Answer:
A
Step-by-step explanation:
When you multiply 8 by 2 you get (16) which brings us to A! B is wrong cause it would have to be multiplied by triple instead of 2. C is wrong cause the question is (the metal) but the metal has nothing to do with 48. D (160 ) come on let's be real here. Which brings us to our answer (A)!
Take
![\begin{cases}u=x-y\\v=x+y\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Du%3Dx-y%5C%5Cv%3Dx%2By%5Cend%7Bcases%7D)
so that
![\begin{cases}\mathbf x(u,v)=\dfrac{u+v}2\\\\\mathbf y(u,v)=\dfrac{-u+v}2\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%5Cmathbf%20x%28u%2Cv%29%3D%5Cdfrac%7Bu%2Bv%7D2%5C%5C%5C%5C%5Cmathbf%20y%28u%2Cv%29%3D%5Cdfrac%7B-u%2Bv%7D2%5Cend%7Bcases%7D)
and the Jacobian determinant is
![|\det J|=\left|\begin{vmatrix}\mathbf x_u&\mathbf x_v\\\mathbf y_u&\mathbf y_v\end{vmatrix}\right|=\dfrac12](https://tex.z-dn.net/?f=%7C%5Cdet%20J%7C%3D%5Cleft%7C%5Cbegin%7Bvmatrix%7D%5Cmathbf%20x_u%26%5Cmathbf%20x_v%5C%5C%5Cmathbf%20y_u%26%5Cmathbf%20y_v%5Cend%7Bvmatrix%7D%5Cright%7C%3D%5Cdfrac12)
So the integral is (NOTE: I'm guessing on what the integrand is supposed to be)
![\displaystyle\iint_R7xye^{x^2-y^2}\,\mathrm dA=\frac78\int_{u=0}^{u=10}\int_{v=0}^{v=4}e^{uv}(v^2-u^2)\,\mathrm dv\,\mathrm du](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ciint_R7xye%5E%7Bx%5E2-y%5E2%7D%5C%2C%5Cmathrm%20dA%3D%5Cfrac78%5Cint_%7Bu%3D0%7D%5E%7Bu%3D10%7D%5Cint_%7Bv%3D0%7D%5E%7Bv%3D4%7De%5E%7Buv%7D%28v%5E2-u%5E2%29%5C%2C%5Cmathrm%20dv%5C%2C%5Cmathrm%20du)
Answer:
1.09
Step-by-step explanation:
<u>Order of operations</u>
<u>(</u>7 + 5) = 12
19 *4 = 76
<u>Simplify</u>
12 + 76 = 88
96/88
<u>Solve</u>
96/88 = 1.09
Answer:
2:7
Step-by-step explanation:
12:42
6:21
2:7