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3 years ago

I was just wondering this is one of my questions in my math books and i needed help

Mathematics

1 answer:

just olya [345]3 years ago

7 0

Answer:

B is true

Step-by-step explanation:

5 is a coefficient of x^0

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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

2 years ago

What is the VALUE of the place underlined? (Do not give the name.) 706

Andreyy89

Answer:

There is no placed underlined in the statement of the problem.

Step-by-step explanation:

But, the 7 is in the hundreds place,

the 0 is in the tens place, and

the 6 is in the ones place. :-))))

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2 years ago

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you are buying cherries at the grocery store if the cost is $4.25 per pound, create a relation that represenr the amount spent ,

Tom [10]

A = 4.25p

this equation says that the amount that you spent (A) is equal to the how many pounds of cherries you buy (p) and you know from the question that each pound costs 4.25

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3 years ago

Need help with this quetsion plz quick

ioda

Line 1 is in q1 and line 2 is q4

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3 years ago

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What is the interception point of <br> y=-1/3x+1<br> and<br> y=2/3x+4

Kazeer [188]

Answer:

(-3,2)

Step-by-step explanation:

For further questions or graphing questions I would recommend the website desmos graphing calculator it really helps !!

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3 years ago

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