Find an equation of the parabola described and state the two points that define the latus rectum.Focus at (0, 3); directrix the line y = -3
A. x2 = 12y; latus rectum: (6, 3) and (-6, 3)
B. y2 = 16x; latus rectum: (7, 8) and (-7, 8)
C. x2 = 16y; latus rectum: (8, 3) and (-8, 3)
D. x2 = 12y; latus rectum: (3, 6) and (-3, 6)
Answer: A
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Find the first three terms of the Taylor series in x - a.cos x, a =
A. -
3 +
5 - . . .
B. -
2 +
3 - . . .
C. 1 - -
2 + . . .
D. 1 - 2 +
3 - . . .
Complete the sentence.Solutions of linear inequalities in two variables are
A. numbers. B. closed regions of planes. C. half-planes. D. lines.
If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.2
A. 4
B. -4
C.
D.
Solve. Write the answer as a mixed number in simplest form.Mark is filling decorative oil lamps for a reception. Each lamp can hold cup of oil. Mark has 3
cups of oil available. How many oil lamps can Mark fill completely?
A. 17 oil lamps
B. 18 oil lamps
C. 16 oil lamps
D. 19 oil lamps