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A spherical planet of radius $R$ has an atmosphere whose density is $\mu=\mu_{0} e^{-c h},$ where $h$ is the altitude above the surface of the planet, $\mu_{0}$ is the density at sea level, and $c$ is a positive constant. Find the mass of the planet's atmosphere.

$\frac{4 \pi \mu_{0}}{c^{3}}\left(c^{2} R^{2}+2 c R+2\right)$

14:30

Carlos P.

Calculus 3

Chapter 15

Multiple Integrals

Section 7

Triple Integrals in Cylindrical and Spherical Coordinates

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

04:18

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. The area above the x-axis adds to the total.

26:18

In mathematics, a double integral is an integral where the integrand is a function of two variables, and the integral is taken over some region in the Euclidean plane.

06:47

Mass of planet's atmo…

01:01

Find the mass of a spheric…

10:08

A planet is in the shape o…

02:59

00:38

A spherical planet far out…

08:00

Density of center of a pla…

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