Asked by Jacob
Find the area of the region bounded by the graphs of the equations y^2=7x and y=mx β, where m is a positive constant.
Answers
Answered by
oobleck
The graphs intersect at (0,0) and (7/m^2,7/m)
so using vertical strips of width dx, the area is
β«[0,7/m^2] (β(7x) - mx) dx = 49/(6m^3)
or, using horizontal strips of width dy,
β«[0,7/m] (y/m - y^2/7) dy = 49/(6m^3)
so using vertical strips of width dx, the area is
β«[0,7/m^2] (β(7x) - mx) dx = 49/(6m^3)
or, using horizontal strips of width dy,
β«[0,7/m] (y/m - y^2/7) dy = 49/(6m^3)
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