# 1330hw4 - MAT 1330 Fall 2011 Assignment 4 Due November 10...

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MAT 1330, Fall 2011 Assignment 4 Due November 10 in the assignment boxes (or Nov 9 in class). Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Robert Smith? Jason Levy 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. Find the derivatives of the following functions. Do not simplify your answers. (a) f ( x ) = cos(3 x ) sin(7 x 3 + 2 x ) f 0 ( x ) = (b) g ( x ) = tan( x 2 ) e 5 x + 1 g 0 ( x ) = (c) h ( x ) = e cos 2 ( x )+3 sin( x 3 ) h 0 ( x ) = (d) w ( x ) = x + 3 ln x + 4 w 0 ( x ) = 1

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Question 2. Find the global minimum and the global maximum of f ( x ) = x - ln x on the interval [0 . 1 , 2]. Global maximum at x = . Global minimum at x = . 2
Question 3. Consider the following DTDS: x t +1 = 1 . 5 x 2 t x 2 t + 0 . 5 . (a) The DTDS has three equilibrium points. Give the equilibrium points in increasing order.

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1330hw4 - MAT 1330 Fall 2011 Assignment 4 Due November 10...

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