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Monthly Archives: February 2026
Mathcounts: Sum of reciprocals of powers of 10
Solve for x :
AP Calculus Rotating beacon problem
A rotating beacon is located 2 miles out in the water. Let A be the point on the shore that’s closest to the beacon. As the beacon rotates at 10 revolution per minute, the beam sweeps down the shore once … Continue reading
AP Calculus Chain Rule using Graphs
Suppose you take a car trip, traveling east along a very long highway, starting at time t=0. Let be the number of gallons of gasoline used during the first hours and let be the distance traveled in that time. Because … Continue reading
Related rate of boat moving
A boat is being pulled in to a dock by a
AP Calculus, Sliding Ladder, Rate of change of Area
A 5m ladder is sliding down a vertical wall so the distance between the bottom of the ladder and the wall is increasing at 6 m/ minute. at a certain instant the top of the ladder is 3 m from … Continue reading
The Mast-top Problem
A ship has two masts, 25 ft tall and 50 ft apart. A 100 ft rope the two ends of which are fastened to the top of these masts, is pulled taut as shown in above fig. Assuming this rope … Continue reading
Sumant's 1 page of Math 