hw15 - not the Fundamental Theorem of Calculus) to compute...

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Math 2250 HW #15 Due 1:25 PM Friday, December 2 Reading: Strogatz “It Slices, It Dices” ( http://opinionator.blogs.nytimes.com/2010/04/18/ it-slices-it-dices/ ), paying particular attention to Note 11; Hass § 5.3–5.5 Problems: Do the assignment “HW15” on WebWork. In addition, write up solutions to the following problems and hand in your solutions in class on Friday. 1. Graph the function f ( x ) = 1 + 1 - x 2 and use some geometry (and
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Unformatted text preview: not the Fundamental Theorem of Calculus) to compute the denite integral Z 1-1 1 + p 1-x 2 dx. 2. Using properties of the denite integral, show that if f ( x ) 0 for all x in the interval [ a,b ], then Z b a f ( x ) dx . In other words, the denite integral of a non-negative function is non-negative. 3. Compute the denite integral Z 1 2 (cos x + | cos x | ) dx. 1...
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