Evaluate the line integral along the curve C.
ds, C is the curve r(t) = (-6 - 2t)i + tj - 2tk , 0 ? t ? 1
A. - 13
B. 23
C.
D. -
Answer: B
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Evaluate. The differential is exact.
A. 1 B. 0 C. -2 D. 2
Solve the problem.Find the angle ? given x = 51, y = 16, ? = 60°.
A. 17.42° B. 42.58° C. 12.58° D. 120°
Solve the problem.An audio speaker that weighs 50 pounds hangs from the ceiling of a restaurant from two cables as shown in the figure. To two decimal places, what is the tension in the two cables?
A. Tension in right cable: 35.90 lb; tension in left cable: 41.59 lb B. Tension in right cable: 35.90 lb; tension in left cable: 14.10 lb C. Tension in right cable: 14.10 lb; tension in left cable: 41.59 lb D. Tension in right cable: 41.59 lb; tension in left cable: 35.90 lb
Convert as indicated. If necessary, round to two decimal places.54 miles to kilometers
A. 86.94 km B. 58.86 km C. 137.16 km D. 33.48 km