Lecture 19, Friday, 10/10/08: Section 13.2: Applications of double integrals

Topics

Applications of double integrals:

Volume under surface
Area of region R
Average value of f(x,y) over a region R
Cumulative totals over a region R given an appropriate density function, e.g.: mass of a lamina, given a mass density function; total population in a region, given a population density
Center of mass, moments M_y and M_x (first moments)
Moments of inertia I_y and I_x (second moments)

Read

Section 13.2. You can skim over the formal derivation of the various formulas (e.g., p. 1047 and 1052), but make sure to carefully study the examples.

Homework

Section 13.2: 1, 5, 13, 15, 27, 37, 43 Solutions.

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Last modified Sat 11 Oct 2008 01:41:58 PM CDT