(1) suppose that a, b and k are constants and consider the differential equation ksin(2t). show that f(t) = asin(t) + b cos(t)-k/3sin(2t) is a solution.

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

Jacks bank statement shows an account balance of -$25.50. which describes the magnitude, of size, of the debt in dollars