Fundamentals of Differential Equations (9th Edition)
9th Edition
ISBN: 9780321977069
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Publisher: PEARSON
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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 19–22, construct a polynomial function f that has the given properties.
There is no unique answer.
19. f is of degree 4, its graph is symmetric with respect to the y-axis, y-intercept is
(0, –6)
In Problems 93–104, graph each polynomial function.
93. f(x) = x + 2r? - 5x - 6
94. f(x) = x' + &r? + 11x – 20
95. f(x) = 2x –x² + 2r – 1
96. f(x) = 2r + x² + 2x + 1
97. f(x) = x* + x² - 2
98. f(x) = x - 3x² – 4
%3D
%3D
99. f(x) = 4x* + 7x? – 2
100. f(x) = 4xr + 15x? - 4
101. f(x) = x* + x³ - 3x² - x + 2
%3D
%3D
%3D
102. f(x) = x* - x - 6r? + 4x + 8
103. f(x)
4x5 - 8x - x + 2
104. f(x) = 4xs + 12x - x - 3
Chapter 3 Solutions
Fundamentals of Differential Equations (9th Edition)
Ch. 3.2 - A brine solution of salt flows at a constant rate...Ch. 3.2 - A brine solution of salt flows at a constant rate...Ch. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - A swimming pool whose volume is 10,000 gal...Ch. 3.2 - The air in a small room 12 ft by 8 ft by 8 ft is...Ch. 3.2 - Prob. 7ECh. 3.2 - A tank initially contains s0 lb of salt dissolved...Ch. 3.2 - In 1990 the Department of Natural Resources...Ch. 3.2 - Use a sketch of the phase line (see Project B,...
Ch. 3.2 - Use a sketch of the phase line (see Project B,...Ch. 3.2 - Prob. 12ECh. 3.2 - In Problem 9, suppose we have the additional...Ch. 3.2 - Prob. 14ECh. 3.2 - In Problem 14, suppose we have the additional...Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Using the U.S. census data in Table 3.1 for 1900,...Ch. 3.2 - The initial mass of a certain species of fish is 7...Ch. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.3 - A cup of hot coffee initially at 95C cools to 80C...Ch. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - It was noon on a cold December day in Tampa: 16C....Ch. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Early Monday morning, the temperature in the...Ch. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Unless otherwise stated, in the following problems...Ch. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - When an object slides on a surface, it encounters...Ch. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Escape Velocity. According to Newtons law of...Ch. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - The power generated or dissipated by a circuit...Ch. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - A 108-F capacitor (10 nanofarads) is charged to 50...Ch. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - In many of the following problems, it will be...Ch. 3.6 - In Exercises 13-18, use a calculator or a computer...Ch. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.7 - Prob. 1ECh. 3.7 - Prob. 2ECh. 3.7 - As in Exercises 3.6, for some problems you will...Ch. 3.7 - As in Exercises 3.6, for some problems you will...Ch. 3.7 - Prob. 5ECh. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Prob. 8ECh. 3.7 - Prob. 9ECh. 3.7 - Prob. 10ECh. 3.7 - As in Exercises 3.6, for some problems you will...Ch. 3.7 - Prob. 12ECh. 3.7 - Prob. 13ECh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - Prob. 17ECh. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - Prob. 20ECh. 3.7 - Prob. 21E
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- In Problems 31–40, find the complex zeros of each polynomial function. Write f in factored form.arrow_forward2. Rewrite the following in vertex form, f(x) = a(x – h)² + k, and then state the vertex. %3D a. f(x) = x² – 6x + 7 b. g(x) = x² – 10x + 21 glx) = x2 -7.5. X + 25-25-21 %3D %3D flx):LX-3)22 gw)=(x-5)2-4 2 Ch,k): (3,-2) (x-S) 4 (5,4) 3. Discuss how to transform the graph of y = x² in order to obtain the graphs of #2a and #2b above. a. b. 2, hiarrow_forwardDifferentiate y = In x* V1-3x (2x-1)2 4 4 A. 1-3x 2x-1 4 B. -+ 4 1-3x 2х-1 1. 4. 1-3x 2x-1 4 D. + 1-3x 2x-1 C.arrow_forward
- Trace the following curve: 1. y = x3 – 9x² + 24x – 7 2. у %3 х(х3 — 8х2 + 24х — 32) 3. 8y = 3x5 – 50x³ + 135x | 4. y = (2x – 1)5 + 32 5. у%3D х* — бх2 — 7 -arrow_forwardWrite an equation for the translation of y = 4 that has the asymptotes x 7 and y = 6. Oy =- +7 X-6 4 Oy= x+7 4. +6 X-7 O y = - 4 Oy=- +7 x+6 9 Type here to searcharrow_forwardIn Problems 51–68, find the real zeros of f. Use the real zeros to factor f.arrow_forward
- In Problems 55–62, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, andthen find the value.arrow_forwardExpress. y=√(3x²-9) as a composition of u(x)=√x , v(x)= (x)² , j(x)=3x-9arrow_forwardExercises 143–145 will help you prepare for the material covered in the next section. y2 - yı 143. If (x1, yı) = (-3, 1) and (x2, y2) = (-2, 4), find X2 - X1 144. Find the ordered pairs (- 0) and (0, 4х — Зу - 6 % 0. satisfying 145. Solve for y: 3x + 2y – 4 = 0.arrow_forward
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