WS2 - Math 152 Workshop 2 Spring 2011 1 Let R be the parabolic region in the x-y plane bounded below by the curve y = x2 and above by the line y =

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 152 Workshop 2 Spring 2011 1. Let R be the parabolic region in the x - y plane bounded below by the curve y = x 2 and above by the line y = 1. (a) Sketch R . Set up and evaluate an integral that gives the area of R . (b) Suppose a solid has base R and the cross-sections of the solid perpendicular to the y -axis are squares. Sketch the solid and find its volume. (c) Suppose a solid has base R and the cross-sections of the solid perpendicular to the y -axis are equilateral triangles. Sketch the solid and find its volume. 2. Start with the region A in the first quadrant enclosed by the x -axis and the parabola y = 2 x (2 - x ). Then obtain solids of revolution S 1 , S 2 , and S 3 by revolving A about the lines y = 4 , y = - 2 , and x = 4 respectively. All three solids are (unusual) “doughnuts” which are 8 units across, whose hole is 4 units across, and whose height is 2 units. Sketch them. (a) Which do you expect to have larger volume,
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/10/2012 for the course CALCULUS 152 taught by Professor Sosa during the Spring '11 term at Rutgers.

Page1 / 2

WS2 - Math 152 Workshop 2 Spring 2011 1 Let R be the parabolic region in the x-y plane bounded below by the curve y = x2 and above by the line y =

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online