Solve Laplace's Equation on a disk of radius R with the boundary data given below. Give explicit formulae for all integrals (i.e. evaluate all integrals). Au = 0 u(R, 0) = 0(2π- 0) π2 on 0≤0<2π NOTE: You must use the range of 0 given above to get the correct answers!

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.