APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 6.1, Problem 37P
To determine
To graph:
The function
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3. A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot
mechanism that has a damping constant of 0.25 lb-sec./ft. and is acted on by an external
force of 4 cos 2t lb.
a. Set-up the differential equation and initial value problem for the system.
b. Write the function in phase-amplitude form.
C.
Determine the transient solution to the system. Show your work.
d. Determine the steady state of this system. Show your work.
e.
Is the system underdamped, overdamped or critically damped? Explain what this
means for the system.
4. Suppose that you have a circuit with a resistance of 20, inductance of 14 H and a
capacitance of 11 F. An EMF with equation of E(t) = 6 cos 4t supplies a continuous charge
60
to the circuit. Suppose that the q(0)= 8 V and the q'(0)=7. Use this information to answer the
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b. Is the circuit underdamped, overdamped or critically damped?
1. Solve the initial value problem:
y" -11y' + 30y = x³e6x
y(0) 11, y'(0) = 36
=
Chapter 6 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10P
Ch. 6.1 - Prob. 11PCh. 6.1 - Prob. 12PCh. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Prob. 17PCh. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Prob. 20PCh. 6.1 - Prob. 21PCh. 6.1 - Prob. 22PCh. 6.1 - Prob. 23PCh. 6.1 - Prob. 24PCh. 6.1 - Prob. 25PCh. 6.1 - Prob. 26PCh. 6.1 - Prob. 27PCh. 6.1 - Prob. 28PCh. 6.1 - Prob. 29PCh. 6.1 - Prob. 30PCh. 6.1 - Prob. 31PCh. 6.1 - Prob. 32PCh. 6.1 - Prob. 33PCh. 6.1 - Prob. 34PCh. 6.1 - Prob. 35PCh. 6.1 - Prob. 36PCh. 6.1 - Prob. 37PCh. 6.1 - Prob. 38PCh. 6.1 - Prob. 39PCh. 6.1 - Prob. 40PCh. 6.1 - Prob. 41PCh. 6.1 - Prob. 42PCh. 6.1 - Prob. 43PCh. 6.1 - Prob. 44PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 5PCh. 6.2 - Prob. 6PCh. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.2 - Prob. 9PCh. 6.2 - Prob. 10PCh. 6.2 - Prob. 11PCh. 6.2 - Prob. 12PCh. 6.2 - Prob. 13PCh. 6.2 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - Prob. 21PCh. 6.2 - Prob. 22PCh. 6.2 - Prob. 23PCh. 6.2 - Prob. 24PCh. 6.2 - Prob. 25PCh. 6.2 - Prob. 26PCh. 6.2 - Prob. 27PCh. 6.2 - Prob. 28PCh. 6.2 - Prob. 29PCh. 6.2 - Prob. 30PCh. 6.2 - Prob. 31PCh. 6.2 - Prob. 32PCh. 6.2 - Prob. 33PCh. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - Prob. 36PCh. 6.2 - Prob. 37PCh. 6.2 - Prob. 38PCh. 6.2 - Prob. 39PCh. 6.2 - Prob. 40PCh. 6.2 - Prob. 41PCh. 6.2 - Prob. 42PCh. 6.2 - Prob. 43PCh. 6.2 - Prob. 44PCh. 6.2 - Prob. 45PCh. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Prob. 48PCh. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.2 - Prob. 51PCh. 6.2 - Prob. 52PCh. 6.2 - Prob. 53PCh. 6.2 - Prob. 54PCh. 6.2 - Prob. 55PCh. 6.2 - Prob. 56PCh. 6.2 - Prob. 57PCh. 6.2 - Prob. 58PCh. 6.2 - Prob. 59PCh. 6.2 - Prob. 60PCh. 6.2 - Prob. 61PCh. 6.2 - Prob. 62PCh. 6.2 - Prob. 63PCh. 6.2 - Prob. 64PCh. 6.2 - Prob. 65PCh. 6.2 - Prob. 66PCh. 6.2 - Prob. 67PCh. 6.2 - Prob. 68PCh. 6.2 - Prob. 69PCh. 6.2 - Prob. 70PCh. 6.2 - Prob. 71PCh. 6.2 - Prob. 72PCh. 6.2 - Prob. 73PCh. 6.2 - Prob. 74PCh. 6.2 - Prob. 75PCh. 6.2 - Prob. 76PCh. 6.2 - Prob. 77PCh. 6.2 - Prob. 78PCh. 6.2 - Prob. 79PCh. 6.2 - Prob. 80PCh. 6.2 - Prob. 81PCh. 6.2 - Prob. 82PCh. 6.2 - Prob. 83PCh. 6.2 - Prob. 84PCh. 6.2 - Prob. 85PCh. 6.2 - Prob. 86PCh. 6.2 - Prob. 87PCh. 6.2 - Prob. 88PCh. 6.2 - Prob. 89PCh. 6.2 - Prob. 90PCh. 6.2 - Prob. 91PCh. 6.2 - Prob. 92PCh. 6.2 - Prob. 93PCh. 6.2 - Prob. 94PCh. 6.2 - Prob. 95PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3PCh. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10PCh. 6.3 - Prob. 11PCh. 6.3 - Prob. 12PCh. 6.3 - Prob. 13PCh. 6.3 - Prob. 14PCh. 6.3 - Prob. 15PCh. 6.3 - Prob. 16PCh. 6.3 - Prob. 17PCh. 6.3 - Prob. 18PCh. 6.3 - Prob. 19PCh. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Prob. 22PCh. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.3 - Prob. 27PCh. 6.3 - Prob. 28PCh. 6.3 - Prob. 29PCh. 6.3 - Prob. 30PCh. 6.3 - Prob. 31PCh. 6.3 - Prob. 32PCh. 6.3 - Prob. 33PCh. 6.3 - Prob. 34PCh. 6.3 - Prob. 35PCh. 6.3 - Prob. 36PCh. 6.3 - Prob. 37PCh. 6.3 - Prob. 38PCh. 6.3 - Prob. 39PCh. 6.3 - Prob. 40PCh. 6.3 - Prob. 41PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.5 - Prob. 1PCh. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.5 - Prob. 7PCh. 6.5 - Prob. 8PCh. 6.5 - Prob. 9PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11PCh. 6.5 - Prob. 12PCh. 6.5 - Prob. 13PCh. 6.5 - Prob. 14PCh. 6.5 - Prob. 15PCh. 6.5 - Prob. 16PCh. 6.5 - Prob. 17PCh. 6.5 - Prob. 18PCh. 6.5 - Prob. 19PCh. 6.5 - Prob. 20PCh. 6.5 - Prob. 21PCh. 6.5 - Prob. 22PCh. 6.5 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Prob. 3PCh. 6.6 - Prob. 4PCh. 6.6 - Prob. 5PCh. 6.6 - Prob. 6PCh. 6.6 - Prob. 7PCh. 6.6 - Prob. 8PCh. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11PCh. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - Prob. 14PCh. 6.6 - Prob. 15PCh. 6.6 - Prob. 16PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Prob. 20PCh. 6.6 - Prob. 21PCh. 6.6 - Prob. 22PCh. 6.6 - Prob. 23PCh. 6.6 - Prob. 24PCh. 6.6 - Prob. 25PCh. 6.6 - Prob. 26PCh. 6.6 - Prob. 27PCh. 6.6 - Prob. 28PCh. 6.6 - Prob. 29PCh. 6.6 - Prob. 30PCh. 6.6 - Prob. 31PCh. 6.6 - Prob. 32PCh. 6.6 - Prob. 33PCh. 6.6 - Prob. 34PCh. 6.6 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6.6 - Prob. 39PCh. 6.6 - Prob. 40PCh. 6.6 - Prob. 41PCh. 6.6 - Prob. 42PCh. 6.6 - Prob. 43PCh. 6.6 - Prob. 44PCh. 6.6 - Prob. 45PCh. 6.6 - Prob. 46PCh. 6.6 - Prob. 47PCh. 6.6 - Prob. 48PCh. 6.6 - Prob. 49PCh. 6.6 - Prob. 50PCh. 6.6 - Prob. 51PCh. 6.6 - Prob. 52PCh. 6.6 - Prob. 53PCh. 6.6 - Prob. 54PCh. 6.6 - Prob. 55PCh. 6.6 - Prob. 56PCh. 6.6 - Prob. 57PCh. 6.6 - Prob. 58PCh. 6.6 - Prob. 59PCh. 6.6 - Prob. 60PCh. 6.6 - Prob. 61PCh. 6.6 - Prob. 62PCh. 6.6 - Prob. 63PCh. 6.6 - Prob. 64PCh. 6.6 - Prob. 65PCh. 6.6 - Prob. 66PCh. 6.6 - Prob. 67PCh. 6.6 - Prob. 68PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.7 - Prob. 10PCh. 6.7 - Prob. 11PCh. 6.7 - Prob. 12PCh. 6.7 - Prob. 13PCh. 6.7 - Prob. 14PCh. 6.7 - Prob. 15PCh. 6.7 - Prob. 16PCh. 6.7 - Prob. 17PCh. 6.7 - Prob. 18PCh. 6.7 - Prob. 19PCh. 6.7 - Prob. 20PCh. 6.7 - Prob. 21PCh. 6.7 - Prob. 22PCh. 6.7 - Prob. 23PCh. 6.7 - Prob. 24PCh. 6.7 - Prob. 25PCh. 6.7 - Prob. 26PCh. 6.7 - Prob. 27PCh. 6.7 - Prob. 28PCh. 6.7 - Prob. 29PCh. 6 - Prob. 1SYUCh. 6 - Prob. 2SYUCh. 6 - Prob. 3SYUCh. 6 - Prob. 4SYUCh. 6 - Prob. 5SYUCh. 6 - Prob. 6SYUCh. 6 - Prob. 7SYUCh. 6 - Prob. 8SYUCh. 6 - Prob. 9SYUCh. 6 - Prob. 10SYUCh. 6 - Prob. 11SYUCh. 6 - Prob. 12SYUCh. 6 - Prob. 13SYUCh. 6 - Prob. 14SYUCh. 6 - Prob. 15SYUCh. 6 - Prob. 16SYUCh. 6 - Prob. 17SYUCh. 6 - Prob. 18SYUCh. 6 - Prob. 19SYUCh. 6 - Prob. 20SYUCh. 6 - Prob. 21SYUCh. 6 - Prob. 22SYUCh. 6 - Prob. 23SYUCh. 6 - Prob. 24SYUCh. 6 - Prob. 25SYUCh. 6 - Prob. 26SYUCh. 6 - Prob. 27SYUCh. 6 - Prob. 28SYUCh. 6 - Prob. 29SYUCh. 6 - Prob. 30SYUCh. 6 - Prob. 31SYUCh. 6 - Prob. 32SYUCh. 6 - Prob. 33SYUCh. 6 - Prob. 34SYUCh. 6 - Prob. 35SYUCh. 6 - Prob. 36SYUCh. 6 - Prob. 37SYUCh. 6 - Prob. 38SYUCh. 6 - Prob. 39SYUCh. 6 - Prob. 40SYUCh. 6 - Prob. 41SYUCh. 6 - Prob. 42SYUCh. 6 - Prob. 43SYUCh. 6 - Prob. 44SYUCh. 6 - Prob. 45SYUCh. 6 - Prob. 46SYUCh. 6 - Prob. 47SYUCh. 6 - Prob. 48SYUCh. 6 - Prob. 49SYUCh. 6 - Prob. 50SYUCh. 6 - Prob. 51SYUCh. 6 - Prob. 52SYUCh. 6 - Prob. 53SYUCh. 6 - Prob. 54SYUCh. 6 - Prob. 55SYUCh. 6 - Prob. 56SYUCh. 6 - Prob. 57SYUCh. 6 - Prob. 58SYUCh. 6 - Prob. 59SYUCh. 6 - Prob. 60SYUCh. 6 - Prob. 61SYUCh. 6 - Prob. 62SYUCh. 6 - Prob. 63SYUCh. 6 - Prob. 64SYUCh. 6 - Prob. 65SYUCh. 6 - Prob. 66SYUCh. 6 - Prob. 67SYUCh. 6 - Prob. 68SYUCh. 6 - Prob. 69SYUCh. 6 - Prob. 70SYUCh. 6 - Prob. 1FOPCh. 6 - Prob. 2FOPCh. 6 - Prob. 3FOPCh. 6 - Prob. 4FOPCh. 6 - Prob. 5FOPCh. 6 - Prob. 6FOPCh. 6 - Prob. 7FOPCh. 6 - Prob. 8FOPCh. 6 - Prob. 9FOPCh. 6 - Prob. 10FOPCh. 6 - Prob. 11FOPCh. 6 - Prob. 12FOPCh. 6 - Prob. 13FOPCh. 6 - Prob. 14FOPCh. 6 - Prob. 15FOPCh. 6 - Prob. 16FOPCh. 6 - Prob. 17FOPCh. 6 - Prob. 18FOPCh. 6 - Prob. 19FOPCh. 6 - Prob. 20FOPCh. 6 - Prob. 21FOPCh. 6 - Prob. 22FOPCh. 6 - Prob. 23FOPCh. 6 - Prob. 24FOPCh. 6 - Prob. 25FOPCh. 6 - Prob. 26FOPCh. 6 - Prob. 27FOPCh. 6 - Prob. 28FOPCh. 6 - Prob. 29FOPCh. 6 - Prob. 30FOPCh. 6 - Prob. 31FOPCh. 6 - Prob. 32FOPCh. 6 - Prob. 33FOPCh. 6 - Prob. 34FOPCh. 6 - Prob. 35FOPCh. 6 - Prob. 36FOPCh. 6 - Prob. 37FOPCh. 6 - Prob. 38FOPCh. 6 - Prob. 39FOPCh. 6 - Prob. 40FOPCh. 6 - Prob. 41FOPCh. 6 - Prob. 42FOPCh. 6 - Prob. 43FOPCh. 6 - Prob. 44FOPCh. 6 - Prob. 45FOPCh. 6 - Prob. 46FOPCh. 6 - Prob. 47FOP
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