A First Course in Differential Equations with Modeling Applications (MindTap Course List)
11th Edition
ISBN: 9781305965720
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter A, Problem 47E
To determine
The derivative of the function
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Question 16.
Obtain the derivative of the function f(x)
(8z +9)-8 in the form
A(Bx + C)P, where A, B, C, D are integers and B and C have no common factors.
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For 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
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%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
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42. f(x) = g(x) = 4x + 1
For each dif erential equation in Problems 1–21, find the general solutionby finding the homogeneous solution and a particular solution.
Please DO NOT YOU THE PI method where 1/f(r) * x. Dont do that.
Instead do this, assume for yp = to something, do the 1 and 2 derivative of it and then plug it in the equation to find the answer.
Chapter A Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
Ch. A - In Problems 1 and 2 evaluate the given quantity....Ch. A - Prob. 2ECh. A - Prob. 3ECh. A - Prob. 4ECh. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10E
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Prob. 21ECh. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - In Problems 25 and 26 use the indicated...Ch. A - Prob. 26ECh. A - Prob. 27ECh. A - Prob. 28ECh. A - Prob. 29ECh. A - Prob. 30ECh. A - Prob. 31ECh. A - Prob. 32ECh. A - Prob. 33ECh. A - Prob. 34ECh. A - Show that the beta function is symmetric in x and...Ch. A - Prob. 36ECh. A - Prob. 37ECh. A - Prob. 38ECh. A - Prob. 39ECh. A - Prob. 40ECh. A - Prob. 41ECh. A - Prob. 42ECh. A - Prob. 43ECh. A - Prob. 44ECh. A - Prob. 45ECh. A - Prob. 46ECh. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56E
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