# 3 the functions f and g are given by f x x and g x

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: of problems— 4 No calculator is allowed for these problems. 3. 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 above. (a) Find the area of R. (b) 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. (c) 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. 4. Consider a differentiable function f having domain all positive real numbers, a...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online