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Sketch a typical level surface for the function.$$f(x, y, z)=y^{2}+z^{2}$$

Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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Sketch a typical level sur…

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in this problem were asked to sketch the typical level surface for the given function and that the equation representing our level curves would be X squared toes. One skirt this clear equals some constant. No, it's important to note here that the level surface is actually a three dimensional bigger, and the values of C are all greater than or equal to zero. So here we can see that AT T equals zero. The level curve will actually be eight point at NARAL 00 the origin. But where ever sees grated and zero then what we have. But a level curl is ah is a sphere centered at the origin so we can pick a value. Percy. Let's the That's X squared plus y squared. He's glared, equals three. And that would give us that's fear. Tentative. The origin with the Radius O. That's good of three. And if I have to sketch this, it's a very rough sketch. Men, look something. Recollect this. We're in a radius. It's good of three

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