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3 years ago

how many different ways can a coach select the captain and co-captain of a team from a group of 20 people

Mathematics

1 answer:

Lisa [10]3 years ago

7 0

20 different ways i think

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Cindy won the lottery, and she gave her family $1.000.00 less than of her winnings. If the jackpot was worth $35.000.00, how muc

Leviafan [203]

That would be $34.000.000 since it’s just subtracting ( less than ) the main number minus the number she didn’t give away.

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3 years ago

How do you solve the literal equation y=4/5x-9?

Wewaii [24]

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todays my birthday

Step-by-step explanation:

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3 years ago

-7=x 59/(-9) what is the answer to this

skelet666 [1.2K]

I got x= 63/59
i used mathpapa.com for these questions hoped this is right and helped

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3 years ago

If x = a cosθ and y = b sinθ , find second derivative

Olin [163]

I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.

$\dfrac{\mathrm d^2y}{\mathrm dx^2}$

Compute the first derivative. By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta$

$x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta$

and so

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta$

Now compute the second derivative. Notice that $\frac{\mathrm dy}{\mathrm dx}$ is a function of $\theta$ ; so denote it by $f(\theta)$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}$

By the chain rule,

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta$

and so the second derivative is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta$

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3 years ago

Simplify your answer and write it as a proper fraction or as a whole or mixed number.6 2/11 1/11 =

Kisachek [45]

6 3/11=6 2/11 + 1/11 = 6 3/11

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3 years ago