Solve the quadratic equation. Express imaginary solutions in a + bi form.x2 + 144 = 0
A. {-12i}
B. {±144i}
C. {±12i}
D. {12i}
Answer: C
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Decide whether or not the following is a statement.This test is too hard.
A. Statement B. Not a statement
Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = , 1 ? x ? 2, with density ?(x) =
A. =
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=
B. =
,
=
C. =
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=
D. =
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Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive.A: One of the numbers is four.B: The sum is greater than 11.
A. Yes B. No
Solve the problem.An open-top box is to be made by cutting small identical squares from each corner of a sheet of tin and bending up the sides. If each corner square is x inches on a side, the volume of the box (in in.3) is given by V(x) = 144x - 48x2 + 4x3. By sketching the graph of V(x), estimate what values of x result in a box with a volume greater than 64 in3.
A. 0.1 in. ? x ? 5.0 in. B. 1.0 in. ? x ? 3.0 in. C. 1.5 in. ? x ? 2.5 in. D. 0.54 in. ? x ? 4 in.