Question

Find the area of the region between the following curves. If necessary, break the region into subregions first.\ y = 20 - x, y = \sqrt{x}, and y = 2\ Write the exact answer.\ Area:

          Find the area of the region between the following curves. If necessary, break the region into subregions first.\
y = 20 - x, y = \sqrt{x}, and y = 2\
Write the exact answer.\
Area:
        
Find the area of the region between the following curves. If necessary, break the region into subregions first.y = 20 - x, y = √(x), and y = 2Write the exact answer.Area:

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the area of the region between the following curves. If necessary, break the region into subregions first. y= 20 -x,y= vx,and y=2 Write the exact answer. Area:
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Transcript

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00:01 So this question is testing you on your ability to find the area of the region between two curves.
00:08 So the two functions given to us are f of x equals x times 2 minus x and y equals 2 from x equals 0 to x equals 2.
00:24 So our first step is just trying to visualize the graph and see which equation is going to be.
00:32 On top and which graph is going to be on the bottom.
00:36 So if you visualize this graph right here, y equals 2, just call this 1 in 2, it's going to be a horizontal line like that, and then x times 2 minus x, it's going to be a parabola, just something like this...
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