3 years ago

Please help asapl really need help

Mathematics

1 answer:

mezya [45]3 years ago

8 0

Answer:

I think you have it already

Step-by-step explanation:

Take a bigger picture.

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

So all the critical points occur at multiples of $\pi$ , or $n\pi$ . (This includes all the even multiples of $\pi$ .)

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4 years ago

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alexira [117]

Answer:

Step-by-step explanation:

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Substitute x for whatever number is on the graph for x then do the math and get the answer for y and see if they are correct for each one.

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Marysya12 [62]

D is correct answers

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FinnZ [79.3K]

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Step-by-step explanation:

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