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Consider the graph of y=f(x)=1−x2  and a typical point P on the graph in the first quadrant....

Consider the graph of y=f(x)=1−x2  and a typical point P on the graph in the first quadrant. The tangent line to the graph at P will determine a right triangle in the first quadrant, as pictured below.

a) Find the formula for a function A(x) that computes the area of the triangle through the point P=(x,y)  

b) Find the point P so that the area of the triangle is as small as possible: P =()

Math   Calculus   
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