Let X be a continuous random variable with a cumulative distribution function 
. Find 
A. e-1 - e-2
B. 1 - e-1 - e-2
C. e-1 - e-4
D. e-1 - e-2 - 2
E. none of these
Answer: C
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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 16t2, y = 4t, -? ? t ? ?
A. x = y2
Entire parabola, bottom to top (from fourth quadrant to origin to first quadrant)
B. y = x2
Entire parabola, right to left (from first quadrant to origin to second quadrant)
C. x = y2
Entire parabola, top to bottom (from first quadrant to origin to fourth quadrant)
D. y = x2
Entire parabola, left to right (from second quadrant to origin to first quadrant)
Insert <, >, or = between the pair of numbers to form a true statement.0.5 
A. = B. > C. <
For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (5 tan t)i - (9 sin t)j + (8 cos2 t)k ; t0 = 
A. x = 10 + 5t, y = -
- 
t, z= -8 + 4t
B. x = 5 + 10t, y = -
- 
t, z = 8 - 8t
C. x = 5 + 10t, y = -
+ 
t, z = 4 + 8t
D. x = 5 + 10t, y = -
- 
t, z = 4 - 8t
Add or subtract. Simplify the answer.
+ 
A. 
B. 
C. 
D. 