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...
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Transcribed Image Text:webwork / math-109-11-sp20 / s9 /5
S9: Problem 5
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(1 point) Find the exact value of each expression if defined; otherwise, input undefined.
y = -21 tan(9x + 3)
(a) sin- =
(b) cos- =
degrees.
2
degrees.
2
(c) cos-1 2 =
degrees.
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Period =
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Phase shift =
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Page generated at 11/11/2020 at 10:18pm EST
WeBWorK © 1996-2016| theme: math4 | ww_version: 2.12 | pg_version: 2.12| The WeBWorK Project
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(1 point) A mass is oscillating on the end of a spring. The distance, y, of the mass from its equilibrium point is given by the formula
S9: Problem 19
y = 7z cos(16zwt)
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(1 point) A mass is hung from a spring and set
where y is in centimeters, t is time in seconds, and z and w are positive constants.
motion so that it oscillates continually up and down. The velocity v of the weight at time t is given by the equation
v = -4 cos(3.5at)
(a) What is the furthest distance of the mass from its equilibrium point?
with v measured in feet per second andt measured in seconds. Determine the maximum velocity of the mass and the amount of time it takes for the mass to move from its
distance =
cm
lowest position to its highest position.
Maximum velocity =
(b) How many oscillations are completed in 1 second?
number of oscillations =
Time from low to high =
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The picture below illustrates this velocity over time. You can click on the picture for a larger version if desired.
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