Barrons AP Calculus

AB/BC 1.

(b)

(c)

(d)

AB 2.

Part A

(a)     (Review Chapter 3)

After   15  minutes the rate    at  which   grain   is  leaking is  slowing

down    at  the rate    of  one half    a   cubic   foot    per minute. (Review

Chapter 3)

Let h   =   the height  of  the cone    and r   =   its radius. The cone’s

diameter    is  given   to  be  5h, so   ,  and the cone’s  volume,

Then

At  t   =   10  the table   shows    ,  and it  is  given   that    h   =   3;

thus:

(Review Chapter 4)

The total   amount  of  grain   that    leaked  out of  the elevator    hopper

while   the repairs were    underway    was approximately   102 ft^3.

(Review Chapter 6)

Graph   y   =   (x  =   ex) sin (x^2 )  in  [1,3]   ×   [−15,20].   Note    that    y   represents

velocity    v   and x   represents  time    t.