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irina1246 [14]
3 years ago
14

Please help due tommo

Mathematics
1 answer:
disa [49]3 years ago
8 0

Look kid, this question has been up for 17 hours think its time to let it go......... hoped i helped. ✔verified✔

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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

so

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

8 0
3 years ago
4. A publisher wants to figure out how thick their new book will be. The book has a front
Sever21 [200]

Answer:

1in x 2 + 1 in =3in

2 times 1 is 2 + 1 equals 3

4 0
3 years ago
The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:
Volgvan

The answers to the various part as well as its reasons are given below

<h3 /><h3>Part A:</h3>
  • The x-intercepts shows a zero profit.
  • The maximum value of the graph tells  or depict the maximum profit.
  • The function is one that goes up or increases upward until it reach the vertex and then it falls or decreases after it.
  • This implies that the profit goes up as it reaches the peak at the vertex and it goes down after the vertex up until it gets to zero.
  • The  profits are negative as seen on the left of the first zero and on the right of the second zero.

<h3>Part B:</h3>

An approximate average rate of change of the graph from x = 3 to x = 5, shows the reduction in profit from  3 to 5.

<h3>Part C:</h3>

Based on the above,  the domain is one that is held back or constrained by x = 0 .

We are compelled at x = 6 due to the fact that we have to maneuver a negative profit.

Learn more about quadratic function from

brainly.com/question/25841119

#SPJ1

4 0
2 years ago
Solve the system by substitution 5x+y=-10. 4x-7y=-8
storchak [24]

Answer:

x = -2 and y = 0

Step-by-step explanation:

5x + y = -10

4x - 7y = -8

Rearrange the first equation to equal y.

5x + y = -10

y = -10 - 5x

Replace y in the second equation with the first equation.

4x - 7y = -8

4x - 7(-10 - 5x) = -8

4x - (-70 -35x) = -8

4x + 70 + 35x = -8

Rearrange the equation to find x.

4x + 35x = -8 - 70

39x = -78

x = -2

Now that you know x, use the rearranged first equation to find y.

y = -10 - 5x

y = -10 - 5(-2)

y = -10 + 10

y = 0

8 0
3 years ago
Simplify the expression of (7 – c )(–1)
Ivan
Expand out, this literally just wants you to multiply everything by -1.
so 7*-1 = -7
-c*-1 = c 
thus putting them together to get -7+c which is just c-7 
6 0
3 years ago
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