Casablanca

The ends of a water trough have the shape of the region bounded by the graphs of y = x2 and y = 4 with x and y both measured in feet. To what depth must the trough be filled with water so that the force exerted by the water on either end of the trough is...

The region R is bounded by the x-axis, x = 2, and y = x^2. What is the the volume of the solid formed by revolving R about the line x = 2?

A solid has, as its base, the circular region in the xy-plane bounded by the graph of x^2 + y^2 = 4. Find the volume of the solid if every cross section by a plane perpendicular to the x-axis is a quarter circle with one of its radii in the base.

The change in the momentum of an object (Ä p) is given by the force, F, acting on the object multiplied by the time interval that the force was acting: Ä p = F Ät . If the force (in newtons) acting on a particular object is given by F(t)=cost , what’s the...

The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3. C. Find the volume of the solid generated when R is revolved about the x-axis.