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Tag Archives: Calculus 1
AP calculus find the sum of the regions
The graph of y=f(x) is shown in the figure above. If A1
IB HL Kinematics, Richard helicopter
Richard, a mariner steps out of a stationary helicopter, 1000 m above the ground at time t=0, Let his height in meters above the ground be given by s(t). For the first 10 seconds his velocity, v(t) is given by … Continue reading
IB Math Time to nearest distance between ships
At 1:00 pm ship A leaves port P. It sails in the direction east of north at 12 km per hour. At the same time ship B is 100 km due east of P and sailing at 8 km per … Continue reading
Same volume of rotation about x and y axis for a concave down parabola
Consider a graph of the function shown below where k > 0. When the shaded region is rotated about the x axis the volume of the solid formed is equal to the volume formed when the region is rotated about … Continue reading
Related rate problem of distance between ships moving in opposite directions
Ship A is 70 km west of ship B and is sailing south at the rate of 25 km/h. At the same time ship B is sailing north at the rate of 45 km/h. How fast is the distance z … Continue reading
Max Volume of a closed box
A piece of cardboard, measuring 100 cm by 200 cm is to be made into a box by cutting out small square, each with side length x, as shown in the diagram. a is the length between the square on … Continue reading
Sumant's 1 page of Math 