You are considered the first generation, your parents are considered the second generation, your grandparents are considered the third generation, etc. Assuming there is no incest in your family tree, the number of generations in the past, g, is a function of the number of total ancestors, A, you have back to and including generation G. The formula below gives the relationship between G and A: G= log2(A + 2) For example, if you have 6 ancestors, then G = log2(6+ 2) = log28 = 3, meaning that at the third generation you have 6 ancestors (your parents and your grandparents). %3D How many generations is represented by 30 ancestors? (b) How many total ancestors have you had in the last 9 generations?

You are considered the first generation, your parents are considered the second generation, your grandparents are considered the third generation, etc. Assuming there is no incest in your family tree, the number of generations in the past, g, is a function of the number of total ancestors, A, you have back to and including generation G. The formula below gives the relationship between G and A: G= log2(A + 2) For example, if you have 6 ancestors, then G = log2(6+ 2) = log28 = 3, meaning that at the third generation you have 6 ancestors (your parents and your grandparents). %3D How many generations is represented by 30 ancestors? (b) How many total ancestors have you had in the last 9 generations?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

You are considered the first generation, your parents are considered the second
generation, your grandparents are considered the third generation, etc. Assuming
there is no incest in your family tree, the number of generations in the
g, is a function of the number of total ancestors, A, you have back to and
including generation G. The formula below gives the relationship between G and A:
past,
G= log:(A + 2)
%3D
For example, if you have 6 ancestors, then G = log2(6 + 2) = log28 = 3, meaning that at
the third generation you have 6 ancestors (your parents and your grandparents).
%3D
-) How many generations is represented
by 30 ancestors?
(b) How many total ancestors have you had
in the last 9 generations?
(d) A generation is usually considered to
be about 30 years. Using this definition,
how many total ancestors did you have
back to the year 1420 ?
c) Solve for formula for A in terms of G.
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