All categories

3 years ago

Find the domain when f (x) = 5. х -5 -1 9 4 5 8 f(x) -6 -6 | 0

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

Answer:

Pues la función de 5 seria 4 porque si te fijas en la X es (4)

You might be interested in

What is closest to -49 <br><br> a: -48.09<br> b: -48 3/5

Alborosie

I believe it is B.-48 3/5

6 0

2 years ago

Read 2 more answers

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

2 years ago

The product of 7 and a number equals the sum of the same number and How do I write in as a verbal sentence

ki77a [65]

7n = n

If that is incorrect, then i am sorry

3 0

3 years ago

I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after tha

krok68 [10]

Answer:

$3100

Step-by-step explanation:

You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.

7 0

2 years ago

How do I solve this problem <br>8+1/5=

Romashka-Z-Leto [24]

Find the LCD and then combine

Answer: 41/5 or 8.2 in decimal form

5 0

3 years ago

Read 2 more answers