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Snowcat [4.5K]
4 years ago
5

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Mathematics
1 answer:
puteri [66]4 years ago
8 0

Answer:

I answered this already for you: brainly.com/question/16790720

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Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0
marin [14]

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

f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)

Eliminating C_2, we get

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

-5C_1 = \ln(6)

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)}

3 0
2 years ago
-(-2) and -/-2/ simplify to different numbers
kow [346]
I suppose the / are absolute value lines.... so ill answer it that way, -(-2) simplifies to 2. -/-2/ simplifies to -2
7 0
4 years ago
WILL GIVE BRAINLIEST 8+7-4
Korolek [52]

Answer:

11

Step-by-step explanation:

8 + 7 = 15.

15 - 4 = 11

Your answer would be 11.

4 0
3 years ago
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Diana bought a car for $4500 and plans to sell it to make a 30% profit . What should she sell it for to make a profit she desire
IrinaVladis [17]
Your answer will be 5850 30% of 4500 is 1350.
4500 + 1350 = 5850.

6 0
3 years ago
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A gallon of gas costs $3. 05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city.
worty [1.4K]

Answer: using the street route, he drove for half hour/0.50hr or 30minutes. Hence he covered 27miles on that trip, deducted from 54miles per hour for 0.5hr.Paid a toll fee of $1.25 which is the cost per car at the toll.

Step-by-step explanation: Choose all that apply A CH

6 0
2 years ago
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