Cracking The Ap Calculus ab Exam 2018

The  width   of  each    rectangle   is  found   by  taking  the     difference  between     the     endpoints   and

dividing    by  n.  Here,   the width   of  each    rectangle   is      =   .

We  find    the heights of  the rectangles  by  evaluating  y   =   2x  −   x^2     at  the appropriate endpoints.

y(1)    =   2(1)    −   (1)^2   =   1;      =    ;      =       and 

= .

Therefore,  the area    is      =   .

2.

First,  let’s   draw    a   picture.