Find the triple scalar product (u x v) ? w of the given vectors.u = 4i + 2j - j; v = 6i + 6j - 6k; w = 5i + 3j - 10k
A. -216
B. -180
C. -24
D. -96
Answer: D
Mathematics
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Use the integral test to determine the convergence or divergence of the series.
A. Converges B. Diverges
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Evaluate the integral.
dx
A. 1 B. 1 - cos 1 C. 1 + cos 1 D. -1
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Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v = 
sin 
, s(?2) = 2
A. s = -2 cos 
+ 3
B. s = 2 cos 
+ 4
C. s = -2 cos 
+ 4
D. s = -2 cos 
+ 8
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Find the work done by a force F = i+5j+7k that moves an object from the point (3,0,5) to the point (7,5,10) along a straight line. The distance is measured in meters and the force in newtons.
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Mathematics