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2 years ago

HELP ME PLEASE !!!!!!!!

Mathematics

1 answer:

german2 years ago

4 0

Answer:

the answer is the top one and the last one. Hope it helped :)

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Determine the open intervals on which the graph of f(x) = x - 4cos x is concave upward or concave downward

bazaltina [42]

The graph of the function $f(x)$ is

concave upward, when $f''(x)>0;$
concave downward, when $f''(x)$

Find $f''(x):$

$f'(x)=(x-4\cos x)'=1+4\sin x;$

$f''(x)=4\cos x.$

Now:

1. when $4\cos x>0,$ the graph of the function is concave upward and this is for

$x\in \left(-\dfrac{\pi}{2}+2\pi k,\dfrac{\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

2. when $4\cos x$ the graph of the function is concave downward and this is for

$x\in \left(\dfrac{\pi}{2}+2\pi k,\dfrac{3\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

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2 years ago

Which of the following is equivalent to the radical expression below? 5^8*13

Bezzdna [24]

Answer:

$(d)$ $5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}$

Step-by-step explanation:

Given

$5^{8.13}$

Required

Select an equivalent expression

$5^{8.13}$

Simplify the power

$5^{8.13} = 5^{8 + 0.1 + 0.03}$

Apply law of indices:

$5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}$

Express decimal as fractions

$5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}$

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ryzh [129]

Answer:

Step-by-step explanation:

We can see that the slope is positive, which means that the x-term must be positive.

If you expand and simply both equations into the form y = mx + b, you will find that m is positive for A and negative for B, hence A is the correct answer.

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312 is the LCM for this set

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