Last edited by Marg7; January 5th 2010 at 02:35 AM.
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Originally Posted by Marg7 Consider the curve y^2=4+x and chord AB joining points A(-4, 0) and B(0,2) on the curve. start by making a sketch of the parabola and chord ...
1. Find the x- and y-coordinates of the point on the curve where the tangent line is parallel to chord AB. set the slope of AB = derivative of the curve, solve.
2. Find the area of the region R enclosed by the curve and chord AB. find the equation of line AB, y = mx+b
3. Find the volume of the solid generated when the region R, defined in part 2., is revolved about the x-axis. method of washers ... ...
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