Worksheet PrintWorksheet 1. A cylindrical container must hold 2L or 2,000 cm^3 of liquid. Find the dimensions of the container which will minimize the amount of material needed. r= 13.65 cm;h= 6.83 cm r= 6.83 cm;h= 13.65 cm
Antiderivatives of Common Functions and the Constant Multiple Rule . . . . . . . . . 83 The Power Rule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 The Sum Ru...
Limits and Derivatives Differential Equation Product Rule Proof Product rule can be proved with the help of limits and by adding, subtracting the one same segment of the function mentioned below: Let f(x) and g(x) be two functions and h be small increments in the function we get f(x +...
Graph the function together with the first and second derivatives. Note: To plot two or more functions together you can use the Maple plot command form plot( [], x = a .. b , v = c .. d, color=[] ); Step 3: To see the hidden maximum and minimum points, you will have to ...
I've been playing with a lot of temperature data lately: you can see a short Python analysis of temperaturesover at my personal blog. At work (at the University of Minnesota) I'm working with some masters' students on research into the finance ofweather derivativesandcatastrophe bonds, so ...
It is not the intent of the worksheet to have students find antiderivatives; it is expected that students will be applying their conceptual understanding to answer the questions rather than applying an algorithmic integration or evaluation process. 42 AP® Calculus: 2006–2007 Workshop Materials ...
Having been assisted with installing the SimCalc software onto their laptops including the SimCalc document used by the teacher in the first lesson. The goal was to identify the first two relations between velocity and position as requested on a worksheet, whose design invited use of the words ...
This part of the problem has very little to do with extrema, but I try to find every opportunity I can to reinforce students' calculator skills. They seem to get lots of practice evaluating definite integrals on the calculator but much less practice evaluating derivatives. 22 © 2010 The ...
You just get velocity vector by taking the derivative of a position vector with respect to time. The basic rule to the derivative of a vector quantity: you can take the derivative of a vector quantity just by taking the derivatives of each component. Let's see what it is for the cycl...