calc FRQ 5 - (0,1) according to the definition of local...

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5. (dy/dx) = (1/2)x + y – 1 a) b) (d^(2)y/dx^(2)) = (1/2) + (dy/dx) – 0 = (1/2) + (1/2)x + y -1 = -(1/2) + (1/2)x + y y= (1/2) – (1/2)x c) f(0) = 1 (dy/dx) = (1/2)x+ y – 1 (0,1) 0+1-1 = 0 (d^(2)y/dx^(2)) = (-1/2) + (1/2)x + y (0,1) (-1/2) + 0 + 1 > 0 Because the second derivative of f is greater than 0, thus f has a relative minimum at
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Unformatted text preview: (0,1) according to the definition of local extreme values. d) y= (-1/2) x + (1/2) y= m x+ b m= (-1/2) b= 1. According to the local extreme value theorem, when the second derivative of some function is greater than 0, is it a _________ A) relative maximum B) point of inflection C) relative minimum D) absolute maximum 2....
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This note was uploaded on 01/09/2012 for the course MATH 101 taught by Professor Thompson during the Spring '11 term at Aachen University of Applied Sciences.

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calc FRQ 5 - (0,1) according to the definition of local...

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