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Bas_tet [7]
3 years ago
15

5x + 7y = -29, y = x + 1

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

Answer:d

Step-by-step explanation:

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Question:4x²-9 <br>answer:​
statuscvo [17]

Step-by-step explanation:

4x^2-9

=(2x)^2 -3^2

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Hope this helps you.

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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

where D' is the region D transformed into the u-v plane. The remaining integral is the twice the area of D'.

Now, the integral over D is

\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

but through the given transformation, the boundary of D' is the set of equations,

\begin{array}{l}y=x^2\implies u^2=u^2v^2\implies v^2=1\implies v=\pm1\\y=\frac{x^2}2\implies u^2=\frac{u^2v^2}2\implies v^2=2\implies v=\pm\sqrt2\\y=6x\implies u^2=6uv\implies u=6v\end{array}

We require that u>0, and the last equation tells us that we would also need v>0. This means 1\le v\le\sqrt2 and 0, so that the integral over D' is

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

4 0
3 years ago
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to
kozerog [31]

Step-by-step explanation:

365.25days

1day=1440min

365.25days= 365.25×1440

=525960min.

as i guess.

8 0
2 years ago
What is the equation of the midline for the function f(x) ?<br> f(x)=3cos(x)−2.5
fredd [130]
Y= -2.5
the midline is basically the line where the distance is the same to the line from the max and the min 
7 0
3 years ago
Read 2 more answers
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