Find all complex-number solutions by completing the square.x2 - 6x + 13 = 0
A. x = 3 ± 2i
B. x = 5, x = 1
C. x = 3 + 2i
D. x = 3 ± 4i
Answer: A
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Find 
by using the Chain Rule. Express your final answer in terms of t.w = ex cos y + ey cos x; x = 9t, y = -4t
A. e-4t(9 cos -4t + 4 sin -4t) e9t(-4 cos 9t - 9 sin 9t) B. e9t(9 cos -4t + 4 sin -4t) e-4t(-4 cos 9t - 9 sin 9t) C. e-4t(9 cos -4t - 4 sin -4t) e9t(-4 cos 9t + 9 sin 9t) D. e9t(9 cos -4t - 4 sin -4t) e-4t(-4 cos 9t + 9 sin 9t)
Solve the problem.The following table shows a country's population from 1995 to 1998:
Divide the population for each year by the population in the preceding year. Use this ratio to write the general term of the geometric sequence describing the country's population growth n years after 1994. Then estimate the country's population, in millions, in 2005.
A. an = 12.10(1.04)n - 1; 18.63 million B. an = 12.10(1.04)n - 1; 17.91 million C. an = 12.10(1.03)n - 1; 20.44 million D. an = 12.10(1.03)n - 1; 21.67 million
Solve.Given f(x) = x2 + 2x - 11 find all values for x for which f(x) ? -3.
A. (-?, -4] ? [2, ?) B. (-4, 2) C. ? D. [-4, 2]
Convert to decimal notation.5.0182 × 107
A. 501,820,000 B. 351.274 C. 5,018,200 D. 50,182,000