Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)
11th Edition
ISBN: 9780137554843
Author: Allyn Washington, Richard Evans
Publisher: PEARSON+
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Chapter 11, Problem 8PT
To determine
To simplify: The expression
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5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force
of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass
is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I
purposefully removed the units- don't worry about them. Assume no conversions are
needed.)
a) Find the equation for the displacement of the spring mass at time t.
b) Write the equation for the displacement of the spring mass in phase-mode form.
c) Characterize the damping of the spring mass system as overdamped, underdamped or
critically damped. Explain how you know.
D.E. for Spring Mass Systems
k
m* g = kLo
y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo
m
2
A₁ = √c₁² + C₂²
Q = tan-1
4. Given the following information determine the appropriate trial solution to find yp. Do not
solve the differential equation. Do not find the constants.
a) (D-4)2(D+ 2)y = 4e-2x
b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3x
9.7 Given the equations
0.5x₁-x2=-9.5
1.02x₁ - 2x2 = -18.8
(a) Solve graphically.
(b) Compute the determinant.
(c) On the basis of (a) and (b), what would you expect regarding
the system's condition?
(d) Solve by the elimination of unknowns.
(e) Solve again, but with a modified slightly to 0.52. Interpret
your results.
Chapter 11 Solutions
Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)
Ch. 11.1 - Simplify: a(x−1y3)2
Ch. 11.1 - Simplify:
Ch. 11.1 - Prob. 3PECh. 11.1 - Simplify: (3a)−1 − 3a−2
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...
Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 8ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 10ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 12ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 14ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 20ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 22ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 28ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 34ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 36ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 38ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - Prob. 47ECh. 11.2 - In Exercises 31-54, simplify the given...Ch. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.3 - Simplify:
Ch. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 10ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 18ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 23ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 27ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 59ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.4 - Prob. 1PECh. 11.4 - Prob. 2PECh. 11.4 - Prob. 3PECh. 11.4 - In Exercises 1 and 2, simplify the resulting...Ch. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - In Exercises 43–48, express each radical in...Ch. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - In Exercises 49–56, solve the given problems.
54....Ch. 11.4 - In Exercises 49–56, solve the given problems.
55....Ch. 11.4 - Prob. 56ECh. 11.5 - Prob. 1PECh. 11.5 - Prob. 2PECh. 11.5 - Prob. 3PECh. 11.5 - Prob. 4PECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11 - Prob. 1RECh. 11 - Determine each of the following as being either...Ch. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - In Exercises 7–34, express each expression in...Ch. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 11 - Prob. 79RECh. 11 - Prob. 80RECh. 11 - Prob. 81RECh. 11 - Prob. 82RECh. 11 - Prob. 83RECh. 11 - Prob. 84RECh. 11 - Prob. 85RECh. 11 - Prob. 86RECh. 11 - Prob. 87RECh. 11 - Prob. 88RECh. 11 - Prob. 89RECh. 11 - Prob. 90RECh. 11 - Prob. 91RECh. 11 - Prob. 92RECh. 11 - Prob. 93RECh. 11 - Prob. 94RECh. 11 - Prob. 95RECh. 11 - Prob. 96RECh. 11 - Prob. 97RECh. 11 - Prob. 98RECh. 11 - Prob. 99RECh. 11 - Prob. 100RECh. 11 - Prob. 101RECh. 11 - Prob. 102RECh. 11 - Prob. 103RECh. 11 - Prob. 104RECh. 11 - Prob. 105RECh. 11 - Prob. 106RECh. 11 - Prob. 107RECh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PT
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