What is the solution of the equation? w

peanuts in bulk bins at the grocery store costs $0.30 per pound how much would 2 pounds of peanuts cost

Helen [10]

$0.60 cents would be the cost of 2 lbs

8 0

3 years ago

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

2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student lik

tigry1 [53]

Answer:

17

Step-by-step explanation:

you said that in the problem lol

5 0

2 years ago

Read 2 more answers

Find all sets of four consecutive integers whose sum is between 95 and 105

Nat2105 [25]

Hello,

Let n-2,n-1,n,n+1 the foru numbers
s=n-2+n-1+n+n+1=4n-2

95<=4n-2<=105
==>97<=7n<=107
==>24.25<=n<=26.75
==>25<=n<=26
if n=25 s=98
if n=26 s=102

7 0

3 years ago

A box of pencils costs $10.The total cost (c) as a function of the number of boxes (b) is expressed as c = f(b) = 10b. What is t

Wittaler [7]

Answer:

Domain (b) = {0, 1, 2, 3, 4....}

Set of all whole numbers

Step-by-step explanation:

Given: A box of pencils costs $10.

Total cost (c) = 10b, where "b" is the number of boxes.

Here c represents the range which is dependent variable and b represents the number of boxes which is independent variable.

For instance, if you buy 10 boxes of pencils, you need to pay = 10(10) = $100

Here we replace b with the number of boxes.

The number of boxes cannot be negative. It will star from 0,1, 2, 3....

Therefore, domain (b) = {0, 1, 2, 3, 4....} which is set of whole numbers.

8 0

3 years ago

Read 2 more answers

What is the solution of the equation? w - 2 = -3