Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Chapter 6.1, Problem 1E
To determine
The four decimal approximated value of
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2. Suppose P(X|Y) = 1/3 and P(Y) = 1/4. What is
P(X NY)?
In Problems 47–58, use a calculator to solve each equation on the interval 0 … u 6 2p. Round answers to two decimal places. 47. sin θ = 0.4
48. cos θ = 0.6
49. tan θ = 5
50. cot θ = 2
51. cos θ = - 0.9
52. sin θ = - 0.2
53. sec θ = - 4
54. csc θ = - 3
55. 5 tan θ + 9 = 0
56. 4 cot θ = - 5
57. 3 sin θ - 2 = 0
58. 4 cos θ + 3 = 0
In Problems 1 through 6, express the solution of the given ini-
tial value problem as a sum of two oscillations as in Eq. (8).
Throughout, primes denote derivatives with respect to time t.
In Problems 1–4, graph the solution function x(t) in such a
way that you can identify and label (as in Fig. 3.6.2) its pe-
riod.
4. x" + 25x = 90 cos 41; x (0) = 0, x'(0) = 90
Chapter 6 Solutions
Advanced Engineering Mathematics
Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Prob. 12ECh. 6.2 - Prob. 13ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.3 - Prob. 1ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CR
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- 2. Solve for y in terms of x for the following equations: a) In(1- 2y) = x %3D b) In(y - 1) - In 2 = x + In x c) In(y? - 1) – In(y + 1) = In(sin x) d) e(In 2)y 1/2arrow_forwardIn Problems 71–80, solve each equation on the interval 0 ≤ θ < 2πarrow_forwardProblem. 9: Let z = x? 7 xy + 6 y? and suppose that (x, y) changes from (2, 1) to (1.95, 1.05 ). (Round your answers to four decimal places.) (a) Compute Az. (b) Compute dz. ?arrow_forward
- In Problems 1 through 6, express the solution of the given ini- tial value problem as a sum of two oscillations as in Eq. (8). Throughout, primes denote derivatives with respect to time t. In Problems 1–4, graph the solution function x(t) in such a way that you can identify and label (as in Fig. 3.6.2) its pe- riod. 3. x" + 100x = 225 cos 5t + 300 sin 5t; x(0) = 375, x'(0) = 0arrow_forward1. Find the general solution of the equation y" 1 By = 4yarrow_forwardIn Problems 43–46, solve each equation on the interval 0 ≤ θ < 2π43. sin(2θ) + sin (4θ) = 0 44. cos(2θ) + cos(4θ) = 0 45. cos(4θ)) - cos(6θ) = 0 46. sin(4θ) - sin(6θ) = 0arrow_forward
- 1. x = t2+1, y = t3-1arrow_forwardGiven 3 y' + 2.1 y = 3.4 x 2, y(0) = 4.9, the exact value of y(x = 3.1) most nearly isarrow_forwardIn Problems 1 through 6, express the solution of the given ini- tial value problem as a sum of two oscillations as in Eq. (8). Throughout, primes denote derivatives with respect to time t. In Problems 1–4, graph the solution function x(t) in such a way that you can identify and label (as in Fig. 3.6.2) its pe- riod. 2. x" + 4x = 5 sin 31; x(0) = x'(0) = 0arrow_forward
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