Find the curvature of the curve r(t).r(t) = (3 + cos 7t - sin 7t)i + (9 + sin 7t + cos 7t)j + 2k

A. ? = 
B. ? = 
C. ? = 
D. ? = 


Answer: B

Mathematics

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Solve the problem.A triangle drawn on a map has sides of lengths 9.0 cm, 12 cm, and 15 cm. The shortest of the corresponding real-life distances is 90 km. Find the longest of the real-life distances. Round to the nearest unit.

A. 54 km B. 150 km C. 120 km D. 113 km

Mathematics

Find the distance from P1 to P2.P1 = (-1, -3, 3) and P2 = (2, 2, 4)

A.
B.
C.
D.

Mathematics

Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(4(cos 30° + i sin 30°))3

A. 64i B. -64 C. -64i D. 64

Mathematics

Find the horizontal asymptote of the given function.g(x) = 

A. y = 3 B. None C. y = 5 D. y = -7

Mathematics