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.
3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
Elementary Statistics: Picturing the World (7th Edition)
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