Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 5}, B = {1, 2, 5, 6}, C = {3, 5, 7}. List all the members of the set below.


  ?
{ __________ }

Fill in the blank(s) with the appropriate word(s).


Answer: 5

Mathematics

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Find the common ratio for the geometric sequence.4, 8, 16, 32, 64, . . .

A. 4
B.
C. 2
D. Not geometric

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Find all possible functions with the given derivative.y' = 7x2 - 3x

A. x2 + x + C
B. - x3 - x2 + C
C. x3 + C
D. x3 - x2 + C

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0

A. ? = 45°
 - y'2 = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
B. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
C. ? = 45°
 + y'2 = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
D. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)

Mathematics

A = 62ø, a = 10 and b = 8. Using the Law of Sines, find side c.

What will be an ideal response?

Mathematics