An object weighing W pounds is suspended from the ceiling by a steel spring. The weight is pulled downward (positive direction) from its equilibrium position and released (see figure). The resulting motion of the weight is described by the function y = e-t/8 cos(8t), where y is the distance in feet and it is the time in seconds (t> 0). Equilibrium (a) Use a graphing utility to graph the function. АААААА As t increases, y → ^^. W 20 15 10 5 -5 -10 -15- O-20 (b) Describe the behavior of the displacement function for increasing values of time t. KIN 設 4 2x
An object weighing W pounds is suspended from the ceiling by a steel spring. The weight is pulled downward (positive direction) from its equilibrium position and released (see figure). The resulting motion of the weight is described by the function y = e-t/8 cos(8t), where y is the distance in feet and it is the time in seconds (t> 0). Equilibrium (a) Use a graphing utility to graph the function. АААААА As t increases, y → ^^. W 20 15 10 5 -5 -10 -15- O-20 (b) Describe the behavior of the displacement function for increasing values of time t. KIN 設 4 2x
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:An object weighing W pounds is suspended from the ceiling by a steel spring. The weight is pulled downward (positive direction) from its equilibrium position and released (see figure). The resulting motion of the weight is
described by the function y = e-t/8 cos(8t), where y is the distance in feet and t is the time in seconds (t > 0).
2
(a) Use a graphing utility to graph the function.
y
1
12
2
y
7
5
3
Equilibrium
-3-
-5
AAAAA
на
As t increases, y →→
π
WET
t
1
∞011 FE
4
8
8
y
20
15
10
5
-5
-10
-15
O-20
(b) Describe the behavior of the displacement function for increasing values of time t.
K
4
KIN
2
KIN
Л
Зл
4
15~
3л
π
27
t
t
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