Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by the curves.y = , y = 0, x = 1, x = 6 Give your answer in exact form.

A. ?
B. ?
C. ? ln 6
D. ? ln 6


Answer: D

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (10 sin 3t)i  - (3 cos 3t)j + (10 csc 3t)k

A. a = 90i + 90k
B. a = -90i + 90k
C. a = -90i - 90k
D. a = 27j + 90k

Mathematics

Find the product.(-7)(-6)(-4)

A. -178 B. -168 C. -68 D. 168

Mathematics

Solve the problem.How long will it take for the population of a certain country to triple if its annual growth rate is 5.7%? (Round to the nearest year.)

A. 8 yr B. 1 yr C. 20 yr D. 53 yr

Mathematics

Evaluate.Find (f/g)(-5) given f(x) = 5x - 2 and g(x) = 4x2 + 14x + 2.

A.
B.
C.
D.

Mathematics