x<2
0 x>-1
x>3
-2
11/9
11/18
11/3
33/18
-14
-2
12
16
None of these
The point on the curve x2-2y = 0 that is the nearest point ( 0,-4) occurs has the y coordinate equal to
½
0
-1/2
-1
None of the above
-tan x
-cot x-1
Cot x-1
Tan x
Csc x
-1
-9/2
9/2
1
None of the above
1
If f(x) = x3 + 3x2 +4x +5 and g(x) = sinx, then g’(f(0)) =
4 cos4
0
1
4cos5
5
- sin2x
1 –2cos2x
Cos2 x
1-sin2x
2-4sin2x
If the line 3x - 4y = 0 is tangent in the first quadrant to the curve y = x3 + k , then k is
½
¼
0
-1/8
-1/2
If f (x) = 2x3 + Ax2 + Bx - 5 and if f (2) = 3 and f (-2) = -37, what is the value of A+ B?
-6
-3
-1
2
It cannot be determined from the information given.
If f’’(x) – f’(x) -6f(x) = 0,f’(0)= -4 and f(0) = -2 then f(1) =
e3+e-2
0
e3
2e-2
4e4(x-1)
3 + x3
4 -xe4(x-1)
2x2 +2
If cos(xy) = x , then dy /dx =
-2
3/25
25/3
-1/2
0
x – 4y = 0
x – y = 0
x = 0
y = 0
x+4y=0
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 = 3m, m>0. The area of this region
Is independent of m
Increases as the m increases
Decreases as the m increases
Decreases as m increases when m<1/3; increases as m increases when m >1/3
increases as m increases when m<1/3; decreases as m increases when m >1/3
2
2.03
2.096
1.94
1.24
1