[8] 5. A circle is growing with time. a) At a certain moment, the circle's radius is 20 inches and is increasing at
3.5i(n)/(sec)
. At what rate is the circle's area increasing at this same moment? b) At another moment, the circle's area is increasing at
90i(n^(2))/(sec)
and its radius is increasing at
1.5i(n)/(sec)
. At this moment, what is the radius of the circle? [6] 6. A 10 -foot long ladder is leaning against a wall, but sliding. At a certain moment, the base of the ladder is 5 feet from the wall, and sliding away from the wall at
2f(t)/(sec)
. At that same moment, how fast is the top of the ladder sliding down the wall?