Solve the problem.The velocity of a body of mass m falling from rest under the action of gravity is given by the equation  where k is a constant that depends on the body's aerodynamic properties and the density of the air, g is the gravitational constant, and t is the number of seconds into the fall. Find the limiting velocity, v, of a 190 lb. skydiver (mg = 190) when k = 0.006.

A. 177.95 ft/sec
B. There is no limiting speed.
C. 56.27 ft/sec
D. 0.01 ft/sec


Answer: A

Mathematics

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Solve the problem.Dr. Taylor can see 6 patients in 3 hours. At this rate, how long would it take him to see 24 patients?

A. 12 hours B. 11 hours C. 18 hours D. 48 hours

Mathematics

Find first four terms of the indicated expansion by use of the binomial series.(1 + x)-1/2

A. 1 + x + x2 + x3 + . . .
B. 1 + x - x2 + x3 - . . .
C. 1 - x + x2 - x3 + . . .
D. 1 - x + x2 - x3 + . . .

Mathematics

Simplify. Assume that variables can represent any value.

A. 8t2
B. 8t
C. -8t
D. 8

Mathematics

Provide an appropriate response.Find y' if y = x3x.

What will be an ideal response?

Mathematics