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3 years ago

15

Put the equation 3y-4x=-6 into slope intercept form please!!! EXPLAIN!!!!1!!1!!!!

2 answers:

jeka57 [31]3 years ago

8 0

The answer is y = 4/3x - 2.

Ivenika [448]3 years ago

6 0

The answer would be Y= 4/3 x - 2

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Consider the differential equation: (y^2+2*x)dx+(2*x*y-1)dy = 0. (a) show that the equation is exact by evaluating (\partial m)/

ruslelena [56]

The given ODE

$\underbrace{(y^2+2x)}_M\,\mathrm dx+\underbrace{(2xy-1)}_N\,\mathrm dy=0$

is exact if $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ . It so happens that we have $\frac{\partial M}{\partial y}=2y=\frac{\partial N}{\partial x}$ , so it is indeed exact. For such an ODE, we're looking for a solution of the form $\Psi(x,y)=C$ , for which the differential is

$\mathrm d\Psi=\dfrac{\partial\Psi}{\partial x}\,\mathrm dx+\dfrac{\partial\Psi}{\partial y}\,\mathrm dy=0$

so we have the following system of PDEs that allow us to solve for $\Psi$ :

$\dfrac{\partial\Psi}{\partial x}=M=y^2+2x$

$\dfrac{\partial\Psi}{\partial y}=N=2xy-1$

In the first PDE, we can integrate both sides with respect to $x$ and recover $\Psi$ :

$\displaystyle\int\frac{\partial\Psi}{\partial x}\,\mathrm dx=\int(y^2+2x)\,\mathrm dx$

$\implies\Psi(x,y)=xy^2+x^2+f(y)$

Then differentiating this with respect to $y$ returns $N$ :

$\dfrac{\partial\Psi}{\partial y}=2xy+\dfrac{\mathrm df}{\mathrm dy}=2xy-1$

$\implies\dfrac{\mathrm df}{\mathrm dy}=-1$

$\implies f(y)=-y+C$

So the general solution to the ODE is

$\Psi(x,y)=xy^2+x^2-y+C=C$

or simply

$xy^2+x^2-y=C$

4 0

3 years ago

Find the surface area <br> No link please and thank you

Eddi Din [679]

Answer:

1200 in^2

Step-by-step explanation:

SA = 2B + Ph

SA = 2(8 * 15 / 2) + 40(27)

SA = 1200

5 0

3 years ago

Can some one help me please

Vinvika [58]

add all assets then add all liabilities

if assets is higher she has a positive net worth of the difference

if liabilities is higher she has a negative net worth of the difference

3 0

3 years ago

Read 2 more answers

Which system of equations is represented in the graph?

KATRIN_1 [288]

The answer is option A.

4 0

3 years ago

Determine if 0.669429565254154 is rational or irrational and give a reason for your answer

raketka [301]

Answer:

Rational

Step-by-step explanation:

The reason why this number is rational is because this number terminates.

7 0

3 years ago