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find the area of the region bounded bye the graphs of these equations;

0 votes

y=2-x^2 and y=x? 

 

 

asked Nov 18, 2014 in PRECALCULUS by anonymous

1 Answer

0 votes

The curve equation y = 2 - x2 and y = x

Equate the y forms.

2 - x2  = x

x2 + x - 2 = 0

x2 + 2x - x - 2 = 0

x(x + 2) - 1(x + 2) = 0

(x + 2)(x - 1) = 0

x + 2 = 0 and x - 1 = 0

x = - 2 and x = 1

So the limits are - 2 and 1.

Formula for the area image

Where f(x) ≥ g(x)

f(x) = 2 - x2, g(x) = x

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Area is 4.5 square units.

answered Nov 18, 2014 by david Expert
edited Nov 18, 2014 by david

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