Question

Each equation has one root. Use Newton’s Method to approximate
the root to eight correct

decimal places. (a) x3 = 2x + 2 (b) ex + x = 7 (c) ex + sin x =
4

**MUST BE DONE IN MATLAB AND NEED CODE

Answer #1

**a) root =** 1.769292354238631

**Matlab code:**

format long;

x=5;

h = (x^3 -2*x - 2) /(3*(x^2) - 2);;

i = 1;

while(abs(h) >= 0.00000001)

h = (x^3 -2*x - 2) /(3*(x^2) - 2);

x = x - h;

i=i+1;

end

x

**b) root = 1.672821698628906**

**Matlab code:**

format long;

x=5;

h = (exp(x) + x - 7) /(exp(x) + 1 );

i = 1;

while(abs(h) >= 0.00000001)

h = (exp(x) + x - 7) /(exp(x) + 1 );

x = x - h;

i=i+1;

end

x

**c) root = 1.129980498650833**

**Matlab code:**

format long;

x=5;

h = (exp(x) + sin(x) - 4) /(exp(x) + cos(x) );

i = 1;

while(abs(h) >= 0.00000001)

h = (exp(x) + sin(x) - 4) /(exp(x) + cos(x));

x = x - h;

i=i+1;

end

x

Each equation has one real root. Use Newton’s Method to
approximate the root to eight correct decimal places. (a) x5 + x =
1 (b) sin x = 6x + 5 (c) ln x + x2 = 3
**MUST BE DONE IN MATLABE AND SHOW CODE

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