The length L of a rectangle is decr increasing at the rate of 2 cm/sec. a) the area; b) the perimeter; c) the length of a diagonal.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Number 20
Chapter 4 - Differentiation Rules
237
The length L 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 L=12 and W = 2, find the rate of change of
a) the area;
b) the perimeter;
c) the length of a diagonal.
21.
The function V whose graph is sketched below gives the volume of air V(t) that a man
has blown into a balloon after t seconds. Approximately how rapidly is the radius
changing after 6 seconds? (V=4 Tr')
%3D
3
V (cubic inches)
54T
18л
Transcribed Image Text:Chapter 4 - Differentiation Rules 237 The length L 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 L=12 and W = 2, find the rate of change of a) the area; b) the perimeter; c) the length of a diagonal. 21. The function V whose graph is sketched below gives the volume of air V(t) that a man has blown into a balloon after t seconds. Approximately how rapidly is the radius changing after 6 seconds? (V=4 Tr') %3D 3 V (cubic inches) 54T 18л
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