World population growth. From the dawn of humanity to 1830 , world population grew to one billion people. In 100 more years (by 1930 ) it grew to two billion, and 3 billion more were added in only 60 years (by 1990 ). In 2016 , the estimated world population was 7.4 billion with a relative growth rate of 1.13 % . (A) Write an equation that models the world population growth, letting 2016 be year 0 . (B) Based on the model, what is the expected world population (to the nearest hundred million) in 2025 ? In 2033 ?
World population growth. From the dawn of humanity to 1830 , world population grew to one billion people. In 100 more years (by 1930 ) it grew to two billion, and 3 billion more were added in only 60 years (by 1990 ). In 2016 , the estimated world population was 7.4 billion with a relative growth rate of 1.13 % . (A) Write an equation that models the world population growth, letting 2016 be year 0 . (B) Based on the model, what is the expected world population (to the nearest hundred million) in 2025 ? In 2033 ?
World population growth. From the dawn of humanity to
1830
, world population grew to one billion people. In
100
more years (by
1930
) it grew to two billion, and
3
billion more were added in only
60
years (by
1990
). In
2016
, the estimated world population was
7.4
billion with a relative growth rate of
1.13
%
.
(A) Write an equation that models the world population growth, letting
2016
be year
0
.
(B) Based on the model, what is the expected world population (to the nearest hundred million) in
2025
? In
2033
?
Refer to page 100 for problems on graph theory and linear algebra.
Instructions:
•
Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors.
• Interpret the eigenvalues in the context of graph properties like connectivity or clustering.
Discuss applications of spectral graph theory in network analysis.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]
Refer to page 110 for problems on optimization.
Instructions:
Given a loss function, analyze its critical points to identify minima and maxima.
• Discuss the role of gradient descent in finding the optimal solution.
.
Compare convex and non-convex functions and their implications for optimization.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]
Refer to page 140 for problems on infinite sets.
Instructions:
• Compare the cardinalities of given sets and classify them as finite, countable, or uncountable.
•
Prove or disprove the equivalence of two sets using bijections.
• Discuss the implications of Cantor's theorem on real-world computation.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]
Chapter 2 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
University Calculus: Early Transcendentals (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License