Barrons AP Calculus

AB/BC 1.

(b)

(c)

(d)

AB 2/BC 4.

(b)

Part A

(a) 

.

.

To  work    with    g(x)    =   f   −^1 (x),    interchange x   and y:

Now .

(a) The rectangular slices  have    base    y,  height  5y, and thickness

along   the x-axis:

The disks   have    radius  x   and thickness   along   the y-axis:

Now we  solve   for x   in  terms   of  y:

Then    arcsin   ,  which   gives   us  .