Test3 - Name: __________________________ Calculus Test #3...

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Unformatted text preview: Name: __________________________ Calculus Test #3 (Chapter 4) 1. (15 pts.) a) A student was trying to use Newtons Method to find the root of the function graphed below. No matter what nonzero value the student chose for 1 x , he could never get the right answer. Explain, using the picture below, why the student was never able to get an answer. 1b) Use Newtons Method to find the first 2 approximations ( 2 x and 3 x ) of the roots of the equation 5 ) ( 2- = x x f , using 2 1 = x . Write your answer for 3 x rounded to 4 decimals. 2. (10 pts.) Use Calculus to find the absolute maximum and the absolute minimum values of 5 9 3 ) ( 2 3 +- + = x x x x f on the interval [-3,5]. 3. (10 pts.) Sketch the graph of a single continuous function f with domain ( , )- such that all of the following hold simultaneously. Note that f is defined for all real numbers including x = . ( ) f x for all x....
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Test3 - Name: __________________________ Calculus Test #3...

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