Find the torsion of the space curve.r(t) = (cosh t)i + tj + (sinh t)k
A. ? = 0
B. ? = 
C. ? = - 
D. ? = - 
Answer: C
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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 64 - x2 and the x-axis, with density ?(x) = 8x2
A. 
= 0, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 
D. 
= 
, 
= 0
Solve the problem.A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 120 in. Suppose you want to mail a box with square sides so that its dimensions are 
and it's girth is 
What dimensions will give the box its largest volume?
A. 40 in. × 20 in. × 40 in.
B. 20 in. × 20 in. × 100 in.
C. 
in. × 
in. × 20 in.
D. 20 in. × 20 in. × 40 in.
Perform the indicated operations.6 - 8
A. -14 B. -2 C. 14 D. 2
Solve the equation. First simplify the expression by combining like terms.
y - (y - 
) = 
( y - 8)
A. 
B. - 
C. - 
D. 