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Calculus Volume 1 | 18th Edition | ISBN: 9781938168024 | Authors: Openstax ISBN: 9781938168024 2035

Solution for problem 317 Chapter 4.7

Calculus Volume 1 | 18th Edition

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Calculus Volume 1 | 18th Edition | ISBN: 9781938168024 | Authors: Openstax

Calculus Volume 1 | 18th Edition

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Problem 317

For the following exercises, set up and evaluate each optimization problem.

Find the positive integer that minimizes the sum of the number and its reciprocal.

Step-by-Step Solution:
Step 1 of 3

Chapter 18: The Bizarre Stellar Graveyard  White Dwarfs o What is a white dwarf  A white dwarf is the core of a low or intermediate mass star after it runs out of fuel, and fusion stops. It begins hot and colds slowly over time.  Electron degeneracy pressure keeps White dwarfs from collapsing  No white dwarf has reached the “black dwarf” coolness.  White dwarfs are high density, the more mass, the smaller it is.  Mass of the sun, but the size of the earth  White dwarfs cannot be bigger than 1.4M sun o What can happen to a white dwarf in a close binary system  Mass exchange happens when two stars are close the each other. \  One star dumps mass on the other  Mass falling toward a white dwarf has some angular momentum and this matter orbits the white dwarf in an accretion disk  Friction causes the accretion disk to heat up, and matter falls on the surface of the star  The temperate of the surface becomes hot enough for hydrogen fusion. Fusion begins suddenly and causes a nova.  Nova star system becomes much brighter and causes an explosion that drives the accreted matter out into space.  Two types of Supern

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Chapter 4.7, Problem 317 is Solved
Step 3 of 3

Textbook: Calculus Volume 1
Edition: 18
Author: Openstax
ISBN: 9781938168024

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