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) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
100%
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.
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning