Find the torsion of the space curve.r(t) = (t - 6)i + (ln(sec t) + 2)j - 8k, -?/2 < t < ?/2
A. ? = 0
B. ? = -1
C. Undefined
D. ? = 1
Answer: A
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Solve using Cramer's rule.-5x - 8z = -109 8x + 8y + 4z = 112-9x - 4y = -85
A. (9, -1, -8) B. (1, 8, 1) C. (10, -1, 8) D. (9, 1, 8)
Find the derivative.f(x) = 9x7/5 - 5x2 + 104
A. x2/5 - 10x
B. x6/5 - 10x
C. x6/5 - 10x + 4000
D. x2/5 - 10x + 4000
Write a word name for the number in the sentence.Repeating patterns in numbers like 400,040,004,000 held mystical significance for most of the members of the village.
A. Four hundred billion, forty million, four thousand B. Four hundred million, forty thousand, four C. Four billion, four hundred million, forty thousand D. Forty billion, four hundred million, four
Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.