Tuesday
March 31, 2015

Homework Help: calculus

Posted by sarah on Tuesday, May 20, 2008 at 12:05am.

let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4.

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 pound.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

math - let R be the region bounded by the graphs of y = sin(pie times x) and y...
Calculus AB - Let R be the region bounded by the graphs of y=sin(pi x) and y=(x^...
calculus - 1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x...
Calculus - Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. ...
calculus - find the volume of the solid formed by revolving the region bounded ...
Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...
calculus - Let A be the bounded region enclosed by the graphs of f(x) = x , g(x...
calculus - Sketch the region bounded by the graphs of the algebraic functions & ...
calculus - FInd the area of the region bounded by the graphs of y= 3x^2+1 , y=0...
calculus - Find the area of the region bounded by the graphs f(x)=sqrt(3x)+1, g(...

Members