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3 years ago

PLEASE HELP, ITS URGENT!

Mathematics

1 answer:

Len [333]3 years ago

8 0

Answer:

A. 3y+1

that is the answer

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Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

3 years ago

Please help I need the answer ASAP!

stepladder [879]

Answer:

the second answer choice x greater than or equal to -6

Step-by-step explanation:

because u have to find the where the equation is defined. the range is the set of values that correspond to the domain.

6 0

3 years ago

Help asap!!!!!!!!!!<br><br> Properties of exponents <br><br> Simplify

maksim [4K]

Answer:

C) $4a^{6}b$

Step-by-step explanation:

$\frac{(4b^{3} 3a^{4}b^{2})}{3a^{-2} b^{4}}$ Copy the original equation

$\frac{12a^{6}b^{5}}{3b^{4} }$ Combine like terms

$\frac{12a^{6}b}{3}$ Simplify the b, then divide by 3

$4a^{6}b$

If this answer is correct, please make me Brainliest!

4 0

4 years ago

2: Write out a system of equations that has infinite solutions. Explain why it has infinite

Rasek [7]

Answer:

Below!

Explanation:

A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.

Hoped this helped!

4 0

2 years ago

The mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5

Softa [21]

Step-by-step explanation:

Add all to get 32

Divide by the number of items which is 8

answer =4

4 0

3 years ago

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PLEASE HELP, ITS URGENT!​

PLEASE HELP, ITS URGENT!