# Math Help - [SOLVED] Calculus Help

1. m

2. 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

$\textcolor{red}{A = \int_{-4}^0 (upper \, curve) - (mx+b) \, dx}$

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 ...

$\textcolor{red}{V = \pi \int_{-4}^0 (upper \, curve)^2 - (mx+b)^2 \, dx}$
...