2 years ago

Determine the area of the shape below.

Mathematics

1 answer:

brilliants [131]2 years ago

6 0

Answer 230

Step-by-step explanation:

Add the area of the rectangle (160) to the area of the triangles (70 (35 each))

Area of a triangle 1/2bh

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Answer:

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Step-by-step explanation:

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Find the deriative dy/dx for y=x^2-2x/x^3+3

vaieri [72.5K]

Answer:

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

Step-by-step explanation:

So we want to find the derivative of the rational equation:

$y=\frac{x^2-2x}{x^3+3}$

First, recall the quotient rule:

$(\frac{f}{g})'=\frac{f'g-fg'}{g^2}$

Let f be x^2-2x and let g be x^3+3.

Calculate the derivatives of each:

$f=x^2-2x\\f'=2x-2$

$g=x^3+3\\g=3x^2$

So:

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

Use the above format:

$\frac{dy}{dx}=\frac{f'g-fg'}{g^2}\\\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})$

And that's our answer :)

(If you want to, you can also expand. However, no terms will be canceled.)

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3 years ago

Which expressions are equivalent to the expression below?

Sever21 [200]

Step-by-step explanation:

(-2/6)+(24-1/6)

-2+23/6

21/6

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3 years ago