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October 2, 2014

October 2, 2014

Posted by **Eun** on Sunday, October 9, 2011 at 11:06pm.

2. Water is dripping slowly onto a metal countertop, creating a circular wet spot whose area is increasing at the constant rate of ÆÄÀÌ/2 square inches per second. How fast is its radius increasin g when the radius is 4 inches?

3. An observer stands 25 feet from the base of a 50 foot flagpole and watches a flag being lowered at a rate of 5ft/sec. Determine the rate at which the angle of elevation from the observer to the flag is changing at the instant that the flag is 25 feet.

- math -
**Steve**, Monday, October 10, 2011 at 11:51amLet the distance from home to the runner be d.

Let the distance from first base to the runner be x

d^2 = 90^2 + x^2

2d dd = 2x dx

when x = 45, d = 45 sqrt(5) = 100.62

201.24 dd = 90 (20)

dd = 1800/201.24 = 8.94 ft/s

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can't read 2nd problem - font garbling

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h/25 = tan(theta)

dh/25 = sec^2(theta) * dtheta

-5/25 = 2 * dtheta

-.1 = dtheta

- math -
**Anonymous**, Tuesday, October 18, 2011 at 1:12amFor 2, I got 0.625 in/sec. dA/dt is pi/2.

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