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Marvin the Miner is quickly walking north on 16th street at 5 feet per second while watching Blaster the Burro trotting west on Illinois street at 10 feet per second. At the moment Blaster is at the intersection of Illinois and 16th Marvin is 55 feet from the same intersection.
a. Three seconds later, at what rate is the distance between Marvin and Blaster increasing?
b. Five seconds later, how fast (in radians per second) must Marvin rotate his head to keep his eyes on Blaster?
c. Ten seconds later, how fast is the triangle change?
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a spherical balloon is to be felated so that the radius decreases at a rate of 3ft^3/min. How fast is the diameter of the balloon decreasing when the radius is 1ft?
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