Calculus word problem involving derivatives.?
Question: A dinghy is pulled toward a dock by a rope from the bow thruogh a ring on the dock 6ft above the bow. The rope is hauled in at the rate of 2 ft/sec. a)How fast is the boat approaching the dock when 10 ft of rope are out? b)At what rate is angle x changing then?
Answers: you want to find the rate of change in the cos of the angle from the boat to the ring.
if angle = x then dx/dt is the derivative
at x = 0, boat is pulled at same rate as rope is pulled.
find angle using 6 ft base and 10 ft hypotenus.
Answers: you want to find the rate of change in the cos of the angle from the boat to the ring.
if angle = x then dx/dt is the derivative
at x = 0, boat is pulled at same rate as rope is pulled.
find angle using 6 ft base and 10 ft hypotenus.
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But I think you're looking for the wrong thing, here.
You shouldn't just be looking for
But I think you're looking for the wrong thing, here.
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