Related+Rates+Quiz+for+Kelsey

Kelsey's Quiz

1) Let A be the area of a circle with radius r at time t. If the **radius** changes at a rate of 2 in/sec, at what rate is the circle's **area** changing when r = 1?

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 * 5) || [[image:http://cow.temple.edu/~cow/images/auxiliary/StreetlightImages/Man%20and%20streetlight.lightwoman.gif]] || A 5.5 ft tall woman is walking away from a 44 ft high streetlight at the rate of 6 ft per second. How fast is the woman's shadow growing as she walks? ||

1) A 20 ft long ladder is leaning against a wall, but is sliding down. At the moment when the base of the ladder is 12 ft from the wall and is sliding away at 5 fps, how high is the top of the ladder and how fast is it sliding down?