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4 years ago

10

Find the values of the variables

1 answer:

blsea [12.9K]4 years ago

7 0

-12=2k means k is -6
-w^2 =-81 so w =9
2f=-14 so f=-7

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Express tan(23°−21°) in terms of tangents of 23∘and 21∘ You do NOT need to type in the degree symbol. Be sure to PREVIEW your an

Alja [10]

Answer:

tan(23° -21°) = (tan(23°) -tan(21°))/(1 +tan(23°)tan(21°))

Step-by-step explanation:

The formula for the tangent of the difference of angles is ...

tan(a-b) = (tan(a) -tan(b))/(1 +tan(a)tan(b))

Filling in the values a=23° and b=21°, you get the formula shown above.

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4 years ago

What is the approximate lateral area of the cylinder? Use 3.14 for r and round to

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Step-by-step explanation:

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3 years ago

Danny had 20 minutes to do a three-problem quiz. He spent 9 1/4 minutes on question A and 5 4/5 minutes on question B. How much

Travka [436]

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4 19/20

Step-by-step explanation:

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3 years ago

We would like to use the power series method to find the general solution to the differential equation d 2y dx2 − 4x dy dx + 12y

Feliz [49]

$y=\displaystyle\sum_{n\ge0}a_nx^n$

$\dfrac{\mathrm dy}{\mathrm dx}=\displaystyle\sum_{n\ge1}na_nx^{n-1}\implies4x\dfrac{\mathrm dy}{\mathrm dx}=4\sum_{n\ge1}na_nx^n=4\sum_{n\ge0}na_nx^n$

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Substituting into the ODE

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-4x\dfrac{\mathrm dy}{\mathrm dx}+12y=0$

gives

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so that the coefficients of the series are given according to

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We can shift the index in the recursive part of this definition to get

$a_n=\dfrac{4(n-5)a_{n-2}}{n(n-1)}$

for $n\ge2$ . There's dependency between coefficients that are 2 indices apart, so we can consider 2 cases:

If $n=2k$ , where $k\ge0$ is an integer, then

$k=0\implies n=0\implies a_0=a_0$

but since $y(0)=0$ , we have $a_0=0$ and $a_{2k}=0$ for all $k\ge0$ .

If $n=2k+1$ , then

$k=0\implies n=1\implies a_1=a_1$

$k=1\implies n=3\implies a_3=\dfrac{4(-2)a_1}{3\cdot2}=-\dfrac43a_1$

$k=2\implies n=5\implies a_5=0$

and so $a_{2k+1}=0$ for all $k\ge2$ . If $y'(0)=1$ , we then have $a_1=1$ and $a_3=-\dfrac43$ .

So the ODE has solution

$y(x)=\displaystyle\sum_{k\ge0}(a_{2k}x^{2k}+a_{2k+1}x^{2k+1})\implies\boxed{y(x)=x-\dfrac43x^3}$

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3 years ago

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vovikov84 [41]

Answer:

It will be 11 for each side of the square

Step-by-step explanation:

Hope this Helped

6 0

3 years ago

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