Solve Uxx = utt u(x, 0) = 0, "+ (x, 0) = x² '

Determine dimension x to 3 decimal places.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Solve the following equations: 2cos^2(x)-3cos(x)+1=0 on the interval [0,2pi)