Solve the 1-dimensional heat equation problem. ди Ət u (0,t) u (x, 0) = = = 2- J²u მე2 u (5,t) = 0, for t> 0 f(x) = -4 sin (Tx) +3 sin (2πx), for 0 ≤ x ≤5

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.

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.