3 years ago

Which expression is equivalent to this polynomial expression?

Mathematics

1 answer:

alukav5142 [94]3 years ago

4 0

Answer:

Step-by-step explanation:

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Evaluate the integral by changing to polar coordinatesye^x dA, where R is in the first quadrant enclosed by the circle x^2+y^2=2

34kurt

$\displaystyle\iint_Rye^x\,\mathrm dA=\int_{\theta=0}^{\theta=\pi/2}\int_{r=0}^{r=5}r^2\sin\theta e^{r\cos\theta}\,\mathrm dr\,\mathrm d\theta$

which follows from the usual change of coordinates via

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

and Jacobian determinant

$|\det J|=\left|\begin{vmatrix}\mathbf x_r&\mathbf x_\theta\\\mathbf y_r&\mathbf y_\theta\end{vmatrix}\right|=|r|$

Swap the order, so that the integral is

$\displaystyle\int_{r=0}^{r=5}\int_{\theta=0}^{\theta=\pi/2}r^2\sin\theta e^{r\cos\theta}\,\mathrm d\theta\,\mathrm dr$

and now let $\sigma=r\cos\theta$ , so that $\mathrm d\sigma=-r\sin\theta$ . Now, you have

$\displaystyle\int_{r=0}^{r=5}\int_{\sigma=0}^{\sigma=r}re^\sigma\,\mathrm d\sigma\,\mathrm dr=\int_{r=0}^{r=5}r(e^r-1)\,\mathrm dr=4e^5-\dfrac{23}2$

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3 years ago

Points B(-4,4) and D (10,4) lie on circle G. The line segment connecting the two points is a diameter of the circle.

Gnesinka [82]

A Bc I just did it and got it right

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3 years ago

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What is X in this situation? I'm thinking that you could get X, via vertical angles, but I'm not too sure.

attashe74 [19]

Use alternate interior angles.
The angle to the left of x is 32
The angle to the right of x is 68
Since the three angles(32, x, and 68) form a straight line, they are supplementary.
32+x+68=180
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3 years ago

A ladybug length measures 2cm express this measurement in meters include a equation with an exponent in your explanation

Allushta [10]

Your face is the answer

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4 years ago

Find the value of x. PLEASE HELP!!!!

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,

we know that :

49 + (1+5x) = 90

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3 years ago