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Find the volumes of the solids obtained by | Ch 5 - 15

Single Variable Calculus | 7th Edition | ISBN: 9780538497831 | Authors: James W Nilsson ISBN: 9780538497831 151

Solution for problem 15 Chapter 5

Single Variable Calculus | 7th Edition

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Single Variable Calculus | 7th Edition | ISBN: 9780538497831 | Authors: James W Nilsson

Single Variable Calculus | 7th Edition

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5
Problem 15

Find the volumes of the solids obtained by rotating the region bounded by the curves and about the following lines

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Week one Art History Scriptorium  Monks (not drawing what they saw) o Biblical truth trumps physical reality o World doesn’t matter (not realistic) Medieval Paintings  Progress over time  Lack of interest in detail o No proportion o No depth The classical world: Greeks and Romans  Renaissance­ Rebirth o Writings/ poems o Paintings Sack of Constantinople 1204  Seat of the Roman Empire  Founded by Roman Emperors  Sack caused by Europeans (trickery) Resulted in:  New styles o Humanism  Philosophy that believes that mankind is capable of greatness  Foundation of great democracy  Man…all man have the capability to do great things ******Chapter Objectives*******  Understand the artistic development from the medieval era to the Renaissance period  Define humanism as it is related to the 1300’s in Italy  Understand the role of art as it is related to the church  Define civic virtue  Define the medium of True (buon) Fresco Greek sculpture c. 400 BCE Roman Sculpture c. 30 CE Roman Painting c. 180 CE  The use of Linear Perspective to create believable space o Naturalistic wall paintings o Verismo­ “super real”­ fool the eye Linear Perspective  Mathematical way to create illusion of 3­dimentional space renaissance rediscovers Rise of Humanism  Summa Theologica (1264­1275) *Thomas Aquinas* o Harmonize different approaches to the truth (Christian, Hebrew, Muslim, Pagan) o Use reason to explain Christian teachings= Combines reasons + Faith o Elevates position of man **Petrarch**  Latin Scholar  Vernacular Poet Cimabue c. 1200  Painted on wood  Painted with Tempera Paint o Pigment ground up o Binder to hold paint together (egg yolk) o Thin it with water o Gold leaf  Byzantine Style (Constantinople­­­ known as Byzantium before)  International style o Some byzantine style Successful artists opened workshop/ studio Became a teaching center for new artists Giotto (Cimabue’s student)  Young shepherd in Florence  First painter (modern artist) of the Renaissance o Uses color contrast to show importance o Basis image on natural surrounding **Sin**  Mortal sins: 10 commandments  7 deadly sins: Pride, Envy, Anger, Sloth, Avarice, Gluttony, Lust  Venial sins: Church doctrine life….Food restrictions, sex on feast day  By 1350’s= Purgatory o 1438 it became official doctrine to assist souls through purgatory o Pay to get out of hell…get family out of there  Sell land  Pay for artwork o Give in place of punishment to help loved one in purgatory  Scrovegni Chapel AKA Arena chapel, 1305 o Donated by Enrique Scrovegni o Painted by Giotto  Fresco Paint  Ground Pigment  Water  Wet plaster instead of yolk (more permanent)

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Chapter 5, Problem 15 is Solved
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Textbook: Single Variable Calculus
Edition: 7
Author: James W Nilsson
ISBN: 9780538497831

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Find the volumes of the solids obtained by | Ch 5 - 15