Let R be the region in the first quadrant bounded above by the curve y = 2 - x^2 and bounded below by the line y = x.

Suppose the shell method is used to determine the volume of the solid generated by

revolving R about the y-axis. What is the radius of a cylindrical shell at a point x in

[0, 2]?Evaluate the integral

1. writing an equation for an exponential function by 2. a piece of paper that is 0.6 millimeter thick is folded. write an equation for the thickness t of the paper in millimeters as a function of the number n of folds. the equation is t(n)= 3. enter an equation for the function that includes the points. (-2, 2/5) and (-1,2)

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm

Identify the parent function that can be used to graph the function f(x)=3(x-9)2