2
1.16
1.28
1.12
1.04
( x sec2 x dx =
x tan x + C
sec2x + 2 sec2 x tan x + C
x tan x – ln |cos x| + C
x tan x + ln |cos x| + C
The length of the curve determined by the equations x = t2 and y = t from t = 0 to t = 4 is
A point moves in a straight line so that its distance at time t from a fixed point of the line is 4t2 -5t. What is the total distance covered by the point between 3rd and 6th seconds?
13
43
53
23
93
Consider the curve in the xy-plane represented by x = et and y = te-t for t ( 0. The slope of the line tangent to the curve at the point where x = 3 is
2.075
0.482
–0. 037
–0.066
–0. 005
1/4
3/4
1/2
-3/4
-1/4
The number of bacteria in a culture is growing at a rate of 6000e3t/4 per unit of time t. At t = 0, the number of bacteria present was 8000. Find the number present at t = 4.
7500e2
2000e2
6000e5
1400 e2
8000e3
None of the above
None of the above
28
20
16
24
32
None of the above
17/2
5
15/2
nonexistent
2(e – 1)
4(e – 1)
Which of the following represents the graph of the polar curve r = 2 sec(?
0
1
n – 1
n
n + 1
1/12
-1/12
0
1
Undefined
There is no minimum value for ‘a’
e
1
6.103
3.124
4.223
2.498
5.126