 15 m long.
b. The area of the square is changing at a rate of
when the sides are 29 m long.
m/s
m2 /s
m° /s
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