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3 years ago

5

How do I solve this and what is the answer?

1 answer:

DanielleElmas [232]3 years ago

8 0

Answer:

You use PEMDAS.

Step-by-step explanation:

If you dont know what that is, its the process used for long multistep equations like that : Parenthesis, Exponents, Multiplication, Division, Addition, then Subtraction. You solve all of those in order (if they are included in the problem). So for this you would solve one side of the inequality sign first using this order, then the other side and BAM! you've solved this problem.

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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

72.6 meters in 11 seconds

ira [324]

This would simplify to 6.60 meters/second.

8 0

2 years ago

Read 2 more answers

Do all composite numbers have a 2 in the ones place?

marshall27 [118]

Answer:

No!

Step-by-step explanation:

Prime is anything that cannot be divided into but by one and itself, therefore all even numbers are Composite.

8 0

3 years ago

Order pair of x=y+2 and 2y=x-1

EastWind [94]

<span>x=y+2
2y=x-1
substitute </span>x=y+2 into 2y=x-1

2y=x-1
2y=y+2 -1
2y - y = 1
y = 1

<span>x=y+2
</span><span>x=1+2
x=3

answer
x = 3 and y = 1</span>

5 0

3 years ago

Suppose a bunny's second hop is 10% higher than her first hop. classify the statement below as true or false, correct it.

denis-greek [22]

The answer is a because the original is 100% of their jump. Then you would add the extra 10% so it would equal 110%

Please thank me

7 0

2 years ago