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(Solved): [8] 5. A circle is growing with time. a) At a certain moment, the circle's radius is 20 inches and i ...



[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?

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