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3 years ago

-4(9z -2) hurrryyyyyyyyyyyyyyyyyyyyyyy

2 answers:

6 0

Using the distributive property,
-4 times 9z = -36z
-4 times -2 = 8

-36z + 8

We cannot simplify it any more, so your answer is simple: -36z+ 8

Sergio039 [100]3 years ago

5 0

We will use the distributive property. -4 times 9z=-36z -4 times -2=8 so we have -36z+8 as our answer

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Integration: How would I get to this answer?

Scrat [10]

Given that $y$ attains a maximum at $x=1$ , it follows that $y'=0$ at that same point. So integrating once gives

$\displaystyle\int\frac{\mathrm d^2y}{\mathrm dx^2}\,\mathrm dx=\int-8x\,\mathrm dx$
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and so the first derivative is $y'=-4x^2+4$ .

Integrating again, you get

$\displaystyle\int\frac{\mathrm dy}{\mathrm dx}\,\mathrm dx=\int(-4x^2+4)\,\mathrm dx$
$y=-\dfrac43x^3+4x+C_2$

You know that this curve passes through the point (2, -1), which means when $x=2$ , you have $y=-1$ :

$-1=-\dfrac43(2)^3+4(2)+C_2$
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and so

$y=-\dfrac43x^3+4x+\dfrac53$

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2 years ago

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