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3 years ago

If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208

Mathematics

1 answer:

babymother [125]3 years ago

8 0

I believe your answer is A.

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Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by

Whitepunk [10]

$\displaystyle\iint_R\sin(384x^2+486y^2)\,\mathrm dA$

Notice that Given that $R$ is an ellipse, consider a conversion to polar coordinates:

$\begin{cases}x(r,\theta)=\frac r8\cos\theta\\y(r,\theta)=\frac r9\sin\theta\end{cases}$

The Jacobian for this transformation is

$J=\begin{bmatrix}\frac18\cos\theta&-\frac r8\sin\theta\\\frac19\sin\theta&\frac r9\cos t\end{bmatrix}$

with determinant $\det J=\frac r{72}$

Then the integral in polar coordinates is

$\displaystyle\frac1{72}\int_0^{\pi/2}\int_0^1\sin(6r^2\cos^2t+6r^2\sin^2t)r\,\mathrm dr\,\mathrm d\theta=\int_0^{\pi/2}\int_0^1r\sin(6r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{\pi\sin^23}{864}}$

where you can evaluate the remaining integral by substituting $s=6r^2$ and $\mathrm ds=12r\,\mathrm dr$ .

5 0

3 years ago

24.8 = t + 5.1 what is t?

monitta

Answer:

t = 19.7

Step-by-step explanation:

24.8 = t + 5.1

-5.1 -5.1

----------------------

19.7 = t

4 0

3 years ago

Read 2 more answers

Help....... pls and thank u

grandymaker [24]

Answer:

9.42 cm

Step-by-step explanation:

Formula 2*3.14*r

2*3.14*radius

Find the raidus- 1.5

2*3.14*1.5 = 9.42 cm

5 0

3 years ago

What is 68.797 rounded to the nearest hundredth

yarga [219]

68.80 because 7 is greater than 5

3 0

3 years ago

Which equation is true when n=1.2

enot [183]

Answer:

5+1.2=6.2

Step-by-step explanation:

5 0

3 years ago

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