A 22-centimeter pendulum moves according to the equation 0 = 0.21 cos(9t), where 0 is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement 0max and the rate of change of 0 when t = 6 seconds. (Round your answers to three decimal places.) %3D max 0'(6) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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A 22-centimeter pendulum moves according to the equation 0 = 0.21 cos(9t), where 0 is the angular displacement from the
and the rate of change of
vertical in radians and t is the time in seconds. Determine the maximum angular displacement 0,
max
0 when t = 6 seconds. (Round your answers to three decimal places.)
%3D
max
0'(6) :
%D
Transcribed Image Text:A 22-centimeter pendulum moves according to the equation 0 = 0.21 cos(9t), where 0 is the angular displacement from the and the rate of change of vertical in radians and t is the time in seconds. Determine the maximum angular displacement 0, max 0 when t = 6 seconds. (Round your answers to three decimal places.) %3D max 0'(6) : %D
The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). Find the derivative. (If an answer does not exist,
%3D
%3D
enter DNE.)
y
10
f
4
2
-2
2
4
6.
8.
10
(a) Find h'(8).
(b) Find s'(1).
8.
Transcribed Image Text:The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). Find the derivative. (If an answer does not exist, %3D %3D enter DNE.) y 10 f 4 2 -2 2 4 6. 8. 10 (a) Find h'(8). (b) Find s'(1). 8.
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