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Soloha48 [4]
3 years ago
13

Question 2 (1 point)

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

55.734 mph

Step-by-step explanation:

Let's call the wind speed x and the time of flight t.

Then, we can write the following equation, knowing that the distance is equal speed times time of flight:

910 = (350+x) * t

660 = (350-x) * t

If we isolate t in both equations and compare its value, we have that:

910 / (350+x) = 660 / (350-x)

(350+x)/(350-x) = 910/660

350 + x = 1.3788 * (350-x)

350 + x = 482.58 - 1.3788x

2.3788x = 132.58

x = 55.734 mph

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Step-by-step explanation:

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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

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

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

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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

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

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