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3 years ago

7×10+(1×1/10)+(5×1/1000)

Mathematics

2 answers:

marissa [1.9K]3 years ago

8 0

5,080 but that's probably wrong you can use a calculater

zavuch27 [327]3 years ago

5 0

If you use order of operations the answer is: 150070

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2 years ago

Sketch the domain D bounded by y = x^2, y = (1/2)x^2, and y=6x. Use a change of variables with the map x = uv, y = u^2 (for u ?

cluponka [151]

Under the given transformation, the Jacobian and its determinant are

$\begin{cases}x=uv\\y=u^2\end{cases}\implies J=\begin{bmatrix}v&u\\2u&0\end{bmatrix}\implies|\det J|=2u^2$

so that

$\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\iint_{D'}\frac{2u^2}{u^2}\,\mathrm du\,\mathrm dv=2\iint_{D'}\mathrm du\,\mathrm dv$

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$\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\left\{\int_0^6\int_{x^2/2}^{x^2}+\int_6^{12}\int_{x^2/2}^{6x}\right\}\frac{\mathrm dx\,\mathrm dy}y$

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$\displaystyle2\iint_{D'}\mathrm du\,\mathrm dv=2\int_1^{\sqrt2}\int_0^{6v}\mathrm du\,\mathrm dv=\boxed6$

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2 years ago

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babunello [35]

my answer is no ,yes ,no

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if your answer is "No," how much more lacquer does she need? if your answer is "yes," how much lacquer will she have left over?AND if it is also no ,yes , no...show your work to justify your answer.

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