Math 006 - Introduction to Calculus

Math 006 - Handout for Week 6

(1) Questions?
(2) Mid term 7.15 - 8.15
Break - 20 minutes
(3) Short lecture on sections 4.1, 4.2 of text book Where are the max and min values of a function? Where is a function increasing or decreasing? critical values Method of finding absolute max and min on an interval

Homework (not to be handed in)	Assignment Due date: Wednesday 11 March.
Ex 3.5 Page 245, 4 Ex 4.1 Page 171, A Ex 1, B Ex 2.a,c, Ex 4.b Ex 4.2 Page 176, A Ex 1, B Ex 2.d, Ex 3.a,b,k, Ex 4.a,b,c,h Ex 4.3 Page 182, B Ex 1	Find the absolute maximum and minimum values of the following functions on the given ranges: (1) 3x + 1 on [-2,1] (2) x² - 4x + 1 on [0,5] (3) -x³+12x + 4 on [-4,4] (4) 3x⁵ - 25x³ + 60x + 10 on [-2,3] (5) (x+1)² on [0,1] (State the values both x and f(x) at the extreme values)

There will be a quiz next week, similar to the assignement questions for this week, for example, like the following question:

(i)Find the critical values of the function 6x⁵ -10x³
(ii)What are the absolute maximum and minimum values of this function on the interval [0,2]? Office hour and Tutorial times
Office Hours for Lecturer: (room Jeff 401) Wednesday: 2.30 - 4.40 Thursday : 2:30-3:30
Office Hours for TA: (room Jeff 222) Monday, 2.30-4.30, Tuesday 3:30-4:30
Tutorial Time (room Jeff 116): Tuesday 2:30-3:30
Note, Overheads can be found on reserve in Douglas library, and outline of course, and marks, on line at
http://www.mast.queensu.ca/~helena/math006/