## Calculus Resources

A cone shaped drinking cup is made from a circulaR piece of paper of radius r by cutting out a sector and joining the edges CB and CD. if the cut is made so that the volume of the resulting cup is...

A trough is 14 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 8 ft3/min,...

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1...

If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.  This is for my college calculus...

Let O, A and B be three non-collinear points in a plane. Let OC = OB-2OA, OD = OB + 3OA and OE = -OA. Let M be the point of intersection of the line through O and C and the line through...