Solve the problem.When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by where m is the mass of the object in kilograms, g = 9.8 m/s2 is the acceleration due to gravity, and k is a physical constant. A BASE jumper  leaps from a tall cliff and performs a ten-second delay (she free falls for 10 s and then opens her chute). How far does she fall in 10 s? Assume 

style="vertical-align: -4.0px;" /> Round the answer to one decimal place if necessary.

A. 14.6 m
B. 331.1 m
C. 365 m
D. 73 m


Answer: C

Mathematics

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Solve the problem.The slope to the tangent line of a curve is given by  If the point (0, 3) is on the curve, find an equation of the curve.

A. f(x) = x3 - 12x2 + 9x + 1
B. f(x) = x3 - x2 + 9x + 1
C. f(x) = x3 - x2 + 9x + 3
D. f(x) = x3 - 12x2 + 9x + 3

Mathematics

Answer the question.Consider the numbers -14, -, -108, , -, 5.. Which are rational numbers?

A. -14, -108,  , -, 5.
B. -14, -108,  ,
C. -14, -108
D. -, 5.

Mathematics

Multiply and simplify. ? 108x

A.
B.
C. 6,804x
D.

Mathematics

Find the derivative of the function.y =  + 

A.  = -6 csc x cot x + sec2x
B.  = 6 csc x cot x - sec2x
C.   = 6 csc x cot x - csc2x
D.  = 6 cos x - csc2x

Mathematics