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3 years ago

6,859^1/3 can be written as

Mathematics

1 answer:

zloy xaker [14]3 years ago

4 0

Answer:

∛6859 ( = 19).

Step-by-step explanation:

6,859^1/3 = ∛6859 (the cube root of 6859).

Using a calculator we see that this = 19.

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For convenience sake, I will let $y=f(x)=9e^{x}\sin x$

First, we evaluate the function at the endpoints of the interval.

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Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

$f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)$

Setting this equal to 0,

$9e^x (\cos x+\sin x)=0$

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So, the absolute minimum is $\boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)}$ and the absolute minima are $\boxed{(0,0), (\pi, 0)}$

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