This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Now piece your shapes together to draw the function h ( x ) below. Label all intercepts, local extrema, inﬂection points, removable discontinuities, and asymptotes. 2. If a metal cable of radius r is covered by insulation so that the distance from the center of the cable to the exterior is R , the velocity of an electrical impulse through the cable is: ν =cx ln( x ) for some positive constant c , where x is the ratio of r to R (i.e., x = r R ). Use some of the techniques learned so far to sketch a graph of the function ν ( x ) . (To evaluate lim x → + ν ( x ) , use L’Hˆopital’s Rule; if you have trouble with the c , take c = 1 .) Looking at your graph, what ratio x yields the maximum velocity for the impulse? How can you tell this just from your number line for the derivative ?...
View
Full
Document
This note was uploaded on 05/27/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Calculus, Asymptotes

Click to edit the document details