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denis-greek [22]
3 years ago
15

What is the value of -d when d=-2?

Mathematics
2 answers:
fenix001 [56]3 years ago
5 0
The answer would be a positive 2 

In-s [12.5K]3 years ago
4 0
So, we know that D=-2 so -D=2
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Sin(x2 y2 da r , where r is the region in the first quadrant between the circles with center the origin and radii 1 and 5
Rudik [331]
I assume there's a plus sign missing above...

Convert to polar coordinates, using

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

Then the Jacobian is

\dfrac{\partial(x,y)}{\partial(r,\theta)}=\begin{vmatrix}x_r&y_r\\x_\theta&y_\theta\end{vmatrix}=\begin{vmatrix}\cos\theta&\sin\theta\\r\sin\theta&-r\cos\theta\end{vmatrix}=-r

Then

\mathrm dA=\mathrm dx\,\mathrm dy=|-r|\,\mathrm dr\,\mathrm d\theta=r\,\mathrm dr\,\mathrm d\theta

so the integral can be written as

\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_1^5r\sin(r^2)\,\mathrm dr\,\mathrm d\theta

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\displaystyle\frac12\int_0^{\pi/2}\int_1^{25}\sin s\,\mathrm ds\,\mathrm d\theta=-\frac12(\cos25-\cos1)\int_0^{\pi/2}\mathrm d\theta=\frac\pi4(\cos1-\cos25)
3 0
3 years ago
Noah finds some nickels and pennies in his change purse. How many coins does he
zzz [600]

He has 100 + 120 = 220 coins in his purse.

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2 years ago
Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each
zheka24 [161]

ANSWER

$16,384

EXPLANATION

From the question we have that,

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.

This forms a geometric sequence,

1,2,4,...

The first term of this sequence is

a = 1

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The general term of a geometric sequence is given by the formula:

f(n) = a {r}^{n - 1}

To find the 15th term, we plug in a=1, r=2 and n=15.

f(15) = 1 {(2)}^{15 - 1}

f(15) =  {2}^{14}

f(15) = 16384

The amount he will save on the 15th day is $16,384

4 0
3 years ago
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3241004551 [841]

Answer:sorry need some points for help

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Step-by-step explanation:

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Step-by-step explanation:

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