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Differential Calculus

23 of 112 questions match · page 2 of 2. Answer in your head first, then check the solution.

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#21📜 CE Board May 1996📘 1001 Math RojasHard
Two railroad tracks are perpendicular to each other. At 12:00 P.M. there is a train at each track approaching the crossing at 50 kph, one being 100 km and the other 150 km away from the crossing. How fast in kph is the distance between the two trains changing at 4:00 P.M.?
A67.08
B68.08
C69.08
D70.08
#22📜 CE Board May 1995📘 1001 Math RojasHard
Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 \(cm^3/min\). When the water is x cm. deep, the water level is rising at the rate of 0.0149 cm/min. What is the value of x?
A3
B2
C4
D5
#23📜 Preboard📘 PowerhouseHard
Find the height of a right circular cylinder of maximum volume which can be inscribed in a sphere of radius 10 cm.
A11.55 cm
B14.55 cm
C12.55 cm
D18.55 cm

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