generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

The area of a rectangle is 54x^9y^8 square yards.if the length of the rectangle is 6x^3y^4 yards,which expression represents the width of the rectangle in yards