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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 6.4 - Problem 8
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 6.4 - Problem 8

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# Solution: 514. Shell method Let R be the region bounded by

ISBN: 9780321947345 167

## Solution for problem 8 Chapter 6.4

Calculus: Early Transcendentals | 2nd Edition

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Problem 8

514. Shell method Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the y-axis. y = 6 - x, y = 0, x = 2, and x = 4 0 2 4 x y R y _ 6 _ x

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03/21/16 Rembrandt van Rijn Self­Portrait with Saskia 1636 Etching  Double portrait of married couple Rembrandt The Company of Captain Frans Banning Cocq (The Night Watch) 1642 Oil on Canvas  Shows the “defensive” musketeer group protecting Amsterdam, the people have become more of a social group 03/23/16 Vermeer Allegory of the Art of Painting 1666­69 Oil on canvas  Woman represents Clio (the muse of history)  Self reflective painting (not necessarily Vermeer in the painting though)  Alluding to history painting in the genre painting (painting focused on everyday life) o Genre painting is seen as less important/serious than history painting or portraiture  Map of the New Republic of Holland (where this was painted) from the 18 century (when this was painted) Rubens: heavy influence on the Rococo movement (Rubenists) Poussin: heavy influence on the Neo­Classical (Poussinists) Watteau Return from Cythera / Pilgrimage to Cythera 1717 Oil on canvas  Fête Galante genre: landscape with figures wearing more stylish/fancy clothing o Genre created specifically to describe Watteau’s painting style  Painterly almost abstract landscape elements with more detail in the figures  Statue of Venus on the right side with roses adorning it  Carving of a siren on the front of the boat to the left (sirens are the daughters of Venus) o Also shows the good and bad aspects of love Fragonard The Swing 1766 Oil on canvas  Similar characteristics to the previous work o Landscape o Fancier dress o Statues

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