Math 234-Calculus II Summer 2020
Lab
1 Directions
Go to https://student.desmos.com and type in this lab's code: 2VF Q9N.
1.1 Problem 0
Enter your name and SFA email, I need to know who to give the grades to.
1.2 Problem 1
Find a partition \(P\) of \([0,16]\) and sample points \(C\) so that \(||P|| = 16\), and \(\displaystyle R(f,P,C) = \int_0^{16} f(x)\, dx\). In orange graph the rectangles for the \(R(f,P,C)\).
Hint: This may seem like a very hard problem. Start by understanding the definitions. Think back to the proof of The Fundamental Theorem of Calculus Part 1 and how the Intermediate Value Theorem is used there.