Evaluate the line integral along the curve C.
ds , C is the curve r(t) = (5t7 cos t)i + (5t7 sin t)j + 5t7k , 0 ? t ? 7
A. 
(4 - 
)
B. 
(4 - 
)
C. 0
D. 
(4 + 
)
Answer: B
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Evaluate the integral.
dz
A. csc 
+ C
B. - 
csc 
+ C
C. -cot 
+ C
D. -csc 
+ C
Express the integrand as a sum of partial fractions and evaluate the integral.
A. 2ln
+ 4ln
+ C
B. 3ln
- 4ln
+ C
C. 2ln
+ 4ln
+ C
D. ln
+ C
Identify a method whereby a random sample can be selected from the population.The organizer of a contest would like to select a random sample of 20 prizewinners from the 627 contestants who correctly answered all questions.
A. Select the first 20 contestants whose names begin with the letter C. B. Choose the 20 responses which have the earliest postmark. C. Construct a spinner with ten 36° sectors numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Assign each contestant a number from 001 to 627. Generate a random sequence of three-digit numbers by repeatedly spinning the spinner 3 times. Ignore any number greater than 627, any number already obtained, or 000. When 20 appropriate numbers have been generated, they can be used to identify the contestants to be included in the sample.
Graph the ellipse. Label the foci and the endpoints of each axis.4x2 + 16y2 = 64
A. F(0, ±2
); V(0, ±4); U(±2, 0)
B. F(±2
, 0); V(±4, 0); no endpoints
C. F(±
, 0); V(±5, 0); U(0, ±2)
D. F(±2
, 0); V(±4, 0); U(0, ±2)