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larisa86 [58]
3 years ago
7

0.0098 to 3 decimal places

Mathematics
1 answer:
pogonyaev3 years ago
5 0
0.009 i think this is the answer
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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}

5 0
4 years ago
HELP PLZ THIS IS DUE TODAY
STatiana [176]

Answer:

A.−3x^4+2x^2−4x

B.4p^7−10p^5+2p^4

Step-by-step explanation:

A.x(−3x^3+2x−4) then simplify −3x^4+2x^2−4x

B.  -2p^3(-2p^4+5p^2-p) then simplify 4p^7−10p^5+2p^4

3 0
3 years ago
Using a simulator at space​ camp, you practice landing your individual spaceship on landing platforms that have different shapes
Mila [183]

The Area of the platform is 33m²

Step-by-step explanation:

As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m

Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m

Since the platform is five-sided, the figure can be broken down into constituting parts

  1. Parallelogram ║ABCE
  2. Δ DCE

Are of the figure= Area of ║ABCE+ area Δ DCE

Area of ║ABCE= breadth * height

= 6*4 ⇒24m ²

Area Δ DCE= ½*(base)(height)

Putting the value of base is 6m and height as 3m

Area Δ DCE= ½*6*3

=9m ²

Total area= 24+9= 33m ²

3 0
3 years ago
Need help asap! Please and thank you
FromTheMoon [43]

Answer:

1,2,5 No 3,4 Yes

Step-by-step explanation:

x(x^2-5) No

x(x^2-25x) No

x(x^2-25) Yes

x(x+5)(x-5) Yes

x(x-5)^2 No

3 0
3 years ago
Read 2 more answers
Please help <br> Question: 6b = 18<br> Answer: ?
ratelena [41]

Answer:

6b=18

b=18/6

b=3

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3 0
3 years ago
Read 2 more answers
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