Contemporary Mathematics For Business & Consumers, Brief Edition, Loose-leaf Version
8th Edition
ISBN: 9781305867192
Author: Robert Brechner, Geroge Bergeman
Publisher: South-Western College Pub
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Chapter 4, Problem 11CR
To determine
To fill: The blank space in the statement, “A bank ___ is a monthly summary of activities in a checking account.”
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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 4 Solutions
Contemporary Mathematics For Business & Consumers, Brief Edition, Loose-leaf Version
Ch. 4.I - Use the following blank to write a check for...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Fill out the deposit slip for Hi-Volt Electronics...Ch. 4.I - From the following information, complete the two...Ch. 4.I - You are the owner of the Busy Bee Launderette....Ch. 4.I - Prob. 2RECh. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Properly fill out the deposit slip for The Star...
Ch. 4.I - Properly fill out the deposit slip for Howard...Ch. 4.I - 8. From the following information, complete the...Ch. 4.I - From the following information, complete the...Ch. 4.I - 10. From the following information, complete the...Ch. 4.II - Using the form provided, reconcile the following...Ch. 4.II - 1. On April 3. Erin Gardner received her bank...Ch. 4.II - Bob Albrecht received his bank statement on July 5...Ch. 4.II - On December 2. John Leahy received his bank...Ch. 4 - 1. A(n) ___________ is a written order to a bank...Ch. 4 - On a check, the ___________ is the person or...Ch. 4 - When a(n) ___________ card is used, the amount of...Ch. 4 - 4. Write the word form of $52.45 as it would...Ch. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Attached by perforation to checks, check...Ch. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 1ATCh. 4 - 2. You have just received a check. Your account...Ch. 4 - As cashier for Cellinis Pizza, it is your...Ch. 4 - Simon Fitzrowdy checked his checking account...Ch. 4 - Prob. 5ATCh. 4 - 6. On October 1, Jessica Clay received her bank...Ch. 4 - Using the form on page 121, prepare a bank...
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