Use the graph of f to determine the intervals where f is increasing and where f is decreasing.
A. incr: x ? 0; decr: x ? 0
B. incr: all x
C. decr: all x
D. incr: x ? 0; decr: x ? 0
Answer: D
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Find the unit tangent vector of the given curve.r(t) = (10 - 2t)i + (2t - 10)j + (4 + t)k
A. T = 
i - 
j - 
k
B. T = - 
i + 
j + 
k
C. T = 
i - 
j - 
k
D. T = - 
i + 
j + 
k
Solve the problem.A mutual fund invests $55,200 in utility stocks and earns 7% per year on the investment. How much money is earned per year?
A. $78,857 B. $788,571 C. $3864 D. $38,640
Solve the problem.A rectangle has its center at the origin. It has two sides of length 4a which are parallel to the horizontal axis and two sides of length 2a parallel to the vertical axis. Find polar coordinates of the vertices.
A. ? (a
, 30°), (a
, 150°), (a
, 210°), (a
, 330°)
B. ? (2a
, 26.6°), (2a
, 153.4°), (2a
, 206.6°), (2a
, 333.4°)
C. ? (a
, 26.6°), (a
, 153.4°), (a
, 206.6°), (a
, 333.4°)
D. ? (2a
, 63.4°), (2a
, 116.6°), (2a
, 243.4°), (2a
, 296.6°)
Solve the problem.What is the minimum product of two numbers whose difference is 84?
A. -1764 B. -42 C. -3528 D. -21