The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (8 sin 2t)i - (10 cos 2t)j + (7 csc 2t)k
A. a
= 32i + 28k
B. a
= -32i + 28k
C. a
= 40j + 28k
D. a
= -32i - 28k
Answer: B
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Determine whether the improper integral converges or diverges.
A. Converges B. Diverges
Perform the indicated operation. Write the result in the form a + bi.
A. 
+ 
i
B. 
- 
i
C. 
+ 
i
D. 
+ 
i
Write the expression as a sum, difference, or multiple of logarithms.logb
A. 9 logbx - 7 logby - 4 logbz
B. 
logbx9 - logby7 - logbz4
C. 3 logbx - 
logby - 
logbz
D. 3 logbx - 
logby + 
logbz
Translate the problem to a system of equations, then solve using Cramer's Rule.The perimeter of a rectangle is 24 meters. If the width is doubled and the length is tripled, the perimeter is 60 meters. Determine the original width and length.
A. width = 10 m, length = 20 m B. width = 8 m, length = 12 m C. width = 6 m, length = 6 m D. width = 12 m, length = 12 m