Question

In: Computer Science

What is the area of the region bounded by given curves, x^2 + 4x - 2y + 2 = 0 and y = 0?

What is the area of the region bounded by given curves, x^2 + 4x - 2y + 2 = 0 and y = 0?

 

Solutions

Expert Solution

First we need to find the points of intersection of the two curves

 

x2+4x−2y+2=0

⟹x2+4x+2=0

∵y=0 

 

⟹x=−4±16−8−−−−−√2=−4±22–√2=−2±√2

 

2y=x2+4x+2

⟹y=12(x2+4x+2)

 

which above picture is showing that the reagion the area bounded by the given curve.


Given below

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