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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
icon
Related questions
Question

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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell