Use Duhamel’s principle as formulated for the wave equation in Section 2.5 to find the solution to utt − c2uxx = f(x, t), 0 < x < π, t > 0, u(0, t) = u(π, t) = 0, t>0, u(x, 0) = ut(x, 0) = 0, 0 < x < π.

Abike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally. how much did the shop spend originally? how much profit did the bike shop earn by selling the bicycle and helmet to you ?

The sum of these consecutive integers is equal to 9 less than 4 times the least of the integer. find the three integers

Three friends are comparing the prices of various packages of golf balls at a sporting goods store. hector finds a package of 6 golf balls that costs $4.50.