Engineering Calculus Notes 418

# Engineering Calculus Notes 418 - x 2 1 2 + y 2 2 2 + z 2 (1...

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

406 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION x y z Figure 3.40: Vertical sections the “vertices”, or ends of the major and minor axes lie. These are the intersections of our surface with the two vertical coordinate planes (Figure 3.40 ). In Figure 3.41 we sketch the surface 4 x 2 + y 2 + 16 z 2 = 4 which can be expressed more informatively as
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x 2 1 2 + y 2 2 2 + z 2 (1 / 2) 2 = 1; this is called an ellipsoid ; note that the three “axes” of our ±gure (along the coordinate axes) are precisely the square roots of the denominators of the second expression: 1 , 2 , 1 2 respectively. x y z Figure 3.41: Ellipsoid 4 x 2 + y 2 + 16 z 2 = 4...
View Full Document

## This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online