determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3-x^5, y=0, x=0 and x=1 about the line x=3
f(x)=(x^2+1)(1-x-x^3).Determine the equation of the line tangent to f(x) at the point (1,-2).
Find the equation of the tangent line to the curve x^3 + xy^2 =5 at the point (1,2).
What is the slope of the curve x = cos(y) at the point where y=-pi/3
determine any values of x for which a tangent line to the curve f(x)=1/x will have a slope of -4
The height, h, of a cylinder is 3 times its radius, r. Which of the following represents the rate of change of the volume, V, of the cylinder with respect to its height, h?
The slope of the curve x^3y^2 + 2x - 5y + 2 = 0 at the point (1,1) is
A window consists of a rectangular part of height h surmounted by a semicircle of radius r. The perimeter of the window is held constant at 10 feet, but h and r are allowed to vary. Find an expression for the rate of change of h with respect to r.