EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 5, Problem 8P
Find the positive square root of 18 using the false-position method to within
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An integer is chosen at random from the first 100 positive integers. Find the probability that the chosen
integer is Multiple of 10:
(a) 99/100
(b) 0
(c) 10
(d) 1/10
A root of the function
f(x) = x3 – 10x² +5
lies close to x = 0.7. Doing three iterations, compute this root using the Newton-
Raphson method with an initial guess of x=1).
Newton-Raphson iterative equation is given as:
f(x;)
Xi+1 = Xị -
f'(xi)
by using simple iteration method find one root of the following equation e^2x-tanx=e^-3pi/2 use 5D
Chapter 5 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 5 - 5.1 Determine the real roots...Ch. 5 - 5.2 Determine the real root of:
(a) Graphically....Ch. 5 - 5.3 Determine the real root of:
(a)...Ch. 5 - Determine the roots of f(x)=1221x+18x22.75x3...Ch. 5 - Locate the first nontrivial root of sin x=x2wherex...Ch. 5 - 5.6 Determine the positive real root of (a)...Ch. 5 - 5.7 Determine the real root of:...Ch. 5 - 5.8 Find the positive square root of 18 using the...Ch. 5 - 5.9 Find the smallest positive root of the...Ch. 5 - 5.10 Find the positive real root of using the...
Ch. 5 - 5.11 Determine the real root of: (a) analytically...Ch. 5 - 5.12 Given
Use bisection to determine the...Ch. 5 - 5.13 The velocity v of a falling parachutist is...Ch. 5 - 5.14 Use bisection to determine the drag...Ch. 5 - As depicted in Fig. P5.15, the velocity of water,...Ch. 5 - 5.16 Water is flowing in a trapezoidal channel at...Ch. 5 - 5.17 You are designing a spherical tank (Fig....Ch. 5 - The saturation concentration of dissolved oxygen...Ch. 5 - 5.19 According to Archimedes principle, the...Ch. 5 - 5.20 Perform the same computation as in Prob....Ch. 5 - 5.21 Integrate the algorithm outlined in Fig. 5.10...Ch. 5 - Develop a subprogram for the bisection method that...Ch. 5 - 5.23 Develop a user-friendly program for the...Ch. 5 - Develop a subprogram for the false-position method...Ch. 5 - 5.25 Develop a user-friendly subprogram for the...Ch. 5 - 5.26 Develop a function for bisection in a similar...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 4. Using the method of Least Squares, determine to 6-decimal place the necessary values of the coefficient C1 and C2 in the equation from the given data points. 1 y = C, + C2x A C 2.07 8.60 14.42 15.8 Where: ABCDEF is your student number. Example, if your student number is 484321. A = 4 B = 8 C = 4 D = 3 5. Using the same data points given in problem 4, solve for the Newton's Interpolating Polynomials.arrow_forwardEx.15: Compute the temperature distribution in a rod that is heated at both ends as depicted in the following figure. Use Gauss- Seidel method given that:- T₁+2T₁+T₁_₁ = 0 where T, represents the temperature at any nodal point. Perform your calculation correct to five decimal places, and use (T = 0) as an initial guess. To = -10 °C T₁ x T₂ T3 Ts = 10 °Carrow_forward6 108 polynomial is used to approximate v8, the answer is: dy 13. of the parametric equations x: 2-3t 3+2t and y =- is dx Use the following information for Questions 14 and 15: 1+t 1+t Using the Newton-Raphson method to determine the critical co-ordinate of the graph y=f(x)=(x)*an (*) (in words x to the power of tan (x)), you will be required to determine f'(x) 14. The expression for f'(x) is: The following tools were required in determining an expression for f'(x): Application of the natural logarithm 15. I. II. The product rule III. Implicit differentiationarrow_forward
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