Differential Equations 2

More posts on differential equations Good Question 2: 2002 BC 5 (2-17-2015) A differential equation that cannot be solved by separating the variables is investigated anyway. Most of this question is AB material. A Family of Functions (2-21-2015) Further investigation of the general solution of the equation discussed above in Good Question 2. Most of…

Differential Equations 1

Past posts on differential equations Differential Equations (1-5-2015) The basics and definitions. Domain of a Differential Equation (4-7-2017) notes and examples on finding the domain of the solution of a differential equation. (Updated thru the 2018 exam.) Slope Fields (1-9-2015) Graphical solutions: The solution is lurking in the slope field. Euler’s Method (1-12-2015) Numerical solutions (BC…

Applications of Integration – Accumulation 2

Happy New Year ! A few more links to posts on accumulation. Painting a Point (2-4-2013) Paint often and the paint accumulates. Good Question 6: 2000 AB 4 (8-25-2015) Accumulation Good Question 8 – or not? (1-5-2016) Accumulation Density (1-10-2017) Accumulation and Differential Equations  (2-1-2013) Solving differential equations without the “+C“  Review Notes: Type 1 Questions:…

Applications of Integration – Volume

One of the major applications of integration is to find the volumes of various solid figures. Volume of Solids with Regular Cross-sections  This is where to start with volume problems. After all, solids of revolution are just a special case of solids with regular cross-sections. Volumes of Revolution Subtract the Hole from the Whole and…

Y the FTC?

So, you’ve finally proven the Fundamental Theorem of Calculus and have written on the board: And the students ask, “What good is that?” and “When are we ever going to use that?” Here’s your answer. There are two very important uses of this theorem. First, in words the theorem says that “the integral of a…