calclec11

calclec11 - tom.h.wilson tom.wilson@mail.wvu.edu Dept....

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1 tom.h.wilson tom.wilson@mail.wvu.edu Tom Wilson, Department of Geology and Geography Dept. Geology and Geography West Virginia University For the 5 th order polynomial you derive you’ll have 6 terms 65432 0 x ax bx cx dx ex fx  you ll have 6 terms. (Upper limit of x) 6 (Upper limit of x) 5 Etc. Tom Wilson, Department of Geology and Geography Enter values here Enter values here
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2 What is the volume of Mt. Fuji? The volume of h f th littl 1 N i i VV N each of the little disks (see below) represents a i V 2 ii i Vr z  Tom Wilson, Department of Geology and Geography 2 1 i i rz max min 2 Z i Z d z 2 rd z r i dz is the volume of a disk having radius i disk having radius r and thickness dz. Area r i Radius Tom Wilson, Department of Geology and Geography max min 2 Z i Z d z =total volume The sum of all disks with thickness dz
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3 22 400 800 400 3 3 zz rk m  Waltham notes that for Mt. Fuji, r 2 can be approximated by the following polynomial 3 2 0 400 800 400 3 3 Vk m To find the volume we evaluate the definite integral Tom Wilson, Department of Geology and Geography 33 3 00 0 400 800 400 3 3 Vd z d z d z   3 2 Vr d z The “definite” solution 3 21 . 5 0 400 800 400 6 1.5 3 z       600 1600 1200 0 Tom Wilson, Department of Geology and Geography 3 200 628 km 
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4 L i L f i L s L f i L L dL L ln f i L L L The total natural strain, , is the sum of an infinite number of
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calclec11 - tom.h.wilson tom.wilson@mail.wvu.edu Dept....

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