MA2611 Lecture Notes - Lecture 1: Pain Scale, Destructive Testing, Observational Error

5 points) In class we spoke about numerical data and non- numerical data. Please give an mple of each and explain a method that would be best for describing the data to others les g2 (4 points) Telephone numbers in North America consist of 10 digits (including the area de). How many different telephone numbers are possible, given that the first digit cannot a 0 or 1? 7. (4 pts each) A jar contains seven differently colored balls. If we remove 5 balls, one at a time: a) How many color sequences are possible? ) How many color combinations are possible? 8. (4 pts each) An experiment consists of rolling a die one time. a) List all the elements in the sample space.

3. For each of the functions described below (each continuous on [a, b), state the location of the func- tion's absolute maximum and absolute minimum on the interval a, bl, or say there is not enough information provided to make a conclusion. Assume that any critical values mentioned in the prob- lem statement represent all of the critical numbers the function has in la, bl. In each case, write one sentence to explain your answer. (a) f(x)s0 for all x in [a, b (b) g has a critical value at c such that a0 for xc (c) h (a) = h(b) and h"(x) 0, p(b) 0 forx>c