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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).
Describe Three Ways to Write Negative Fractions? There are three different ways that a negative fraction can be written. They are all represent the same value. 1. The negative
What is Order of Operations Simplifying Expressions? Kevin gives Don directions to his house: "Go left 3 blocks and then go right 2 blocks." Don wasn't paying close attention.
how is it done
Advantages and disadvantages of operation researchs
The conjugate of the complex number a + b i is the complex number a - b i . In other terms, it is the original complex number along the sign on the imaginary part changed. Here
group
two numbers differ by 7 and have a product of 120.what are they ?
MINIMAX regret method Minimax method assumes that the decision maker will experience 'regret' after he has made the decision and the events have happened. The decision maker ch
write a definition for associative property of multiplication in your own words and explain how you use it to compute 4*25*27 mentally
A worker retires with a lump sum superannuation benefit of $500,000. She immediately invests this money in a fund earning 5% pa effective. One year after retirement she begins maki
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