Consider the equation utt = c 2uxx for 0 < x < l, with the boundary conditions ux(0, t) = 0, u(l, t) = 0. (a) Find all eigenfunctions. (The answer is cos[(n + 1 2 )πx/l], which n?) (b) Write the series expansion for a solution u(x, t) in terms of the initial data and (·, ·)L2 .

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

$79500

step-by-step explanation:

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: