Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.
A. Rational, -8
B. Irrational, -8.000
C. Not a real number
D. Irrational, -32.000
Answer: C
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Simplify.cos(u + v) cos v + sin(u + v) sin v
A. cos u B. cos u (1 + cos2 v) C. cos v D. sin v
Sketch D and g(D) from the description of D and change of variables 
x = u cos v, y = u sin v where D is the rectangle 1 ? u ? 2, 0 ? v ? 
?
A.
 ? |  |
B.
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C.
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D.
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Solve the problem.Suppose that one box contains n balls, of which 6 are red. A second box contains 
balls, of which n are red. If you select a ball from each box, the probability of not drawing a red ball from the first box and a red ball from the second box is 
Simplify this expression and use it to find the probability when 
A. 
B. 
C. 
D. 
Solve the polynomial equation.x3 + 3x2 + 9x + 27 = 0
A. x = -3, 27i, 9i
B. x = -3, -3i, 3i
C. x = -
, -
, 3i
D. x = -3, -
, -