DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter 13.5, Problem 8TFS
To determine
The measure of each angle of a triangle where second angle measures
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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
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. 13.1 - Prob. 1SRCh. 13.1 - Prob. 2SRCh. 13.1 - Prob. 1DECh. 13.1 - Prob. 2DECh. 13.1 - Prob. 3DECh. 13.1 - Prob. 4DECh. 13.1 - Prob. 5DECh. 13.1 - Prob. 6DECh. 13.1 - Prob. 7DECh. 13.1 - Prob. 8DE
Ch. 13.1 - Prob. 1CCE1Ch. 13.1 - Prob. 2CCE1Ch. 13.1 - Prob. 3CCE1Ch. 13.1 - Prob. 1RCCh. 13.1 - Prob. 2RCCh. 13.1 - Prob. 3RCCh. 13.1 - Prob. 4RCCh. 13.1 - Prob. 1ESCh. 13.1 - Prob. 2ESCh. 13.1 - Prob. 3ESCh. 13.1 - Prob. 4ESCh. 13.1 - Prob. 5ESCh. 13.1 - Prob. 6ESCh. 13.1 - Prob. 7ESCh. 13.1 - Prob. 8ESCh. 13.1 - Prob. 9ESCh. 13.1 - Prob. 10ESCh. 13.1 - Prob. 11ESCh. 13.1 - Prob. 12ESCh. 13.1 - Prob. 13ESCh. 13.1 - Prob. 14ESCh. 13.1 - Prob. 15ESCh. 13.1 - Prob. 16ESCh. 13.1 - Prob. 17ESCh. 13.1 - Prob. 18ESCh. 13.1 - Prob. 19ESCh. 13.1 - Prob. 20ESCh. 13.1 - Prob. 21ESCh. 13.1 - Prob. 22ESCh. 13.1 - Prob. 23ESCh. 13.1 - Prob. 24ESCh. 13.1 - Prob. 25ESCh. 13.1 - Prob. 26ESCh. 13.1 - Prob. 27ESCh. 13.1 - Prob. 28ESCh. 13.1 - Prob. 29ESCh. 13.1 - Prob. 30ESCh. 13.1 - Prob. 31ESCh. 13.1 - Prob. 32ESCh. 13.1 - Prob. 33ESCh. 13.1 - Prob. 34ESCh. 13.1 - Prob. 35ESCh. 13.1 - Prob. 36ESCh. 13.1 - Prob. 37ESCh. 13.1 - Prob. 38ESCh. 13.1 - Prob. 39ESCh. 13.1 - Prob. 40ESCh. 13.1 - Prob. 41ESCh. 13.2 - Prob. 1SRCh. 13.2 - Prob. 2SRCh. 13.2 - Prob. 1DECh. 13.2 - Prob. 2DECh. 13.2 - Prob. 3DECh. 13.2 - Prob. 4DECh. 13.2 - Prob. 1RCCh. 13.2 - Prob. 2RCCh. 13.2 - Prob. 3RCCh. 13.2 - Prob. 4RCCh. 13.2 - Prob. 1ESCh. 13.2 - Prob. 2ESCh. 13.2 - Prob. 3ESCh. 13.2 - Prob. 4ESCh. 13.2 - Prob. 5ESCh. 13.2 - Prob. 6ESCh. 13.2 - Prob. 7ESCh. 13.2 - Prob. 8ESCh. 13.2 - Prob. 9ESCh. 13.2 - Prob. 10ESCh. 13.2 - Prob. 11ESCh. 13.2 - Prob. 12ESCh. 13.2 - Prob. 13ESCh. 13.2 - Prob. 14ESCh. 13.2 - Prob. 15ESCh. 13.2 - Prob. 16ESCh. 13.2 - Prob. 17ESCh. 13.2 - Prob. 18ESCh. 13.2 - Prob. 19ESCh. 13.2 - Prob. 20ESCh. 13.2 - Prob. 21ESCh. 13.2 - Prob. 22ESCh. 13.2 - Prob. 23ESCh. 13.2 - Prob. 24ESCh. 13.2 - Prob. 25ESCh. 13.2 - Prob. 26ESCh. 13.2 - Prob. 27ESCh. 13.2 - Prob. 28ESCh. 13.2 - Prob. 29ESCh. 13.2 - Prob. 30ESCh. 13.2 - Prob. 31ESCh. 13.2 - Prob. 32ESCh. 13.2 - Prob. 33ESCh. 13.2 - Prob. 34ESCh. 13.2 - Prob. 35ESCh. 13.2 - Prob. 36ESCh. 13.2 - Prob. 37ESCh. 13.2 - Prob. 38ESCh. 13.2 - Prob. 39ESCh. 13.2 - Prob. 40ESCh. 13.2 - Prob. 41ESCh. 13.2 - Prob. 42ESCh. 13.2 - Prob. 43ESCh. 13.2 - Prob. 44ESCh. 13.2 - Prob. 45ESCh. 13.2 - Prob. 46ESCh. 13.2 - Prob. 47ESCh. 13.2 - Prob. 48ESCh. 13.2 - Prob. 49ESCh. 13.2 - Prob. 50ESCh. 13.2 - Prob. 51ESCh. 13.2 - Prob. 52ESCh. 13.2 - Prob. 53ESCh. 13.2 - Prob. 54ESCh. 13.2 - Prob. 55ESCh. 13.2 - Prob. 56ESCh. 13.3 - Prob. 1SRCh. 13.3 - Prob. 2SRCh. 13.3 - Prob. 1DECh. 13.3 - Prob. 2DECh. 13.3 - Prob. 3DECh. 13.3 - Prob. 4DECh. 13.3 - Prob. 5DECh. 13.3 - Prob. 6DECh. 13.3 - 7. Solve the system
Ch. 13.3 - Prob. 8DECh. 13.3 - Prob. 9DECh. 13.3 - Prob. 10DECh. 13.3 - Prob. 11DECh. 13.3 - Prob. 1RCCh. 13.3 - Prob. 2RCCh. 13.3 - Prob. 3RCCh. 13.3 - Prob. 4RCCh. 13.3 - Prob. 5RCCh. 13.3 - Prob. 6RCCh. 13.3 - Prob. 1ESCh. 13.3 - Prob. 2ESCh. 13.3 - Prob. 3ESCh. 13.3 - Prob. 4ESCh. 13.3 - Prob. 5ESCh. 13.3 - Prob. 6ESCh. 13.3 - Prob. 7ESCh. 13.3 - Prob. 8ESCh. 13.3 - Prob. 9ESCh. 13.3 - Prob. 10ESCh. 13.3 - Prob. 11ESCh. 13.3 - Prob. 12ESCh. 13.3 - Prob. 13ESCh. 13.3 - Prob. 14ESCh. 13.3 - Prob. 15ESCh. 13.3 - Prob. 16ESCh. 13.3 - Prob. 17ESCh. 13.3 - Prob. 18ESCh. 13.3 - Prob. 19ESCh. 13.3 - Prob. 20ESCh. 13.3 - Prob. 21ESCh. 13.3 - Prob. 22ESCh. 13.3 - Prob. 23ESCh. 13.3 - Prob. 24ESCh. 13.3 - Prob. 25ESCh. 13.3 - Prob. 26ESCh. 13.3 - Prob. 27ESCh. 13.3 - Prob. 28ESCh. 13.3 - Prob. 29ESCh. 13.3 - Prob. 30ESCh. 13.3 - Prob. 31ESCh. 13.3 - Prob. 32ESCh. 13.3 - Prob. 33ESCh. 13.3 - Prob. 34ESCh. 13.3 - Prob. 35ESCh. 13.3 - Prob. 36ESCh. 13.3 - Prob. 37ESCh. 13.3 - Prob. 38ESCh. 13.3 - Prob. 39ESCh. 13.3 - Prob. 40ESCh. 13.3 - Prob. 41ESCh. 13.3 - Prob. 42ESCh. 13.3 - Prob. 43ESCh. 13.3 - Prob. 44ESCh. 13.3 - Prob. 45ESCh. 13.3 - Prob. 46ESCh. 13.3 - Prob. 47ESCh. 13.3 - Prob. 48ESCh. 13.3 - Prob. 49ESCh. 13.3 - Prob. 50ESCh. 13.3 - Prob. 51ESCh. 13.3 - Prob. 52ESCh. 13.3 - Prob. 53ESCh. 13.3 - Prob. 54ESCh. 13.3 - Prob. 55ESCh. 13.3 - Prob. 56ESCh. 13.3 - Prob. 57ESCh. 13.3 - Prob. 58ESCh. 13.3 - Prob. 59ESCh. 13.3 - Prob. 60ESCh. 13.3 - Prob. 61ESCh. 13.3 - Prob. 62ESCh. 13.3 - Prob. 1MCRCh. 13.3 - Prob. 2MCRCh. 13.3 - Prob. 3MCRCh. 13.3 - Prob. 4MCRCh. 13.3 - Prob. 5MCRCh. 13.3 - Prob. 6MCRCh. 13.3 - Prob. 7MCRCh. 13.3 - Prob. 8MCRCh. 13.3 - Prob. 9MCRCh. 13.3 - Prob. 10MCRCh. 13.3 - Prob. 11MCRCh. 13.3 - Prob. 12MCRCh. 13.3 - Prob. 13MCRCh. 13.3 - Prob. 14MCRCh. 13.3 - Prob. 15MCRCh. 13.3 - Prob. 16MCRCh. 13.3 - Prob. 17MCRCh. 13.3 - Prob. 18MCRCh. 13.3 - Prob. 19MCRCh. 13.3 - Prob. 20MCRCh. 13.3 - Prob. 21MCRCh. 13.3 - Prob. 22MCRCh. 13.3 - Prob. 23MCRCh. 13.3 - Prob. 24MCRCh. 13.3 - Prob. 25MCRCh. 13.3 - Prob. 26UTDWCh. 13.3 - Prob. 27UTDWCh. 13.3 - Prob. 28UTDWCh. 13.3 - Prob. 29UTDWCh. 13.4 - Prob. 1SRCh. 13.4 - Prob. 2SRCh. 13.4 - Prob. 1DECh. 13.4 - Prob. 2DECh. 13.4 - Prob. 3DECh. 13.4 - Prob. 4DECh. 13.4 - Prob. 5DECh. 13.4 - Prob. 1RCCh. 13.4 - Prob. 2RCCh. 13.4 - Prob. 3RCCh. 13.4 - Prob. 4RCCh. 13.4 - Solve. Assignments. The professor teaching...Ch. 13.4 - Prob. 2ESCh. 13.4 - Prob. 3ESCh. 13.4 - Prob. 4ESCh. 13.4 - Prob. 5ESCh. 13.4 - Prob. 6ESCh. 13.4 - Prob. 7ESCh. 13.4 - Solve.
8. Basketball Scoring. Tony Parker of the...Ch. 13.4 - Prob. 9ESCh. 13.4 - Prob. 10ESCh. 13.4 - Prob. 11ESCh. 13.4 - Prob. 12ESCh. 13.4 - Prob. 13ESCh. 13.4 - Prob. 14ESCh. 13.4 - Prob. 15ESCh. 13.4 - Prob. 16ESCh. 13.4 - Prob. 17ESCh. 13.4 - Solve. Coffee Blends. The Java Joint wishes to mix...Ch. 13.4 - Prob. 19ESCh. 13.4 - Prob. 20ESCh. 13.4 - Prob. 21ESCh. 13.4 - Prob. 22ESCh. 13.4 - Prob. 23ESCh. 13.4 - Prob. 24ESCh. 13.4 - Prob. 25ESCh. 13.4 - Prob. 26ESCh. 13.4 - Prob. 27ESCh. 13.4 - Prob. 28ESCh. 13.4 - Prob. 29ESCh. 13.4 - Prob. 30ESCh. 13.4 - Prob. 31ESCh. 13.4 - Prob. 32ESCh. 13.4 - Prob. 33ESCh. 13.4 - Prob. 34ESCh. 13.4 - Prob. 35ESCh. 13.4 - Prob. 36ESCh. 13.4 - Prob. 37ESCh. 13.4 - Prob. 38ESCh. 13.4 - Prob. 39ESCh. 13.4 - Prob. 40ESCh. 13.4 - Prob. 41ESCh. 13.4 - Prob. 42ESCh. 13.4 - Prob. 43ESCh. 13.4 - Prob. 44ESCh. 13.4 - Prob. 45ESCh. 13.4 - Prob. 46ESCh. 13.4 - Prob. 47ESCh. 13.4 - Prob. 48ESCh. 13.4 - Prob. 49ESCh. 13.4 - Prob. 50ESCh. 13.4 - Prob. 51ESCh. 13.4 - Prob. 52ESCh. 13.4 - Prob. 53ESCh. 13.4 - Prob. 54ESCh. 13.4 - Automobile Maintenance. An automobile radiator...Ch. 13.4 - Prob. 56ESCh. 13.4 - Prob. 57ESCh. 13.5 - Prob. 1SRCh. 13.5 - Prob. 2SRCh. 13.5 - Prob. 1DECh. 13.5 - Prob. 2DECh. 13.5 - Prob. 3DECh. 13.5 - Prob. 4DECh. 13.5 - Prob. 1TFSCh. 13.5 - Prob. 2TFSCh. 13.5 - Prob. 3TFSCh. 13.5 - Prob. 4TFSCh. 13.5 - Prob. 5TFSCh. 13.5 - Prob. 6TFSCh. 13.5 - Prob. 7TFSCh. 13.5 - Prob. 8TFSCh. 13.5 - Prob. 9TFSCh. 13.5 - Prob. 10TFSCh. 13.5 - Prob. 1RCCh. 13.5 - Prob. 2RCCh. 13.5 - Prob. 3RCCh. 13.5 - Prob. 4RCCh. 13.5 - Prob. 1ESCh. 13.5 - Solve. In Exercises 1-6, complete the chart to aid...Ch. 13.5 - Prob. 3ESCh. 13.5 - Prob. 4ESCh. 13.5 - Prob. 5ESCh. 13.5 - Prob. 6ESCh. 13.5 - Prob. 7ESCh. 13.5 - Prob. 8ESCh. 13.5 - Prob. 9ESCh. 13.5 - Prob. 10ESCh. 13.5 - Prob. 11ESCh. 13.5 - Prob. 12ESCh. 13.5 - Prob. 13ESCh. 13.5 - Prob. 14ESCh. 13.5 - Prob. 15ESCh. 13.5 - Prob. 16ESCh. 13.5 - Prob. 17ESCh. 13.5 - Prob. 18ESCh. 13.5 - Prob. 19ESCh. 13.5 - Prob. 20ESCh. 13 - Complete each statement with the correct term from...Ch. 13 - Prob. 2VRCh. 13 - Prob. 3VRCh. 13 - Prob. 4VRCh. 13 - Prob. 5VRCh. 13 - Prob. 6VRCh. 13 - Prob. 1CORCh. 13 - Prob. 2CORCh. 13 - Prob. 3CORCh. 13 - Prob. 4CORCh. 13 - Prob. 1SGPECh. 13 - Prob. 2SGPECh. 13 - Prob. 3SGPECh. 13 - Prob. 4SGPECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Rectangle Dimensions....Ch. 13 - Prob. 24RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Window Cleaner. Clear...Ch. 13 - Solve. [ 13.2c ],[ 13.4a ] Weights of Elephants. A...Ch. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Solve.
32. Air Travel. An airplane flew for 4 hr...Ch. 13 - Solve. [ 13.5a ] Car Travel. One car leaves...Ch. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Ancient Chinese Math Problem. Several ancient...Ch. 13 - Prob. 1UTDWCh. 13 - Prob. 2UTDWCh. 13 - Prob. 3UTDWCh. 13 - Discuss the advantages of using a chart to...Ch. 13 - Prob. 1TCh. 13 - Prob. 2TCh. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Prob. 8TCh. 13 - Prob. 9TCh. 13 - Prob. 10TCh. 13 - Solve.
11. Mixture of Solutions. Solution A is 25%...Ch. 13 - Prob. 12TCh. 13 - Solve.
13. Carnival Income. A traveling carnival...Ch. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20TCh. 13 - Prob. 21TCh. 13 - Prob. 22T
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