how to solve my math homework question?

Posted on 2014-12-02 13:43:00 in Math by STACY

1. Find the area of the region R bounded above by the graph of f(x)=-(x+1)(x-3), below by the x-axis, and on the sides by the vertical lines x=0 and x=3.

Also

2. The quadrilateral T with vertices A=(0,0), B=(0,6), C=(8,10) and D=(8,0) is a trapezoid since the two sides AB and CD are both vertical. It is not hard to see that the area of T is 64 square units.

a. Find an equation for the line passing through the points B and C. Let f(x) be the function whose graph is this line.

b. Use calculus, showing all your work, to verify that the area of the region T bounded above by the graph of f, below by the x-axis, and on the sides by x=0 and x=8 is 64.

(I'm not trying to get anyone to do my homework for me...it's just 2 problems out of a lot and I don't know how to do them.)

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