1
3/2
2
4
6
-2
0
2
4
Not defined
-4
-2
2
4
None of these
When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units ,the radius is
½
0
-1/2
-1
None of the above
arcsin(1/4)
arcsin(1/3)
If f’(x) and g’(x) exist and f’(x) > g’(x) for all real x , then the graph of y = f(x) and the graph of y = g(x)
Intersect exactly once
Intersect no more than once
Don’t intersect
Could intersect more than once
Have a common tangent at each point of intersection
If y is a function x such that y’ >0 for all x and y’ <0 for all x, which of the following could be part of the graph of y = f(x)?
The graph of y = 5x4-x5 has a point of inflection at
(0, 0) only
(3, 162) only
(4, 256) only
(0, 0) and (3, 162)
(0, 0) and (4, 256)
At x = 0, which of the following is true of the function f is defined by f(x) = x2+e-2x?
f is increasing
f is decreasing
f is discontinuous
f has relative minimum
f has relative maximum
A region in the plane is bounded by the graph of y = 1/x the x-axis the line x= m, and the line x = 2m, m>0. The area of this region
Is independent of m
Increase as the m increases
Decrease as the m increases
Decreases as m increases when m<1/2; increases as m increases when m >1/2
increases as m increases when m<1/2; decreases as m increases when m >1/2
-1
-1/2
½
1
None of the above
x – 2y = 0
x – y = 0
x = 0
y = 0
y=3
The area of the region bounded by the curve y = e2x, the x-axis the y-axis and the line x = 2 is equal to
2e4-e
2e4-2
If a, b, c, d and e are real numbers and a is not equal to 0, then the polynomial equation ax7+bx5+cx3+dx+e=0 has
Only one real root
At least only one real root
An odd number of nonreal roots
No real roots
No positive real roots
11/4
7/2
8
33/4
16
At t=0 a particle starts at rest and moves along a line in such a way that at a time t its acceleration is 24t2 feet per second per second. Through how many feet does the particle move during the first 2 seconds?
32
48
64
96
192
No n
n even
n odd only
Non zero n only
All n