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Unformatted text preview: 4. f ( x ) = cos x (1 + sin x ) 2 . i) True . Critical point at x = / 2 only. ii) True . f ( / 2) =1 / 8 so a local max at x = / 2. Since it the unique critical point in the interval, it is also global. iii) True . As x 3 / 2 , the numerator of f ( x ) oes to1 and the denominator goes to zero. Therefore, f ( x ) goes to and there is no abs. min. Therefore, E) is the answer. 5. H ( x ) = (40 + 5 x )(202 x ) . i) True . H is quadratic. ii) False . H has negative leading coecient. iii) False . H ( x ) =10 x 2 + 20 x + 800 and so H ( x ) =20 x + 20 . Therefore x = 1 . Therefore, A) is the answer....
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This note was uploaded on 03/30/2008 for the course MATH 140B taught by Professor Fabbri,marc during the Fall '07 term at Pennsylvania State University, University Park.
 Fall '07
 FABBRI,MARC
 Critical Point, Quotient Rule

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