The total number of ancestors that an individual has going back 12 generations, if first generation have 2 parents, second generation have 4 grandparents, third generation have 8 great grandparents. The terms of the sequence 2 , 4 , 8 , 16 , .... give the additional number of ancestors for each generation back on time. 1 st Generation 2 nd Generation 3 rd Generation 2 parents 4 grandparents 8 great-grandparents
The total number of ancestors that an individual has going back 12 generations, if first generation have 2 parents, second generation have 4 grandparents, third generation have 8 great grandparents. The terms of the sequence 2 , 4 , 8 , 16 , .... give the additional number of ancestors for each generation back on time. 1 st Generation 2 nd Generation 3 rd Generation 2 parents 4 grandparents 8 great-grandparents
Solution Summary: The author calculates the total number of ancestors that an individual has going back 12 generations.
To calculate:The total number of ancestors that an individual has going back 12 generations, if first generation have 2 parents, second generation have 4 grandparents, third generation have 8 great grandparents. The terms of the sequence 2,4,8,16,.... give the additional number of ancestors for each generation back on time.
(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}.
Calculate the integral
f(x, y, z) dv.
E
(12 points) Let
E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}.
(a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such
that
(x, y, z) (psin cos 0, psin sin 0, p cos) € E.
(b) (8 points) Calculate the integral
E
xyz dV using spherical coordinates.
(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}.
Calculate the integral
y,
f(x, y, z) dV.
Elementary Statistics: Picturing the World (7th Edition)
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