Math Licensure Examination

The graph r = a + b cos theta is a

• Limacon

• Lemniscate

• 4.33

• Cardioid

Mon and Mila can restock an aisle at the supermarket in one hour working together. Melinda can restock an aisle in 1.5 hours working alone, and it takes Joaquin 2 hours to restock an aisle. If they work together in 2 hours, how many aisles will they have completed?

• 5.11

• 3.50

• 2.00

• 1.00

Find the eccentricity of the ellipse when the length of its latus rectum is 2/3 of the length of its major axis.

• 0.56

• 0.58

• 0.62

• 0.64

If i = (-1)^1/2, find the value of i^64002.

• -i

• 1

• -1

• i

What is the general solution of (D^2 + 2) y(t) = 0?

• y = C1cos2t + C2sin2t

• y = C1cos√2t + C2sin√2t

• y = C1sin2t + C2cos2t

• y = C1sin√2t + C2cos√2t

A federal agency is trying to decide which of two waste management projects to investigate as the source of air pollution. In the past projects of the first type were in violation of air quality standards with probability 0.3 on any given day while projects at the second type were in violation of air quality standards with probability of 0.35. It is not possible both projects to pollute in one day. If the first project is violating air quality standards, what is the probability the second project is also violating federal air quality standards?

• 0.105

• 0.65

• 0

• 0.05