ANSWER
My answer is in the photo above
Answer:
see below
Step-by-step explanation:
1. If we subtract c^n from both sides of the equation and substitute the given values for a, b, c, we find the problem is equivalent to showing ...
3^n +4^n -5^n ≠ 0
The attached table (and graph) show this is true (the original equation is FALSE) for values of n other than 2.
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2. As for problem 1, the question is equivalent to showing ...
3^n +4^n -5^n = 0
for n = 2. Again, the attached table (and graph) show this is TRUE.
Answer:
The second approximation to the root of the equation is -1.5000.
Step-by-step explanation:
The Newton's method is a numerical method by approximation that help find roots of a equation of the form with the help of the equation itself and its first derivative. The Newton's formula is:
Where:
- i-th approximation, dimensionless.
- (i+1)-th approximation, dimensionless.
- Function evaluated at the i-th approximation, dimensionless.
- First derivative of the function evaluated at the i-th approximation, dimensionless.
The function and its first derivative are and , respectively. Now, the Newton's formula is expanded:
If , the value of is:
The second approximation to the root of the equation is -1.5000.
The answer to this question is 3