Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's ... Problems, 9th Edition, Single-Term
11th Edition
ISBN: 9781337761000
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter 9, Problem 3RE
To determine
The value of
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In Problems 11–20, for the given functions f and g. find:
(a) (f° g)(4)
(b) (g•f)(2)
(c) (fof)(1)
(d) (g ° g)(0)
\ 11. f(x) = 2x; g(x) = 3x² + 1
12. f(x) = 3x + 2; g(x) = 2x² – 1
1
13. f(x) = 4x² – 3; g(x) = 3
14. f(x) = 2x²; g(x) = 1 – 3x²
15. f(x) = Vx; 8(x) = 2x
16. f(x) = Vx + 1; g(x) = 3x
%3D
1.
17. f(x) = |x|; g(x) =
18. f(x) = |x – 2|: g(x)
x² + 2
2
x + 1
x² + 1
19. f(x) =
3
8(x) = Vĩ
20. f(x) = x³/2; g(x) =
X + 1'
I need help with #22, and #24. For those questions I need you to explain to me as you solve step by step and show me how to do it and the formulas you used. Thank You, for you service.
In Problems 2–4, for the given functions fand g find:
(a) (f° g) (2)
(b) (g • f)(-2)
(c) (fo f) (4)
(d) (g ° 8) (-1)
2. f(x) = 3x – 5; g(x) = 1 – 2r
3. f(x) = Vx + 2: g(x) = 2x² + 1
4. f(x) = e"; g(x) = 3x – 2
Chapter 9 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's ... Problems, 9th Edition, Single-Term
Ch. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - Prob. 4ECh. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - Prob. 6ECh. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - In Problems 110 use the improved Eulers method to...
Ch. 9.1 - Consider the initial-value problem y′ = (x + y –...Ch. 9.1 - Consider the initial-value problem y = 2y, y(0) =...Ch. 9.1 - Repeat Problem 13 using the improved Eulers...Ch. 9.1 - Repeat Problem 13 using the initial-value problem...Ch. 9.1 - Repeat Problem 15 using the improved Euler’s...Ch. 9.1 - Consider the initial-value problem y = 2x 3y + 1,...Ch. 9.1 - Repeat Problem 17 using the improved Euler’s...Ch. 9.1 - Repeat Problem 17 for the initial-value problem y′...Ch. 9.1 - Repeat Problem 19 using the improved Euler’s...Ch. 9.1 - Answer the question Why not? that follows the...Ch. 9.2 - Use the RK4 method with h = 0.1 to approximate...Ch. 9.2 - Assume that (4). Use the resulting second-order...Ch. 9.2 - In Problems 3–12 use the RK4 method with h = 0.1...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 3–12 use the RK4 method with h = 0.1...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - If air resistance is proportional to the square of...Ch. 9.2 - Consider the initial-value problem y = 2y, y(0) =...Ch. 9.2 - Repeat Problem 16 using the initial-value problem...Ch. 9.2 - Consider the initial-value problem y′ = 2x – 3y +...Ch. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - In Problems 58 use the Adams-Bashforth-Moulton...Ch. 9.4 - Use Eulers method to approximate y(0.2), where...Ch. 9.4 - Use Euler’s method to approximate y(1.2), where...Ch. 9.4 - Prob. 3ECh. 9.4 - In Problems 3 and 4 repeat the indicated problem...Ch. 9.4 - Prob. 5ECh. 9.5 - In Problems 110 use the finite difference method...Ch. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - In Problems 1 – 10 use the finite difference...Ch. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - The electrostatic potential u between two...Ch. 9.5 - Prob. 13ECh. 9 - In Problems 14 construct a table comparing the...Ch. 9 - In Problems 14 construct a table comparing the...Ch. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RE
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- Problem 1. Let X ~ Gamma(a = 2,0 = 2). Compute: (1) VaRo.975(X) (2) ex(9.488) (3) TVAR0.975(X) and TVAR0.95(X)arrow_forwardFor f(x) and g(x) given in Problems 35–38, find (a) (f + g)(x) (b) (f – g)(x) (c) (f'g)(x) (d) (f/g)(x) 35. f(x) = 3x g(x) = x' 36. f(x) = Vx g(x) = 1/x 37. f(x) = V2x g(x) = x² 38. f(x) = (x – 1)? g(x) = 1 – 2x Click to %3D For f(x) and g(x) given in Problems 39–42, find (a) (fº g)(x) (b) (g •f)(x) (c) ƒ(f(x)) (d) f(x) = (f·f)(x) 39. f(x) = (x – 1)³ g(x) = 1 – 2x 40. f(x) = 3x g(x) = x' – 1 41. f(x) = 2Vx g(x) = x* + 5 %3D %3D 1 42. f(x) = g(x) = 4x + 1arrow_forward9(a). Suppose that in the "water and plant growth height" example we have four plants in the experiment and after the growing season is over we record the following data: Amount of water (x): 1 2 3 4 Growth height (y): 6.4 6.6 7.6 9.4 You are given that with these data, x= 2.5, j=7.5, sxx = 5, Sxy value of the Type I error is 0.05, test the null hypothesis B = 0 against the alternative hypothesis B>0. = 5 and syy = 5.64. If the chosen 9(b). Suppose now that the data had been: Amount of water (x): 1 3 Growth height (y): 6.7 6.3 7.3 9.7 5 and You are given that with these data, x= 2.5, y=7.5, Sxx = 5, Sxy value of the Type I error is 0.05, test the null hypothesis B = 0 against the alternative hypothesis ß > 0. Syy 6.96. If the chosen 9(c). If you reach a different conclusion concerning accepting or rejecting the null hypothesis in parts 9(a) and 9(b) of this question, what is the main reason for this difference?arrow_forward
- 2.6-2. Given the difference equation - 2) = 3(k+ 1) + x(k)= y(k + 2) where y(0) = y(1) = 0, e(0) = 0, and e(k) = 1. k=1,2,... (a) Solve for y(k) as a function of k, and give the numerical values of y(k), (b) Solve the difference equation directly for y(k), 0 k 4. to verify (c) Repeat parts (a) and (b) for e(k)= 0 for all k, and y(0) = 1, y(1) = -2. the results 0 sks 4. of part (a). y (k)arrow_forward3. y = x Input (x) Output (y) -2 2 ON46arrow_forward#7arrow_forward
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