Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 13.3, Problem 1PQ
To determine
To solve: The value, Arrow Company will set aside to meet its obligation in
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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 13 Solutions
Practical Business Math Procedures
Ch. 13.1 - Using Table 13.1, (a) find the value of an...Ch. 13.1 - Prob. 2PQCh. 13.1 - Prob. 1EPQCh. 13.1 - Prob. 2EPQCh. 13.1 - Prob. 1AHCh. 13.1 - Prob. 2AHCh. 13.1 - Prob. 3AHCh. 13.1 - Prob. 4AHCh. 13.1 - Prob. 5AHCh. 13.1 - Prob. 6AH
Ch. 13.1 - Prob. 7AHCh. 13.1 - Prob. 8AHCh. 13.1 - Prob. 9AHCh. 13.1 - Prob. 10AHCh. 13.1 - Prob. 11AHCh. 13.2 - Prob. 1PQCh. 13.2 - Prob. 2PQCh. 13.2 - Prob. 3PQCh. 13.2 - Prob. 1EPQCh. 13.2 - Prob. 2EPQCh. 13.2 - Prob. 3EPQCh. 13.2 - Prob. 1AHCh. 13.2 - Prob. 2AHCh. 13.2 - Prob. 3AHCh. 13.2 - Prob. 4AHCh. 13.2 - Prob. 5AHCh. 13.2 - Prob. 6AHCh. 13.2 - Prob. 7AHCh. 13.2 - Prob. 8AHCh. 13.2 - Prob. 9AHCh. 13.2 - Prob. 10AHCh. 13.2 - Prob. 11AHCh. 13.2 - Prob. 12AHCh. 13.3 - Prob. 1PQCh. 13.3 - Prob. 1EPQCh. 13.3 - Prob. 1AHCh. 13.3 - Prob. 2AHCh. 13.3 - Prob. 3AHCh. 13.3 - Arlex Oil Corporation plans to build a new garage...Ch. 13.3 - The City Fisheries Corporation sold $300,000 worth...Ch. 13.3 - Prob. 6AHCh. 13.3 - Prob. 7AHCh. 13.3 - The Lowest-Price-in-Town Company needs $75,500 in...Ch. 13.3 - Prob. 9AHCh. 13 - Prob. 1ECPCh. 13 - Prob. 2ECPCh. 13 - Prob. 3ECPCh. 13 - Prob. 4ECPCh. 13 - Prob. 5ECPCh. 13 - Prob. 6ECPCh. 13 - Prob. 7ECPCh. 13 - Prob. 8ECPCh. 13 - Prob. 9ECPCh. 13 - Check the answer in Problem 13–9 by Table 13.1. LU...Ch. 13 - Prob. 11ECPCh. 13 - Ed Long promised to pay his son $400 semiannually...Ch. 13 - Prob. 13ECPCh. 13 - Prob. 14ECPCh. 13 - Prob. 15ECPCh. 13 - Prob. 16ECPCh. 13 - Prob. 17ECPCh. 13 - Prob. 18ECPCh. 13 - Prob. 19ECPCh. 13 - Prob. 20ECPCh. 13 - Prob. 21ECPCh. 13 - Prob. 22ECPCh. 13 - Prob. 23ECPCh. 13 - You are earning an average of $46,500 and will...Ch. 13 - Prob. 25ECPCh. 13 - Prob. 26ECPCh. 13 - A1 Vincent has decided to retire to Arizona in 10...Ch. 13 - Prob. 28ECPCh. 13 - Prob. 29ECPCh. 13 - Prob. 30ECPCh. 13 - Prob. 31ECPCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Twice a year for 15 years, Warren Ford invested...Ch. 13 - Scupper Molly invested $1,800 semiannually for 23...Ch. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 1CRCh. 13 - Prob. 2CRCh. 13 - Prob. 3CRCh. 13 - Prob. 4CRCh. 13 - Prob. 5CRCh. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CR
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