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Determine the average value of the function $(x, y)$ over the region $R$.$f(x, y)=4 x^{2} y, R$ is the region in Exercise 17.

$$\frac{188}{35}$$

Calculus 3

Chapter 6

An Introduction to Functions of Several Variables

Section 6

Double Integrals

Partial Derivatives

Johns Hopkins University

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

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.

04:14

02:11

Compute the average value …

02:24

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