Barrons AP Calculus

(Marvins-Underground-K-12) #1












For y   =   2,   .  Note    that        is  always  negative.

(B) If  S   represents  the square  of  the distance    from    (3, 0)  to  a   point   (x, y)
on the curve, then S = (3 − x)^2 + y^2 = (3 − x)^2 + (x^2 − 1). Setting
yields the minimum distance at .

(D)

(D) See the figure. Since   the area,   A,  of  the ring    equals   ,

and .

It  can be  verified    that    x   =   2   produces    the maximum area.
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