Posted by **Jessy152** on Wednesday, February 27, 2013 at 1:27pm.

The functions f and g are given by f(x)=√x and g(x)=6-x. Let R be the region bounded by the x-axis and the graphs of f and g, as shown in the figure in the link below. Please show your work.

h t t p://goo.gl/jXIZD

1. Find the area of R.

2. The region R is the base of a solid. For each y, where 0<=y<=2, the cross section of the solid taken perpendicular to the y-axis is a rectangle whose base lies in R and whose height is 2y. Write, but do not evaluate, an integral expression that gives the volume of the solid.

3. There is a point P on the graph of f at which the line tangent to the graph of f is perpendicular to the graph of g. Find the coordinates of point P.

## Answer This Question

## Related Questions

- calculus - 3). The shaded region is bounded by the y-axis and the graphs of y=1...
- Calculus - Find the area of the region bounded by the graphs of the given ...
- math - Determine the area of the region bounded by the given function, the x-...
- calculus - 1. Let S be the region in the first quadrant bounded by the graphs of...
- Calculus Voulme - find the volume of the solid generated by revolving the region...
- calculus - Sketch the region bounded by the graphs of the algebraic functions & ...
- calculus - Use the disk or the shell method to find the volume of the solid ...
- Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...
- calculus - The figure shows the region bounded by the x-axis and the graph of . ...
- calculus - Find the area of the region bounded by the graphs of the algebraic ...

More Related Questions