assign5-10

# assign5-10 - x =,lim x →∞ f x =(i The equation(s of the...

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MAT 1330, Fall 2011 Assignment 5 Due by Thursday November 10, or in class November 9. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Jason Levy Robert Smith? Olga Vassilieva Catalin Rada DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Consider the function f ( x ) = x - 4 x 2 . Follow these steps to graph the function. (a) The domain of f is (b) The x -intercept(s) of f are (c) The derivative of f is f 0 = (d) The critical point(s) of f are 1

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(e) The second derivative of f is f 00 = (f) The point(s) of inﬂection are (g) Find lim x 0 + f ( x ) = , lim x 0 - f ( x ) = (h) Find lim x →-∞ f

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Unformatted text preview: ( x ) = ,lim x →∞ f ( x ) = (i) The equation(s) of the vertical asymptote(s) (j) The equation(s) of horizontal asymptote(s) 2 (k) The graph of f is Question 2. Consider the function f ( x ) = x 2 + cos( x ). Follow these steps to graph the function over the interval [0 ,π ]. (a) The derivative of f is f = (b) The critical point(s) of f are 3 (c) The second derivative of f is f 00 = (d) The point(s) of inﬂection are (e) Find f (0) = , f ( π 6 ) = Find f ( π 2 ) = , f ( 5 π 6 ) = Find f ( π ) = (f) The graph of f is Question 3. Find all local maxima and minima (if any) and all inﬂection points of the function f ( x ) = xe 2011 x . 4...
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## This note was uploaded on 12/19/2011 for the course MAT 1330 taught by Professor Dumitriscu during the Fall '08 term at University of Ottawa.

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assign5-10 - x =,lim x →∞ f x =(i The equation(s of the...

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