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2 years ago

F(x) = sqrt(- 2x) Determine for each value whether it is in the domain of f or not.

Mathematics

1 answer:

Gnoma [55]2 years ago

4 0

Answer:

only -2 is in the domain

Step-by-step explanation:

For negative values under the sqrt, there is no real answer, hence

-2x ≥ 0

only for x=-2 this is the case.

The domain represents all the valid input values for x.

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Anna [14]

Answer:

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Step-by-step explanation:

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2 years ago

Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x , with ini

Svetach [21]

For this case we have the following difference equation:
$dy / dx = 3xy
$
Applying separable variables we have:
$dy / y = 3xdx
$
Integrating both sides we have:
$\int\ ({1/y}) \, dy = \int\ {3x} \, dx$
$ln (y) = (3/2) x ^ 2 + C
$
applying exponential to both sides:
$exp (ln (y)) = exp ((3/2) x ^ 2 + C)

 y = C * exp ((3/2) x ^ 2)$
For y (1) = 1 we have:
$C = 1 / (exp ((3/2) * 1 ^ 2))

C = 0.2$
Thus, the particular solution is:
$y = 0.2 * exp ((3/2) x ^ 2)
$
Whose domain is all real.
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers

6 0

3 years ago

How do you solve 2y-7y=5

scZoUnD [109]

Answer:

$y=-1$

Step-by-step explanation:

1. Combine like terms

2y-7y = -5y

-5y=5

2. Divide by -5 and the answer is $y=-1$

6 0

3 years ago

Find the perimeter of a square with a side length of 10 meters

Vlad [161]

side length of square=10

Now,

perimeter of square =4l

=4×10

=40m

6 0

2 years ago

Sin(3pi over 4) = _____

OlgaM077 [116]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2790456

______________

$\mathsf{sin\!\left(\dfrac{3\pi}{4}\right)}\\\\\\ =\mathsf{sin\!\left(\dfrac{3\cdot 180^\circ}{4}\right)}\\\\\\ =\mathsf{sin(135^\circ)}\\\\ =\mathsf{sin(180^\circ-135^\circ)}$

$=\mathsf{sin(45^\circ)}\\\\ =\mathsf{\dfrac{\sqrt{2}}{2}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps.=)

Tags: <em>sine sin common angles trig trigonometry </em>

8 0

3 years ago