71. Archimedes’ area formula for parabolic arches Archimedes (287–212 b.c.), inventor, military

Kaan Lee
Kaan Lee
404 بار بازدید - 2 سال پیش - Chapter 5.4 THE FUNDAMENTAL THEOREM
Chapter 5.4 THE FUNDAMENTAL THEOREM OF CALCULUS ex71
數學系卡安很閒 所以決定拯救沒辦法用quizlet和chegg的莘莘學子
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71. Archimedes’ area formula for parabolic arches Archimedes (287–212 b.c.), inventor, military engineer, physicist, and the greatest mathematician of classical times in the Western world, discovered that the area under a parabolic arch is two-thirds the base times the height.
Sketch the parabolic arch y = h - (4h/b^2)x^2 , -b/2 ≤ x ≤ b/2, assuming that h and b are positive. Then use calculus to find the area of the region enclosed between the arch and the x-axis.
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