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barxatty [35]
3 years ago
6

PLEASE HELP )100 POINTS)

Mathematics
2 answers:
KiRa [710]3 years ago
5 0

Answer:

The answer is D. Conditional

Step-by-step explanation:

Conditional statements are all written in the form of "IF _____, THEN _____"

Leviafan [203]3 years ago
5 0

The answer is conditional.

A conditional statement can be written as:

x -> y or If x, then y

In the question, it is written as "If A, then B." This is the same form as the example above, thus makes it true.

Best of Luck!

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If you do in fact mean f(1)=f(6)=0 (as opposed to one of these being the derivative of f at some point), then integrating twice gives

f''(x) = -\dfrac1{x^2}

f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1

f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2

From the initial conditions, we find

f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0

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Eliminating C_2, we get

(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))

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C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)

Then

\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}

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Please help to answer this question. 15 points
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