The length of a rectangle is decreasing at the rate of 2 cm/sec while the width

Question:

The length ∫ of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at the rate of 2 cm/sec. When ∫ = 12 cm and w = 5 cm, find the rates of change of 

(a) The area, 

(b) The perimeter, and 

(c) The lengths of the diagonals of the rectangle. Which of these quantities are decreasing, and which are increasing?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

Question Posted: