Find the torsion of the space curve.r(t) = (t - 3)i + (ln(sec t) + 8)j - 10k, -?/2 < t < ?/2

A. ? = 0
B. ? = -1
C. ? = 1
D. Undefined


Answer: A

Mathematics

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Perform the indicated operations.3 × 10-35 + 5 × 10-34

A. 8.0 × 10-34 B. 5.3 × 10-35 C. 5.3 × 10-34 D. 5.3 × 10-33

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IT = 131 mA, I1 = 15 mA, and I2 = 36 mA. Find I3.



a. 152 mA
b. 80 mA
c. 183 mA
d. 110 mA
e. 65 mA

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Use mathematical induction to prove that the statement is true for every positive integer n.1 ? 8 + 2 ? 8 + 3 ? 8 + . . . + 8n = 

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Solve the problem.The hydrogen potential, pH, of a substance is defined by pH = -log [H+], where [H+] is measured in moles per liter. Find the pH of a sample of lake water whose [H+] is 3.05 × 10-9 moles per liter. (Round to the nearest tenth.)

A. 10.1 B. 7.3 C. 6.4 D. 8.5

Mathematics