Test for the exactness and find the implicit solution to [2x+ycos(xy)]dx+ xcos(xy)dy=0when -플.y=1. X = x2 + sinxy= +1 - 1 x2 – sinxy= 4 O x2 – 2sinxy= 4 4- x2 - sinxy=1

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.

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.