Find the unit tangent vector of the given curve.r(t) = 
(1 + t)3/2i + 
(1 - t)3/2j + 
tk
A. T(t) = 
i + 
j + 
k
B. T(t) = 
i - 
j + 
k
C. T(t) = 
i - 
j + 
k
D. T(t) = 
i - 
j + 
k
Answer: B
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In what quarter was the revenue the least for 2000?
A. third quarter B. fourth quarter C. second quarter D. first quarter
Provide an appropriate response.Graph the cubic equation y = x3 - 4x using a table of values around zero.
A. 
B. 
C. 
D. 
Determine any local or absolute extrema as indicated.Estimate graphically the absolute extrema of f(x) = 
x3 - 2x2 - 5x.
A. Absolute maximum: -1; absolute minimum: 5 B. No absolute maximum; no absolute minimum C. Absolute maximum: ?; absolute minimum: -? D. Absolute maximum: 2.67; absolute minimum: 66.67
Solve the problem.A bicycle wheel rotates 300 times in a minute as long as the rider is pedalling. If the rider stops pedalling, the wheel starts to slow down. Each minute it will rotate only 2/3 as many times as in the preceding minute. How many times will the wheel rotate in the 4th minute after the rider's feet leave the pedals? Round your answer to the nearest unit.
A. 11 times B. 59 times C. 89 times D. 0 times