Explain why the following statement is true. (You may use the theorem on polynomial orders.)
3 + 6 + 9 + · · · + 3n is O(n^2).
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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 1 + 5 cos tFind the body's velocity at time t = ?/3 sec.
A. 
m/sec
B. - 
m/sec
C. 
m/sec
D. - 
m/sec
Simplify the given expression using the definition for negative exponents. Assume that all variables represent nonzero numbers.
A. 8 B. 3k2 C. 3k D. 8k2
Factor, using the given factor. Assume all variables represent positive real numbers.12y4(2y + 1)-2/5 + 16y3(2y + 1)3/5 - 32y2(2y + 1)8/5; 4y2(2y + 1)-2/5
A. 4y2(2y + 1)-2/5(21y2 - 28y + 8) B. 4y2(2y + 1)-2/5(-21y2 - 28y - 8) C. 4y2(2y + 1)-2/5(19y2 - 28y + 8) D. 4y2(2y + 1)-2/5(-19y2 - 28y - 8)
Find the relative maximum and minimum values.
f (x, y) = x2 + xy + y3 + 2x