p.11.htm, W10/8, Th10/9, Fall 2025, MAT129 Notes

MAT129 Fall 2025 Notes
mathnstuff.com/math/precalc/MAT129fa25/p.11.htm
© 2025 A², Agnes Azzolino
Growth and Decay Applications. Text 6.5, 6.6, 6.7, PG. 537

Welcome to Precalc!

Hi,
This topic began on page 10, the last page. This page provides more blank paper.

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or with the phone number on your class CANVAS home page.: Stay safe, A²

Return to Last Class -- Continuous Growth -- The Whole Amount (Everything) Growing, All the Time
Discrete Growth - Compounding - A Percent or Part of the Whole Growing After A Period of Time
powers of 10 & e
WHY THE FORMULA P(t) = P₀(1 + r/n)^nt
Compound interest computation, APR, compound (discrete) vs. exponential (continuous) interest, linear vs exponential function, ...
History of e
exp.xlsx

"Solve" for e
Input a values for b which you think makes the area under the curve equal to 1. Click. Repeat as needed until the area is 1. b= In order for the integration to work nicely, a base for the log function must be chosen. There is a number to serve as a base. The ideal base is the number that makes the area drawn at the left in red equal to 1. This program permits one to guess at that number, e. The number e is the base of the natural log, ln(x), log_e(x).
Input a values for b which you think makes the area under the curve equal to 1. Click. Repeat as needed until the area is 1. b= In order for the integration to work nicely, a base for the log function must be chosen. There is a number to serve as a base. The ideal base is the number that makes the area drawn at the left in red equal to 1. This program permits one to guess at that number, e. The number e is the base of the natural log, ln(x), log_e(x).

The Logistic Curve - Checked Growth

Height at adulthood based on
birth length and percentiles on logistic curve

The "Bell Curve" --
Probability Distribution of a Normal Curve

Radioactive Decay

Continuous Bacterial Growth

Welcome to Precalc!

"Solve" for e