6. If f(4) = 3 and f'(4) = -5, find g'(4) where g(x) = √√xf(x).

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=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.