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dimulka [17.4K]
2 years ago
8

X⁶y⁴/xy²how would I simplify?Answer choices:A: x⁵y²B:x⁶y²C:x²y⁵D:(xy)⁷​

Mathematics
1 answer:
kolezko [41]2 years ago
4 0

Step-by-step explanation:

please mark me as brainlest

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On a trip last summer, I used 20 gallons of gas to travel 600 miles. At this rate, how much gas
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Answer:

45,000

Step-by-step explanation:

You should divide 20 by 600 to see how many miles he would run per mile

and you take 30 x 1,500 to get your answer

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A recipe for a loaf of bread calls for 2/3 of a cup of flour. If Milo used 12 cups of flour, how many loafs of bread did he prep
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[Please Mark as Brainliest]

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The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C>0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

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