Friday

July 25, 2014

July 25, 2014

Total # Posts: 9

**diff eq**

solve 2y^2(y'')+2y(y')^2=1

**calculus**

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

**calculus**

f(x)=(x^2+1)(1-x-x^3).Determine the equation of the line tangent to f(x) at the point (1,-2).

**calculus**

Find the equation of the tangent line to the curve x^3 + xy^2 =5 at the point (1,2).

**calculus**

What is the slope of the curve x = cos(y) at the point where y=-pi/3

**cal**

determine any values of x for which a tangent line to the curve f(x)=1/x will have a slope of -4

**cal**

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?

**calculus**

The slope of the curve x^3y^2 + 2x - 5y + 2 = 0 at the point (1,1) is

**calc**

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.

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