Barrons AP Calculus

27.

(A)

(B)

(C)

(D)

(E)

28.

(A)

(B)

(C)

(D)

(E)

29.

(A)

(B)

(C)

(D)

(E)

30.

(A)

(B)

(C)

(D)

BC ONLY

In  Questions   27–30,  R   =   3   cos  t, 2   sin  t  is  the (position)  vector  x,  y   from

the origin  to  a   moving  point   P(x,    y)  at  time    t.

A   single  equation    in  x   and y   for the path    of  the point   is

x^2 + y^2   =   13

9 x^2 +     4 y^2   =   36

2 x^2 +     3 y^2   =   13

4 x^2 +     9 y^2   =   1

4 x^2 +     9 y^2   =   36

When    t   =   3,  the speed   of  the particle    is

2

3

π

The magnitude   of  the acceleration    when    t   =   3   is

2

3

π

At  the point   where   t   =       ,   the slope   of  the curve   along   which   the particle

moves   is