d) y+3y- 4y = 6e²t-3 y(1.5) = 4, y' (1.5) = 5 e) y"+y-2y= 3 sint - cos t if 0 < t < 27 and 3 sin 2t cos 2t if t> 2m; y (0) = 1, y (0) = 0 > -

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 an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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.