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Natali [406]
3 years ago
10

Simplify and leave in radical form. 8√x^2 y^6

Mathematics
2 answers:
Viktor [21]3 years ago
4 0
Correct answer: 8xy^6                        <span />
scoundrel [369]3 years ago
3 0
8sqrt(x^2y^6)
8sqrt(x•x•y•y•y•y•y•y)

Since there are 2 xs, we can pull them out of the radical.
8xsqrt(y•y•y•y•y•y)

Since there are 6 ys, we can pull them all out and there are 3 left now.
8xy^3

There is nothing left inside the radical so we can get rid of it!


Best wishes:)
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= 4.810 is positive

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Now we pick a number between   \frac{7\pi}{4} to 2pi

Lets pick  \frac{11\pi}{6}

Plug it into the derivative

f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))

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Increasing interval is (0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)

Decreasing interval is (\frac{3\pi}{4}, \frac{7\pi}{4})

(b)

The graph of f(x) increases and reaches a local maximum at x=\frac{3\pi}{4}

The graph of f(x) decreases and reaches a local minimum at x=\frac{7\pi}{4}

(c)

f(0) = 0

f(2\pi)=0

f(\frac{3\pi }{4})=7.46

f(\frac{7\pi}{4})=-172.64

Here global maximum at x=\frac{3\pi}{4}

Here global minimum at x=\frac{7\pi}{4}


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3 years ago
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