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4 years ago

F(2) = 20 and f(3) = 12

Mathematics

1 answer:

Illusion [34]4 years ago

8 0

Answer: 10(2)=20 and 4(3)=12

Step-by-step explanation:

1) Divide 20 by 2 which would be 10 that gives you the sum of F

2) Divide 12 by 3 which is equals 4 so thats the sum of F for f(3)=12

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Find the derivative in the form dy/dx

bezimeni [28]

ANSWER

$\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (ln(9 {x}^{2} ) + 1)$

EXPLANATION

The given equation is;

$y = {(3x)}^{ {x}^{2} }$

Take natural log of both sides:

$ln(y) = ln({(3x)}^{ {x}^{2} } )$

This implies that,

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We differentiate to get,

$\frac{1}{y} \frac{dy}{dx} = ln(3x) (2x) + {x}^{2} ( \frac{1}{x} )$

This simplifies to

$\frac{dy}{dx} =y (2x ln(3x) + x)$ We substitute for y to get:

$\frac{dy}{dx} = {(3x)}^{ {x}^{2} } (2x ln(3x) + x)$

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3 years ago

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3241004551 [841]

The equation given is:

15x - 3y = 21

Slope intercept form is:

y = mx + b

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-------------------

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The answer is: y = 5x - 7

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