2 years ago

How do you do this question?

Mathematics

1 answer:

erik [133]2 years ago

5 0

Step-by-step explanation:

Use the first fundamental theorem of calculus.

∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0

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Compute each quotient using the identities you discovered in this lesson.x^4-16/x-2

luda_lava [24]

Answer:

The quotient will be $(x^2+4)(x+2)$

Step-by-step explanation:

We have given the equation $\frac{x^4-16}{x-2}$

We have to find the quotient

From algebraic equation we know that $a^2-b^2=(a+b)(a-b)$

So $\frac{x^4-16}{x-2}=\frac{(x^2)^2-4^2}{x-2}=\frac{(x^2+4)(x^2-4)}{x-2}=\frac{(x^2+4)(x+2)(x-2)}{x-2}=(x^2+4)(x+2)$

So the quotient will be $(x^2+4)(x+2)$

8 0

2 years ago

What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch?

son4ous [18]

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=7 \end{cases}\implies V=\pi (9)^2(7) \\\\\\ V=\pi (81)(7)\implies V=567\pi \implies V\approx 1781.28\implies \stackrel{\textit{rounded up}}{V=1781}$