EBK APPLIED CALCULUS, ENHANCED ETEXT
6th Edition
ISBN: 9781119399353
Author: DA
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 9.6, Problem 25P
To determine
(a)
The differential equation for
To determine
(b)
The differential equation for
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University of Babylon
Faculty of Engineering-AIMusyab
Automobile Eng. Dep.
Year: 2022-2023,
2 Course, 1 Attempt
Note: Answer five questions only.
Stage Third
Subject: Numerical
Analysis
Date: 2023\\
Time: 3 Hour
Q1: Solve the poisson equation [Uxx + Uyy = -81xy),
[
Chapter 9 Solutions
EBK APPLIED CALCULUS, ENHANCED ETEXT
Ch. 9.1 - Prob. 1PCh. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4PCh. 9.1 - Prob. 5PCh. 9.1 - Prob. 6PCh. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Prob. 10P
Ch. 9.1 - Prob. 11PCh. 9.1 - Prob. 12PCh. 9.1 - Prob. 13PCh. 9.1 - Prob. 14PCh. 9.1 - Prob. 15PCh. 9.1 - Prob. 16PCh. 9.2 - Prob. 1PCh. 9.2 - Prob. 2PCh. 9.2 - Prob. 3PCh. 9.2 - Prob. 4PCh. 9.2 - Prob. 5PCh. 9.2 - Prob. 6PCh. 9.2 - Prob. 7PCh. 9.2 - Prob. 8PCh. 9.2 - Prob. 9PCh. 9.2 - Prob. 10PCh. 9.2 - Prob. 11PCh. 9.2 - Prob. 12PCh. 9.2 - Prob. 13PCh. 9.2 - Prob. 14PCh. 9.2 - Prob. 15PCh. 9.2 - Prob. 16PCh. 9.2 - Prob. 17PCh. 9.2 - Prob. 18PCh. 9.2 - Prob. 19PCh. 9.2 - Prob. 20PCh. 9.2 - Prob. 21PCh. 9.2 - Prob. 22PCh. 9.3 - Prob. 1PCh. 9.3 - Prob. 2PCh. 9.3 - Prob. 3PCh. 9.3 - Prob. 4PCh. 9.3 - Prob. 5PCh. 9.3 - Prob. 6PCh. 9.3 - Prob. 7PCh. 9.3 - Prob. 8PCh. 9.3 - Prob. 9PCh. 9.3 - Prob. 10PCh. 9.3 - Prob. 11PCh. 9.3 - Prob. 12PCh. 9.3 - Prob. 13PCh. 9.3 - Prob. 14PCh. 9.3 - Prob. 15PCh. 9.3 - Prob. 16PCh. 9.3 - Prob. 17PCh. 9.4 - Prob. 1PCh. 9.4 - Prob. 2PCh. 9.4 - Prob. 3PCh. 9.4 - Prob. 4PCh. 9.4 - Prob. 5PCh. 9.4 - Prob. 6PCh. 9.4 - Prob. 7PCh. 9.4 - Prob. 8PCh. 9.4 - Prob. 9PCh. 9.4 - Prob. 10PCh. 9.4 - Prob. 11PCh. 9.4 - Prob. 12PCh. 9.4 - Prob. 13PCh. 9.4 - Prob. 14PCh. 9.4 - Prob. 15PCh. 9.4 - Prob. 16PCh. 9.4 - Prob. 17PCh. 9.5 - Prob. 1PCh. 9.5 - Prob. 2PCh. 9.5 - Prob. 3PCh. 9.5 - Prob. 4PCh. 9.5 - Prob. 5PCh. 9.5 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.5 - Prob. 9PCh. 9.5 - Prob. 10PCh. 9.5 - Prob. 11PCh. 9.5 - Prob. 12PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 14PCh. 9.5 - Prob. 15PCh. 9.5 - Prob. 16PCh. 9.5 - Prob. 17PCh. 9.5 - Prob. 18PCh. 9.5 - Prob. 19PCh. 9.5 - Prob. 20PCh. 9.5 - Prob. 21PCh. 9.5 - Prob. 22PCh. 9.5 - Prob. 23PCh. 9.5 - Prob. 24PCh. 9.5 - Prob. 25PCh. 9.6 - Prob. 1PCh. 9.6 - Prob. 2PCh. 9.6 - Prob. 3PCh. 9.6 - Prob. 4PCh. 9.6 - Prob. 5PCh. 9.6 - Prob. 6PCh. 9.6 - Prob. 7PCh. 9.6 - Prob. 8PCh. 9.6 - Prob. 9PCh. 9.6 - Prob. 10PCh. 9.6 - Prob. 11PCh. 9.6 - Prob. 12PCh. 9.6 - Prob. 13PCh. 9.6 - Prob. 14PCh. 9.6 - Prob. 15PCh. 9.6 - Prob. 16PCh. 9.6 - Prob. 17PCh. 9.6 - Prob. 18PCh. 9.6 - Prob. 19PCh. 9.6 - Prob. 20PCh. 9.6 - Prob. 21PCh. 9.6 - Prob. 22PCh. 9.6 - Prob. 23PCh. 9.6 - Prob. 24PCh. 9.6 - Prob. 25PCh. 9.6 - Prob. 26PCh. 9.7 - Prob. 1PCh. 9.7 - Prob. 2PCh. 9.7 - Prob. 3PCh. 9.7 - Prob. 4PCh. 9.7 - Prob. 5PCh. 9.7 - Prob. 6PCh. 9.7 - Prob. 7PCh. 9.7 - Prob. 8PCh. 9.7 - Prob. 9PCh. 9.7 - Prob. 10PCh. 9.7 - Prob. 11PCh. 9.7 - Prob. 12PCh. 9 - Prob. 1SYUCh. 9 - Prob. 2SYUCh. 9 - Prob. 3SYUCh. 9 - Prob. 4SYUCh. 9 - Prob. 5SYUCh. 9 - Prob. 6SYUCh. 9 - Prob. 7SYUCh. 9 - Prob. 8SYUCh. 9 - Prob. 9SYUCh. 9 - Prob. 10SYUCh. 9 - Prob. 11SYUCh. 9 - Prob. 12SYUCh. 9 - Prob. 13SYUCh. 9 - Prob. 14SYUCh. 9 - Prob. 15SYUCh. 9 - Prob. 16SYUCh. 9 - Prob. 17SYUCh. 9 - Prob. 18SYUCh. 9 - Prob. 19SYUCh. 9 - Prob. 20SYUCh. 9 - Prob. 21SYUCh. 9 - Prob. 22SYUCh. 9 - Prob. 23SYUCh. 9 - Prob. 24SYUCh. 9 - Prob. 25SYUCh. 9 - Prob. 26SYUCh. 9 - Prob. 27SYUCh. 9 - Prob. 28SYUCh. 9 - Prob. 29SYUCh. 9 - Prob. 30SYUCh. 9 - Prob. 31SYUCh. 9 - Prob. 32SYUCh. 9 - Prob. 33SYUCh. 9 - Prob. 34SYUCh. 9 - Prob. 35SYUCh. 9 - Prob. 36SYUCh. 9 - Prob. 37SYUCh. 9 - Prob. 38SYUCh. 9 - Prob. 39SYUCh. 9 - Prob. 40SYUCh. 9 - Prob. 41SYUCh. 9 - Prob. 42SYUCh. 9 - Prob. 43SYUCh. 9 - Prob. 44SYUCh. 9 - Prob. 45SYUCh. 9 - Prob. 46SYUCh. 9 - Prob. 47SYUCh. 9 - Prob. 48SYUCh. 9 - Prob. 49SYUCh. 9 - Prob. 50SYUCh. 9 - Prob. 51SYUCh. 9 - Prob. 52SYUCh. 9 - Prob. 53SYUCh. 9 - Prob. 54SYUCh. 9 - Prob. 55SYUCh. 9 - Prob. 56SYUCh. 9 - Prob. 57SYUCh. 9 - Prob. 58SYUCh. 9 - Prob. 59SYUCh. 9 - Prob. 60SYUCh. 9 - Prob. 61SYUCh. 9 - Prob. 62SYUCh. 9 - Prob. 63SYUCh. 9 - Prob. 64SYUCh. 9 - Prob. 65SYUCh. 9 - Prob. 66SYUCh. 9 - Prob. 67SYUCh. 9 - Prob. 68SYUCh. 9 - Prob. 69SYUCh. 9 - Prob. 70SYUCh. 9 - Prob. 1FOTCh. 9 - Prob. 2FOTCh. 9 - Prob. 3FOTCh. 9 - Prob. 4FOTCh. 9 - Prob. 5FOTCh. 9 - Prob. 6FOTCh. 9 - Prob. 7FOTCh. 9 - Prob. 8FOTCh. 9 - Prob. 9FOTCh. 9 - Prob. 10FOTCh. 9 - Prob. 11FOTCh. 9 - Prob. 12FOTCh. 9 - Prob. 13FOTCh. 9 - Prob. 14FOTCh. 9 - Prob. 15FOTCh. 9 - Prob. 16FOTCh. 9 - Prob. 17FOTCh. 9 - Prob. 18FOTCh. 9 - Prob. 19FOTCh. 9 - Prob. 20FOTCh. 9 - Prob. 21FOT
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- Ministry of Higher Education & Scientific Research Babylon University College of Engineering- Al musayab Subject :Numerical Analysis Stage:Third Time: 2 hour Automobile Department Date:26-3-2023 nd 1st month exam/2" semester (2022-2023) Note: Answer all questions, all questions have same degree. Q1: Use Newton's method to find solutions to the system with two step Take (X,Yo)=(8,10). { x35x2 + 2xy + 13 = 0 x3 + x²-14x-y-19=0 Q2/:Solve the system by Gauss-Seidel iterative method.(Perform only three iterations). 8x-3y+2z-20 4x+11y-z-33 6x+3y+12z-35 03/:Curve fit the data using a power function X 2 4 8 5 6 0.7500 0.1875 0.1200 0.0833 0.0469arrow_forwardUniversity of Babylon Faculty of Engineering-AlMusyab Automobile Eng. Dep. Year: 2022-2023, 2nd Course, 1 Attempt Stage: Third Subject: Numerical Analysis Date: 2023\\ Time: 3 Hour dy = x + yl Q5-A: Using Euler's method, find an approximate value of (y) corresponding to (x=0.3),given that[- and [y=1 when x=0].(taking h=0.1). dx (10 M) Q5-B Find a root of an equation[f(x)=x-x-1] using Newton Raphson method to an accuracy of &=0. (10 M) Q6:Using Newton's divided differences formula, evaluate f(8) given: X 4 58 7 103 11 13 Y=f(x) 48 100 900 294 1210 2028 (20 M) Lexaminer: Examiner: Good luck W Head of Department:arrow_forwardExplain the conditions under which the Radius of Convergence of the Power Series is a "finite positive real number" r>0arrow_forward
- This means that when the Radius of Convergence of the Power Series is a "finite positive real number" r>0, then every point x of the Power Series on (-r, r) will absolutely converge (x ∈ (-r, r)). Moreover, every point x on the Power Series (-∞, -r)U(r, +∞) will diverge (|x| >r). Please explain it.arrow_forwardExplain the conditions under which Radious of Convergence of Power Series is infinite. Explain what will happen?arrow_forwardExplain the conditions under Radius of Convergence which of Power Series is 0arrow_forward
- Explain the key points and reasons for 12.8.2 (1) and 12.8.2 (2)arrow_forwardQ1: A slider in a machine moves along a fixed straight rod. Its distance x cm along the rod is given below for various values of the time. Find the velocity and acceleration of the slider when t = 0.3 seconds. t(seconds) x(cm) 0 0.1 0.2 0.3 0.4 0.5 0.6 30.13 31.62 32.87 33.64 33.95 33.81 33.24 Q2: Using the Runge-Kutta method of fourth order, solve for y atr = 1.2, From dy_2xy +et = dx x²+xc* Take h=0.2. given x = 1, y = 0 Q3:Approximate the solution of the following equation using finite difference method. ly -(1-y= y = x), y(1) = 2 and y(3) = −1 On the interval (1≤x≤3).(taking h=0.5).arrow_forwardConsider the function f(x) = x²-1. (a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative. Show all your steps clearly. (b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the graph where x 1 and x-> 1+h (for a small positive value of h, illustrate conceptually). Then, draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the value you found in part (a). (c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in the context of the graph of f(x). How does the rate of change of this function vary at different points?arrow_forward
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