2313-practice-mid4

2313-practice-mid4 - MAC 2313, Fall 2010 — Midterm 4...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: MAC 2313, Fall 2010 — Midterm 4 Review Problems 1 We will discuss these problems in class on Monday 11/15. Solutions will be posted on the course webpage over the weekend. 1 A bounded region in the first octant of 3-dimensional Euclidean space has the surface x + y + z 2 = 1 as part of its boundary. The remainder of its boundary is given by portions of the places x = 0, y = 0, and z = 0. Compute the triple integral of z over this region in space. (You should probably begin by sketching this region.) 2 Let R denote the portion of the unit ball { ( x,y,z ) : x 2 + y 2 + z 2 ≤ 1 } that lies inside the solid cone { ( x,y,z ) : z ≥ radicalbig x 2 + y 2 } . Compute the volume of R with triple integrals in both cylindrical and spherical coordinates. 3 Let R denote the portion of the unit ball { ( x,y,z ) : x 2 + y 2 + z 2 ≤ 1 } that lies inside the prism { ( x,y,z ) : x ≥ 0, y ≥ 0, and x + y ≤ 1 } . Set up a triple integral to compute the volume of R ....
View Full Document

This note was uploaded on 12/10/2011 for the course MAC 2313 taught by Professor Keeran during the Fall '08 term at University of Florida.

Page1 / 2

2313-practice-mid4 - MAC 2313, Fall 2010 — Midterm 4...

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