Consider the Dirichlet problem for the "hammer blow" on the half line (you may assume c = 1, h = 1) utt − c 2uxx = 0 in 0 < x < [infinity], u(x, 0) = φ(x), ut(x, 0) = ψ(x), u(0, t) = 0, with φ(x) ≡ 0, ψ(x) = h, a < x < 2a, 0, otherwise. Find the values of u for all (t, x) and indicate them on the (t, x)-plane. Draw the profile of the string at several times a/2c, a/c, 3a/2c, 5a/2c to understand how the wave gets reflected from the boundar

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

How can writing phrases as algebraic expressions you solve problems?

In stepmber, daniel and justin opened a business. during their first three months of business, their average monthly profit was $51. if during their first month, they lost $29, and during their second month, they gained $115, what was their profit or loss for their third plzzz i will give you 299 points