Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e3x cos 3x + c2e3x sin 3x
A. D2y + 6Dy - 18y = 0
B. D2y + 6Dy + 18y = 0
C. D2y - 6Dy - 18y = 0
D. D2y - 6Dy + 18y = 0
Answer: D
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Evaluate the limit by direct evaluation. Change the form of the function where necessary. 
x2 - 4x - 6
A. Does not exist B. 18 C. -10 D. 2
Answer the question or solve the problem.Susan, Tim, Peter, Nora and Norma have 20 pieces of candy to share. Susan only wants two pieces. Peter will take as many as he can. Tim and Nora will end up with the same number of pieces. Norma will not get the most pieces, but Susan will get the fewest pieces. Norma will get twice as many pieces as Susan and the same number as Tim. They all end up with an even number of pieces and no one has more than 10-pieces. How many pieces of candy does each get?
A. Susan ? 2, Tim ? 4, Peter ? 6 , Nora ? 4, Norma ? 4 B. Susan ? 2, Tim ? 2, Peter ? 10, Nora ? 4, Norma ? 2 C. Susan ? 2, Tim ? 4, Peter ? 8, Nora ? 2, Norma ? 4 D. Susan ? 2, Tim ? 2, Peter ? 8, Nora ? 4, Norma ? 4
If possible, solve each system by an algebraic method (substitution or addition method). Otherwise, state that the problem has no solution or an infinite number of solutions. x + 4y = 112x + 3y = 2
A. (5, 5) B. (4, -5) C. (-6, 5) D. (-5, 4)
Solve.Evelyn and Ralph collect baseball cards. Evelyn has three times the number of baseball cards that Ralph has. Together they have 164 baseball cards. Find how many baseball cards Evelyn has.
A. 161 baseball cards B. 123 baseball cards C. 492 baseball cards D. 41 baseball cards