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2. The Colebrook equation for the Darcy friction factor, f, is written as: ./1/f + 0.86 In(y +2.51 3.7 NRevf For a...
Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2...
Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2 +3x−7 Calculate the accuracy of the solution to 1 × 10−10. Find the number of iterations required to achieve this accuracy. Compute the root of the equation with the bisection method. Your program should output the following lines: • Bisection Method: Method converged to root X after Y iterations with a relative error of Z.
1. 10 points Find the positive solution of the equation cosx=0.3x (ie. the positive root of...
1. 10 points Find the positive solution of the equation cosx=0.3x (ie. the positive root of cosx-03x=0) using the bisection method with [0, 2] chosen as the initial interval. (a) Perform the first 3 iterations by hand and calculate the relative error for the last iteration; (b) Write a MATLAB code to find the root. The solution will be considered satisfactory if its relative error is smaller than 1%. Plot the relative error vs the number of iterations (must be...
this is numerical analysis QUESTION 1 (a) Apart from 1 = 0 the equation f(1) =...
this is numerical analysis
QUESTION 1 (a) Apart from 1 = 0 the equation f(1) = x2 - 4 sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation...
QUESTION 1 (a) Apart from = 0 the equation f(t) = 12 - 4sin r =...
QUESTION 1 (a) Apart from = 0 the equation f(t) = 12 - 4sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation with that incurred for the same...
i need the answer to be on a MatLab window 1. Consider the following equation, which...
i need the answer to be on a MatLab window
1. Consider the following equation, which represents the concentration (c, in mg/ml) of a drug in the bloodstream over time (t, in seconds). Assume we are interested in a concentration of c2 mg/ml C3te-0.4t A. Estimate the times at which the concentration is 2 mg/ml using a graphical method Be sure to show your plot(s). Hint: There are 2 real solutions B. Use MATLAB to apply the secant method (e.g....
please show answer in full with explanation, also show matlab 1. Consider the function f(x)2.753 +18r2 21 12 a) Plot...
please show answer in full with explanation, also show
matlab
1. Consider the function f(x)2.753 +18r2 21 12 a) Plot the graph of f(x) in MATLAB and find all the roots of the function f(x) graphically. Provide the code and the plot you obtained. b) Compute by hand the first root of the function with the bisection method, on the interval -1; 0) for a stopping criterion of 1% c) How many iterations on the interval -1, 0 are needed...
The equation f(x) = (1 ‐ x) cos x ‐ sin x = 0 has at...
The equation f(x) = (1 ‐ x) cos x ‐ sin x = 0 has at least one root between a = 0 and b = 1 since f(a)f(b) < 0. The bisection method of finding the root proceeds as follows: a. It finds the midpoint r = (a + b)/2. b. If f(r) = 0, then r is the root. If |b ‐ a| is very small less than ∈ then also we can take r as the root....
anbox (31184010sents * Microsoft Word - 1-friction facto X Downloads/midcomp.pdf In fluid flow problems, the flow...
anbox (31184010sents * Microsoft Word - 1-friction facto X Downloads/midcomp.pdf In fluid flow problems, the flow velocity in a long horizontal pipe depends on the pipe material, pipe geometry and fluid properties in addition to the pump power. For a horizontal pipe with a pump, the friction factor can be obtained from many correlations such as Colebrook-White Equation: 5.0452 Re IOR 2.8257 PDV 1 = -2 108 3.7065 +5.8506 (Re)-0.0001 (1) In which, fis the friction factor and pris the...
Please solve a,b,c,d,e,f 1) A water fountain is to be installed at a remote location by attaching a cast iron pipe directly to a water main through which water is flowing. The entrance to the pipe...
Please solve a,b,c,d,e,f
1) A water fountain is to be installed at a remote location by attaching a cast iron pipe directly to a water main through which water is flowing. The entrance to the pipe is sharp-edged 15m (K-0.5), and the 15m long piping system involves three 90 bends without vanes (K1.1), a fully open gate valve (K.-0.2), and a fully open angle valve (K-5). If the diameter of the pipe is 2 em and the system is to...
Task 2 (25 points + 4 points for commenting): Write computer code to perform the Fixed.Point...
Task 2 (25 points + 4 points for commenting): Write computer code to perform the Fixed.Point method and use your code to find the root of the following equation using an initial guess of 3 and a stopping criterion of 0.001%; f(x) e -4x For Fixed-Point, you do not have to code Matlab to take the derivatives of the function and check the g'(x). You can do that step by hand, and then show me your hand cal ulations to...
1. 10 points Find the positive solution of the equation cosx=0.3x (ie. the positive root of cosx-03x=0) using the bisection method with [0, 2] chosen as the initial interval. (a) Perform the first 3 iterations by hand and calculate the relative error for the last iteration; (b) Write a MATLAB code to find the root. The solution will be considered satisfactory if its relative error is smaller than 1%. Plot the relative error vs the number of iterations (must be...
this is numerical analysis
QUESTION 1 (a) Apart from 1 = 0 the equation f(1) = x2 - 4 sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation...
QUESTION 1 (a) Apart from = 0 the equation f(t) = 12 - 4sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation with that incurred for the same...
i need the answer to be on a MatLab window
1. Consider the following equation, which represents the concentration (c, in mg/ml) of a drug in the bloodstream over time (t, in seconds). Assume we are interested in a concentration of c2 mg/ml C3te-0.4t A. Estimate the times at which the concentration is 2 mg/ml using a graphical method Be sure to show your plot(s). Hint: There are 2 real solutions B. Use MATLAB to apply the secant method (e.g....
please show answer in full with explanation, also show
matlab
1. Consider the function f(x)2.753 +18r2 21 12 a) Plot the graph of f(x) in MATLAB and find all the roots of the function f(x) graphically. Provide the code and the plot you obtained. b) Compute by hand the first root of the function with the bisection method, on the interval -1; 0) for a stopping criterion of 1% c) How many iterations on the interval -1, 0 are needed...
anbox (31184010sents * Microsoft Word - 1-friction facto X Downloads/midcomp.pdf In fluid flow problems, the flow velocity in a long horizontal pipe depends on the pipe material, pipe geometry and fluid properties in addition to the pump power. For a horizontal pipe with a pump, the friction factor can be obtained from many correlations such as Colebrook-White Equation: 5.0452 Re IOR 2.8257 PDV 1 = -2 108 3.7065 +5.8506 (Re)-0.0001 (1) In which, fis the friction factor and pris the...
Please solve a,b,c,d,e,f
1) A water fountain is to be installed at a remote location by attaching a cast iron pipe directly to a water main through which water is flowing. The entrance to the pipe is sharp-edged 15m (K-0.5), and the 15m long piping system involves three 90 bends without vanes (K1.1), a fully open gate valve (K.-0.2), and a fully open angle valve (K-5). If the diameter of the pipe is 2 em and the system is to...
Task 2 (25 points + 4 points for commenting): Write computer code to perform the Fixed.Point method and use your code to find the root of the following equation using an initial guess of 3 and a stopping criterion of 0.001%; f(x) e -4x For Fixed-Point, you do not have to code Matlab to take the derivatives of the function and check the g'(x). You can do that step by hand, and then show me your hand cal ulations to...
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