Resources
Math 3 Course Home Page
Math 3 Course Syllabus
Practice Exams
Textbook Home Page
Post a Comment

Contents
In this lecture we consider a realworld application of modeling with accumulations by developing a case study on river flooding. This material is the extended application and culmination of our work in lectures 2126.
Quick Question
What is the approximate area under the graph of the function 1/(1 + x) on the interval [0,1] using the two inscribed rectangles on the intervals [0,1/3] and [1/3,3/4]? (You need not simplify your answer.)
Answer
Outline
Outline for
Case Study: Flood Watch
Textbook
Case Study: Flood Watch
Today's Homework
Log into WebWorK
Quiz
Case Study: Flood Watch Quiz
Examples
 Calculate the centroid of the region between the curves f(x) = x^{2} + 2 and g(x) = 2x + 5 for x in the interval [–1, 3].
 A certain river has rainfall discharge data and rainfall recorded during and after a storm. Find the base flow of the river, the total volume of rainfall discharge, and the lag time between the rainfall event and the rainfall discharge.
 A flower grows at varying rates, measured at the beginning of each month and halfway through each month, according to a chart. What is the approximate height of the flower after three months? Consider a second flower that requires fertilizer to grow, and compute the lag time between the application of fertilizer and the flower's growth.
Applets

Flood Watch
Videos

Find the x coordinate of the centroid
of the region bounded by y = 0, y = x^{2}, x = 0, x = 1

Find the y coordinate of the centroid
of the region bounded by y = 0, y = x^{2}, x = 0, x = 1
