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2 years ago

Help me plz i want help

Mathematics

1 answer:

VMariaS [17]2 years ago

3 0

Answer:

the one on the upper left with the triangular form

Step-by-step explanation:

all the others only represent one of the possibilities

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Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines

hichkok12 [17]

$\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA$

$\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv$

where $J$ is the Jacobian matrix for the transformation,

$J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15$

We have

$9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5$

so that the integral is

$\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}$

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3 years ago

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lorasvet [3.4K]

Answer:937.12

Step-by-step explanation:

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2 years ago

A circle has a radius of 3.5. What is the circumference? Use 3.14 for Pi.

VikaD [51]

Answer:21.98

Step-by-step explanation:

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2 years ago

- Todd uses 21 white tiles and some black tiles to make a mosaic. The mosaic has a total area of 144 square centimeters. Each

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Answer:

Step-by-step explanation:

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so 27 black tiles

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2 years ago

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3 years ago