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2 years ago

A movie theather sells 10 tickets at a time online what is the domain of this graph

Mathematics

1 answer:

VladimirAG [237]2 years ago

4 0

uve prob moved bc its apex but i think either a or c

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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

2 years ago

I need help finding surface area

Papessa [141]

Use the formula A= abch
a= side
b= side
c= side
h= side

6 0

2 years ago

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What is the solution to the equation 3(x + 2)= 2(x +5)?

Vesnalui [34]

Answer: MAHTPAPA.COM

Step-by-step explanation:

7 0

3 years ago

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If you know that 4 of an item costs a certain amount, and you want to find out how much one costs, which operation will you use?

Natalija [7]

Answer:

The answer would be division (B)

Step-by-step explanation:

4x equals the total amount

x equals the cost of one item

Therefore you'd divide total cost by 4 and that would find the cost of one item

6 0

2 years ago

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Are these integers please help

dolphi86 [110]

Answer:

63/9 = 7 -> Yes

-94 -> Yes

30/6 = 5 -> Yes

-16/3 ~ -5,33 -> Nope

-29,86 -> Nope

Step-by-step explanation:

Integers are whole Numbers.

For example 1,2,3,4,5...

The numbers between numbers are rational numbers.

Fir example:

1,2 ( between 1 and 2)

3,8 (between 3 and 4)

2,6 (between 2 and 3)

5 0

3 years ago

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