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Dennis_Churaev [7]
3 years ago
6

Secret Decimal Number Riddle I have 2 ones 22 hundredths 12 tenths What number am I?

Mathematics
1 answer:
Ann [662]3 years ago
6 0
3.22 is the correct answer
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The table below shows the distribution of students by age in a high school
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For the function y=3x^2-12x+4 , what’s the mirroring point for the y-intercept? (x,y) form please
Slav-nsk [51]

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the you run y=3

Step-by-step explanation:

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3 years ago
Can somebody please explain and answer this for me? I really don't get it.
Tcecarenko [31]

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Step-by-step explanation:

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(-\frac{1}{3} )^5 is equal to  (-\frac{1}{3}) × (-\frac{1}{3}) × (-\frac{1}{3}) × (-\frac{1}{3}) × (-\frac{1}{3})

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3 0
3 years ago
Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2
LUCKY_DIMON [66]
Make a change of coordinates:

u(x,y)=xy
v(x,y)=\dfrac xy

The Jacobian for this transformation is

\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}

and has a determinant of

\det\mathbf J=-\dfrac{2x}y

Note that we need to use the Jacobian in the other direction; that is, we've computed

\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}

but we need the Jacobian determinant for the reverse transformation (from (x,y) to (u,v). To do this, notice that

\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}

we need to take the reciprocal of the Jacobian above.

The integral then changes to

\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv
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3 years ago
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