3 years ago

Pay

Mathematics

1 answer:

Ber [7]3 years ago

3 0

The musicians straight time pay is $107.75

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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

$8+\ln9=C$

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

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3 years ago

What is the y-intercept of (5,8) and (12,36)

Oduvanchick [21]

Answer:

The y intercept is (0,-12)

Step-by-step explanation:

You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.

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Will BRAINLY! I need help with this proof.

vlada-n [284]

What are you trying to find? I’m completely lost

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In the circle below, suppose m WXU<br> 216° and m XWV= 137º. Find the following.

sladkih [1.3K]

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incompleted question

Step-by-step explanation:

......?

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Please help me it's due TOMORROW !!1!1!

Andreas93 [3]

The actual answer would be 1.88 per box, since 47/25= 1.88

I’m guessing the assistant misplaced a decimal, making it 18.80

Answer: Misplaced decimal
Actual Amount: 1.88

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