2 sin² t 8. lim t→π 1 + cost 9. lim x→0 cos(3x) + cos(4x) - 2 X 11. lim ← cos 0 +1 sin² 0

Find dydx if x2+y2=xy.

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.

YOUR TURN Find dy/dx if y=5x2-6x-2.