Asked by Jazmine

Please i need help with this.

Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0
Answered by Steve
not sure what <u>y0...5-4x</u> means

anyway, if all you have is two lines, the area is unbounded.

If the limits of integration are 0 to 5, and the lines are

y = -4x
2x-y-4 = 0

then the lines are

y1 = -4x
y2 = 2x-4

Now think of the area as a bunch of extremely thin rectangles of width dx. Their height is the distance between the two lines, so the area is

∫[0,5] (y2-y1) dx

Looking at those two lines, I suspect I have gotten the functions wrong, but you can fix that and then apply the logic.
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