PILOT Problem Set 3.pdf - Pilot Problem set 3 week of Feb 14 1 Let f~(t = sin 2t cos 3t Find d ~ |f | dt using vector methods 2 An airplane is traveling

PILOT Problem Set 3.pdf - Pilot Problem set 3 week of Feb...

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Pilot Problem set 3, week of Feb. 14 1. Let ~ f ( t ) = sin 2 t + cos 3 t . Find d dt | ~ f | using vector methods. 2. An airplane is traveling directly east at 300km/hr and is climbing at the rate of 36km/hr. At a certain instant the airplane is 12km above the ground and 5km directly west of an observer on the ground. How fast is the distance between the observer and the airplane changing at this instant? 3. Find the equation of the tangent plane to the implicitly defined graph z = z ( x, y
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