Compute the unit binormal vector and torsion of the curve. r(t) = 
A. B(t) = 
, ? = 1
B. B(t) = 
, ? = 0
C. B(t) = 
, ? = 0
D. B(t) = 
, ? = 1
Answer: B
Mathematics
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A. (xy + 64)(xy - 64) B. (x2y2 + 8)(x2y2 - 8) C. (xy + 8)(xy - 8) D. (xy - 8)(xy - 8)
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Use the Binomial Theorem to expand the binomial and express the result in simplified form.(3x + 5)4
A. 81x4 + 540x3 + 1350x2 + 1500x + 625 B. 81x4 + 625x4 C. 81x3 + 540x2 + 1350x + 1500 D. 405x4 + 2700 x3 + 1350x2 + 7500x + 625
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Provide an appropriate response.Given a geometric sequence such that a1 = 4 and a4 = -108, find a5.
A. 1296 B. -1296 C. 324 D. -324
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Factor f(x) into linear factors given that k is a zero of f(x).f(x) = x3 - 48x - 128; k = -4 (multiplicity 2)
A. f(x) = (x + 8)(x + 4)(x - 4)
B. f(x) = 
(x - 8)
C. f(x) = 
(x + 8)
D. f(x) = 
(x - 8)
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