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AnnZ [28]
2 years ago
11

When the function f(x) = 8* is evaluated for x = 2, the output is: O 64. O 10. 16.

Mathematics
1 answer:
balandron [24]2 years ago
8 0

Answer:

\huge\boxed{\sf 64}

Step-by-step explanation:

<h3><u>Given function:</u></h3>

f(x) = 8^x

Put x = 2

f(2) = 8^2\\\\f(2) = 8 \times 8\\\\f(2) = 64\\\\\rule[225]{225}{2}

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7(x^2 y^2)dx 5xydyUse the method for solving homogeneous equations to solve the following differential equation.
aivan3 [116]

I'm guessing the equation should read something like

7(x^2+y^2) \,dx + 5xy \, dy = 0

or possibly with minus signs in place of +.

Multiply both sides by \frac1{x^2} to get

7\left(1 + \dfrac{y^2}{x^2}\right) \, dx + \dfrac{5y}x \, dy = 0

Now substitute

v = \dfrac yx \implies y = xv \implies dy = x\,dv + v\,dx

to transform the equation to

7(1+v^2) \, dx + 5v (x\,dv + v\,dx) = 0

which simplifies to

(7 + 12v^2) \, dx + 5xv\,dv = 0

The ODE is now separable.

\dfrac{5v}{7+12v^2} \, dv = -\dfrac{dx}x

Integrate both sides. On the left, substitute

w = 7+12v^2 \implies dw = 24v\, dv

\displaystyle \int \frac{5v}{7+12v^2} \, dv = -\int \frac{dx}x

\displaystyle \dfrac5{24} \int \frac{dw}w = -\int \frac{dx}x

\dfrac5{24} \ln|w| = -\ln|x| + C

Solve for w.

\ln\left|w^{5/24}\right| = \ln\left|\dfrac1x\right| + C

\exp\left(\ln\left|w^{5/24}\right|\right) = \exp\left(\ln\left|\dfrac1x\right| + C\right)

w^{5/24} = \dfrac Cx

Put this back in terms of v.

(7+12v^2)^{5/24} = \dfrac Cx

Put this back in terms of y.

\left(7+12\dfrac{y^2}{x^2}\right)^{5/24} = \dfrac Cx

Solve for y.

7+12\dfrac{y^2}{x^2} = \dfrac C{x^{24/5}}

\dfrac{y^2}{x^2} = \dfrac C{x^{24/5}} - \dfrac7{12}

y^2= \dfrac C{x^{14/5}} - \dfrac{7x^2}{12}

y = \pm \sqrt{\dfrac C{x^{14/5}} - \dfrac{7x^2}{12}}

8 0
2 years ago
What is the end of the CD account time when the money can be withdrawn? Maturity date End date Completion date Withdrawal date
lions [1.4K]
The correct answer for this question would be the first option. It is the MATURITY DATE that is seen in the end of the CD (Certificate of Deposit) account time when the money can be withdrawn. Hope this is the answer that you are looking for. 
7 0
4 years ago
219 is what percent of 146?
dexar [7]
....................The answer is 150
7 0
3 years ago
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Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
Advocard [28]

Answer:

no they are not

Step-by-step explanation:

priyas paint would be darker then mais paint because priya added an extra cup of red paint.

5 0
4 years ago
Find the greatest number which exactly divides 735 and 1155
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1155/735 =1 with remainder of 420

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315/105 = 3 with no remainder

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5 0
3 years ago
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