If the perceived star density is given by y s where s

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: n is an arbitrary positive integer. (c) Prove your guess using mathematical induction. 61. (a) Show that x x d x is divergent. about 700 hours but, of course, some bulbs burn out faster than others. Let F t be the fraction of the company’s bulbs that burn out before t hours, so F t always lies between 0 and 1. (a) Make a rough sketch of what you think the graph of F might look like. (b) What is the meaning of the derivative r t F t? (c) What is the value of x0 r t dt ? Why? 68. As we will see in Section 9.4, a radioactive substance decays (b) Show that t lim y x d x tl s exponentially: The mass at time t is m t m 0 e kt, where m 0 is the initial mass and k is a negative constant. The mean life M of an atom in the substance is 0 t This shows...
View Full Document

This note was uploaded on 12/27/2013 for the course MATHEMATIC 135 taught by Professor Lam during the Fall '07 term at University of Toronto.

Ask a homework question - tutors are online