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3 years ago

Is 5x+y=7 linear or nonlinear

Mathematics

1 answer:

user100 [1]3 years ago

8 0

Answer:

Linear

Step-by-step explanation:

This can be written in slope intercept form (y=-5x+7) and there are no exponents.

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True or false 398+9 = 400+8

defon

Answer: False

Step-by-step explanation:

398 + 9 = 407

400 + 8 = 408

If the equation was 398 + 10 then yes it will be equal to 400 + 8

4 0

3 years ago

Show that (2xy3 + cos x)dx + (3x2 y2 − sin y)dy = 0 is exact, and find the solution. Find c if y(0) = π

Licemer1 [7]

We're looking for a solution of the form $F(x,y)=C$ . By the chain rule, this solution should have total differential

$\mathrm dF=\dfrac{\partial F}{\partial x}\,\mathrm dx+\dfrac{\partial F}{\partial y}\,\mathrm dy=0$

and the equation is exact if the mixed second-order partial derivatives of $F$ are equal, i.e. $\frac{\partial^2F}{\partial x\partial y}=\dfrac{\partial^2F}{\partial y\partial x}$ .

The given ODE is exact, since

$\dfrac{\partial(2xy^3+\cos x)}{\partial y}=6xy^2$

$\dfrac{\partial(3x^2y^2-\sin y)}{\partial x}=6xy^2$

Then

$\dfrac{\partial F}{\partial x}=2xy^3+\cos x\implies F(x,y)=x^2y^3+\sin x+f(y)$

$\dfrac{\partial F}{\partial y}=3x^2y^2-\sin y=3x^2y^2+\dfrac{\mathrm df}{\mathrm dy}$

$\dfrac{\mathrm df}{\mathrm dy}=-\sin y\implies f(y)=\cos y+C$

$\implies x^2y^3+\sin x+\cos y=C$

With $y(0)=\pi$ , we get

$\cos\pi=C\implies C=-1$

$\implies\boxed{x^2y^3+\sin x+\cos y=-1}$

6 0

3 years ago

ANSWER PLZ QUICK AND FAST

Lemur [1.5K]

In my opinion, I would say that it was a concave, because if you look up the word concave it is, "having an outline or surface that curves inward like the interior of a circle or sphere."

I hope this helps, and if you need any additional help as to what a concave is, please refer to the link.

Cited sources

https://www.google.com/search?client=opera&q=what+is+a+concave&sourceid=opera&ie=UTF-8&oe=UTF-8

6 0

4 years ago

In a football drill, Ron is standing 30 yards directly east of John, and Bill is standing 40 yards directly north of John. If th

kykrilka [37]

So essentially these people have made a right triangle. The hypotenuse is going to be the distance from Bill to Ron.

Let's abbreviate B for Bill, J for John, and R for Ron.

J -> R = 30 yds
J -> B = 40 yds

These two lengths are the legs of the right triangle.

B -> R = hypotenuse of the right triangle.

Let's find the distance from B to R using the Pythagorean Theorem:

$30^{2} + 40^{2} = c^{2}$
$900+1,600= c^{2}$
$2,500= c^{2}$
$\sqrt{2500} = \sqrt{c^{2} }$
$c=50$

We now know that the hypotenuse is 50 yds.

The question wants to know the distance from R -> B (50 yds) and B -> J (40 yds). Let's add those together to get the total distance the football traveled:

$50+40=90 yds$

The football traveled 90 yds total.

4 0

3 years ago

Read 2 more answers

Malcom sells corn at the Farmer's market. The note pad shows Malcolm's profits for each day of the weekend. Malcolm wants to kno

adell [148]

Answer:

Step-by-step explanation:

Since there are 2 negative signs, they cancel each other out, so it becomes a plus sign. That means 7 + 4 equals 11. Please mark me brainliest and I hope this helped!

8 0

4 years ago

Read 2 more answers