For each function, determine the interval(s) of continuity. Justify for each point by: (i) saying which condition fails in the de nition of continuity, and (ii) by mentioning which type of discontinuity it is. For each graph, determine where the function is discontinuous. We can try a few values of this ratio to test this idea. 201-103-RE - Calculus 1 WORKSHEET: CONTINUITY 1. In other words, the function has a vertical asymptote at \(v/c=1\). This Calculus 1 video explains many of the different ways to evaluate limits algebraically that do not involve a graph. Velocity function: a t s(a) s(t) lim t a-. A one-sided limit is a value the function approaches as the x-values approach the limit from one side only. b) When will the book hit the ground (Round to three decimal places) c) Using the velocity function below, find the velocity of the book when t 2. We can see that as the ratio of speeds approaches 1-that is, as the speed of the object approaches the speed of light-the ratio of masses increases without bound. Cook drops his calculus book off of the top of a 220-meter building. \): This graph shows the ratio of masses as a function of the ratio of speeds in Einstein’s equation for the mass of a moving object.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |