Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus
11th Edition
ISBN: 9780134434636
Author: Allyn J. Washington, Richard Evans
Publisher: PEARSON
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Chapter 4.2, Problem 22E
To determine
The exact values of tanθ and cosθ by using the given value secθ=√52.
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Students have asked these similar questions
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
Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus
Ch. 4.1 - Change 17°24′ to decimal form.
Ch. 4.1 - Prob. 2PECh. 4.1 - Prob. 3PECh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7E
Ch. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - In Exercises 15–18, by means of the definition of...Ch. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Exercises 19–22, use a calculator conversion...Ch. 4.1 - In Exercises 19–22, use a calculator conversion...Ch. 4.1 - In Exercises 19–22, use a calculator conversion...Ch. 4.1 - Prob. 22ECh. 4.1 - In Exercises 23–26, use a calculator conversion...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - In Exercises 31–34, change the given angles to...Ch. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - In Exercises 35–42, draw angles in standard...Ch. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - A windmill rotates 15.6 revolutions in a...Ch. 4.2 - In Example 2, change (3, 4) to (4, 3) and then...Ch. 4.2 - Prob. 2PECh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - In Exercises 3–18, find values of the...Ch. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - In Exercises 19–26, find the values of the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - In Exercises 19–26, find the values of the...Ch. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - In Exercises 27-30, each given point is on the...Ch. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.3 - Find the value of sin 12.5°.
Ch. 4.3 - Find θ if tan θ = 1.039.
Ch. 4.3 - Find the values of cot 56.4°.
Ch. 4.3 - Prob. 4PECh. 4.3 - Prob. 1ECh. 4.3 - In Example 5, change sec 27.82° to csc 27.82° and...Ch. 4.3 - In Exercises 1–4, make the given changes in the...Ch. 4.3 -
In Exercises 1–4, make the given changes in the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - In Exercises 41–44, use a calculator to verify the...Ch. 4.3 - Prob. 42ECh. 4.3 - In Exercises 41–44, use a calculator to verify the...Ch. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - In Exercises 51–54, find the values of the...Ch. 4.3 - In Exercises 51–54, find the values of the...Ch. 4.3 - In Exercises 51–54, find the values of the...Ch. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - In Exercises 55–60, solve the given problems.
The...Ch. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.4 - Prob. 1PECh. 4.4 - Prob. 2PECh. 4.4 - Prob. 3PECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 13ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 19ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 29ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - In Exercises 31–34, find the part of the triangle...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - In Exercises 35–38, find the indicated part of the...Ch. 4.4 - Prob. 37ECh. 4.4 - In Exercises 35–38, find the indicated part of the...Ch. 4.4 - Prob. 39ECh. 4.4 - In Exercises 39–42, solve the given problems.
40....Ch. 4.4 - In Exercises 39–42, solve the given problems.
41....Ch. 4.4 - Prob. 42ECh. 4.5 - Find θ if the letters in the road are 2.0 m long,...Ch. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 5ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 8ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - In Exercises 23-28, find the indicated...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - In Exercises 5–20, find the values of the...Ch. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - In Exercises 29–36, find the values of the...Ch. 4 - In Exercises 29–36, find the values of the...Ch. 4 - Prob. 36RECh. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - Prob. 38RECh. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - In Exercises 49 and 50, assume θ is an acute angle...Ch. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - In Exercises 51–60, solve the right triangles with...Ch. 4 - In Exercises 51–60, solve the right triangles with...Ch. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 -
In Exercises 61–105, solve the given...Ch. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - The apparent power S in an electric circuit in...Ch. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 88RECh. 4 - Prob. 89RECh. 4 - Prob. 90RECh. 4 - Prob. 91RECh. 4 - Prob. 92RECh. 4 - Prob. 93RECh. 4 - Prob. 94RECh. 4 - Prob. 95RECh. 4 - Prob. 96RECh. 4 - Prob. 97RECh. 4 - Prob. 98RECh. 4 - Prob. 99RECh. 4 - In Exercises 61–105, solve the given...Ch. 4 - Prob. 101RECh. 4 - Prob. 102RECh. 4 - Prob. 103RECh. 4 - Prob. 104RECh. 4 - In Exercises 61–105, solve the given...Ch. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Find tan θ in fractional form if (assume θ is...Ch. 4 - Find csc θ if tan θ = 1.294 (assume θ is acute).
Ch. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PT
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