Solve the equation for solutions in the interval [0°, 360°).sin 2? = cos ?

A. ? = 0°, 120°, 180°, 240°
B. ? = 105°, 165°, 285°, 345°
C. ? = 15°, 165°, 195°, 345°
D. ? = 30°, 90°, 150°, 270°


Answer: D

Mathematics

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Solve the problem.The size of a population of lions after t months is P = 100 (1 + 0.2t + 0.02t2). Find the growth rate when 

A. 180 lions/month B. 140 lions/month C. 10,020 lions/month D. 160 lions/month

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Find the particular solution to the given differential equation that satisfies the given conditions.3 - 13 + 4y = xe-2x;   = -  and y =  when x = 0

A. y = e4x - ex/3 + xe-2x + e-2x 
B. y = e4x - ex/3 - xe-2x + e-2x 
C. y = e4x + ex/3 + xe-2x + e-2x 
D. y = e4x - ex/3 + xe-2x + e-2x 

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Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.(9x3)-2 

A.
B.
C. 81x6
D.

Mathematics

Write a fraction to represent the shaded area of the figure.

A.
B.
C.
D.

Mathematics