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

Maci and i are making a small kite. two sides are 10". two sides are 5". the shorter diagonal is 6". round all your answers to the nearest tenth. 1. what is the distance from the peak of the kite to the intersection of the diagonals? 2. what is the distance from intersection of the diagonals to the top of the tail? 3. what is the length of the longer diagonal?