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3 years ago

Differential equations by separation of variables

1 answer:

5 0

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

xdy/dx = 4y
xdy = 4ydx 
∫ dy/y =∫ 4dx/x 
ln(y) = 4ln(x) + C 
y = e^[4ln(x)] e^C 
y = e^[ln(x)^4] e^C 
y = Cx^4 answer

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LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given vertices of the polygon are (-6,-2),(-5,1),(-1,4),(1,1),(5,3),(1,-2).

We need to find the area of the polygon.

Plot the given vertices and on a coordinate plane and draw the polygon. Divide the polygon in 4 parts as shown below.

Area of rectangle is

$A=length\times width$

Area of triangle is

$A=\dfrac{1}{2}\times base\times height$

Area of each figure is

$A_1=\dfrac{1}{2}\times 1\times 3=1.5$

$A_2=\dfrac{1}{2}\times 6\times 3=9$

$A_3=\dfrac{1}{2}\times 4\times 3=6$

$A_4=6\times 3=18$

Area of polygon is

$A=A_1+A_2+A_3+A_4$

$A=1.5+9+6+18=34.5$

The area of polygon is 34.5 units².

Therefore, the correct option is B.

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Step-by-step explanation:

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