View the step-by-step solution to:

# let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4x. a) find the area of R b) the horizontal line y = -2 splits the...

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4x.
a) find the area of R
b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is below this horizontal line.
c) The region R is the base of a solid. For this solid, each cross section perpendicular to x-axis is a square. Find the volume of this solid.
d) the region R models the surface of a small pond. At all points in R at a distance x from the y-axis, the depth of the water is given by h(x)=3-x. find the volume of the water in the pond.

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents