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miss Akunina [59]
3 years ago
5

Help me with this problem

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

x = -59/66

Step-by-step explanation:

Solve for x over the real numbers:

log(7) - log(x + 1) = log(66)

Subtract log(7) from both sides:

-log(x + 1) = log(66) - log(7)

Multiply both sides by -1:

log(x + 1) = log(7) - log(66)

log(7) - log(66) = log(7) + log(1/66) = log(7) + log(1/66) = log(7/66) = log(7/66):

log(x + 1) = log(7/66)

Cancel logarithms by taking exp of both sides:

x + 1 = 7/66

Subtract 1 from both sides:

Answer:  x = -59/66

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Answer:

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Part B.

It is evident that Newton's method fails in two cases, as:

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Part C.

In case  x_{i+1} is close to x_{i}, the choice that shouldbe made instead of ± in part A is:

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Part D.

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or h² = -hf(a)/f'(a)

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