I'd like to give my Calculus 1 class periodic multiple choice questions that really test conceptual understanding. the width is delta x, of course because that didnt change. So now, like what Sal did, I wrote the math notation for the sum of the boxes, the sum (sigma) (from i1 to n) of the height (f (x sub i)) times the width (delta x). Ideally, I'd like these questions to require very little computation. I know that a lot of textbooks have true false questions, which I like, but I'm hoping to find a source of questions with more than two possible answers. This AP Calculus AB test contains 45 multiple-choice questions and 6 number.Which of the following statements must be true? Suppose that $f(x)$ and $g(x)$ are such that $f'(x)>g'(x)$ for all real $x$. The graphs of $f$ and $g$ intersect exactly once.
The graphs of $f$ and $g$ may intersect any number ofįor a student who understands the derivative well, this question could be answered in under one minute with absolutely no computations.Īnyone know of a good source to find a bank of such questions? It would be ideal if the TeX code was available too, or if the problems were already encoded into WeBWorK or some other online homework system.The graphs of $f$ and $g$ do not intersect.The graphs of $f$ and $g$ intersect no more than once.4 subintervals of equal length (C) Right Riemann sum approximation of () 3 1.
