Find the numerical value of the expression for  and x - 3

A. a) 7 b) 21
B. a) 12 b) 54
C. a) 15 b) 1
D. a) 1 b) 15


Answer: D

Mathematics

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Write the compound statement in words.Let r = "The puppy is trained."   p = "The puppy behaves well."  q = "His owners are happy."r ? (p ? q)

A. If the puppy is trained, then the puppy behaves well and his owners are happy. B. If the puppy is trained and the puppy behaves well, then his owners are happy. C. The puppy is trained, the puppy behaves well, and his owners are happy. D. The puppy is trained and the puppy behaves well if his owners are happy.

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Decide whether the given statement is always true or not always true.If B ? A, then A ? B = A

A. Not always true B. Always true

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Solve the initial-value problem y?? + 4y = 4x + 2, y (0) = 2, y?(0) = 4

What will be an ideal response?

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Express the product as a sum containing only sines or cosines.sin  cos 

A. [cos(12?) - sin(10?)]
B. [sin(6?) - sin(5?)]
C. [cos(6?) + sin(5?)]
D.  sin cos(11?)

Mathematics