First of all, would this work for average velocity for this:
The height of Heather's calculus book t seconds after she drops it from the top of the 500-meter-tall building is s(t)=-4.9t^2+500.
a. Find the average velocity of the object during the first 3 seconds.
b. Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fall the instantaneous velocity equals the average velocity. Find that time.
a. Vav= displacement/time=44.1/3=14.7?
and then I don't get B...
Make a function having all the indicated characteristics:
f '(3)=f '(5)=0
f '(x)>0 if x<3
f '(x)>0 if 3<x<5
f ''(x)<0 if x<3 and x>4
f ''(x)>0 if 3<x<4