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1. Write two m-files, one for the bisection method and another for Newton's method.
2. Using both the Bisection method and the Newton method answer the following:
Include the commands you typed into Matlab
a) Find the root to 3, 5, and 8 decimal places of f(x) = x2- 2 starting with an initial approximation of x=1.
b) How many steps did it take for the bisection method to find the root to 3, 5, and 8 decimal places?
c) How many steps did it take for the Newton method to find the root to 3, 5 and 8 decimal places?
3. Use Newton's method to find all the real roots of f(x) = x5+ x4 -4x3 - 3x2- 3x +1
4. Apply Newton's method to the function f(x) = x3 - x with an initial approximation of x=1/√5. Is the method converging? What happens? Explain your answer using the graph of f(x).
5. Use Newton's method on the function (x) = 3√5 . What happens when your initial approximation is not x=0? Explain your answer using the graph of f(x).
ther are 162 student in a school.20 of them are girls .how many are boy
What is the better buy?a square pizza measuring 8 inches by 8inches that cost $10 or a round pizza with a 9 inch diameter that also cost $10?
The Fourier series expansion for the periodic function, f ( t ) = |sin t | is defined in its fundamental interval. Taking π = 3.142, calculate the Fourier cosine series app
Childrens errors are a natural and inevitable part of their process of learning. In the process of grasping new concepts, children apply their existing understanding, which may
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Integration of square root of sin
What is Exponential Functions ? Exponent Laws Review: A) Ax / Ay = A(x + y) B) Ax / Ay = A(x - y) C) (ABC)x = AxBxCx D) ((Ax)y)z = Axyz E) (A/B)x = Ax /Bx Definition
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Test Of Hypothesis On Proportions It follows a similar method to the one for means except that the standard error utilized in this case: Sp = √(pq/n) Z score is computed
Problems Involving Motion - Word Problems: How far can a car travelling at a rate of 52 miles per hour travel in 2½ hours? Solution: Using Equation 13: s = vavt
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