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2-4 - 2­4.notebook 2­4 Finding maximum(maxima and...

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Unformatted text preview: 2­4.notebook November 18, 2010 2­4 Finding maximum (maxima) and minimum (minima) given f(x) = ax2 + bx + c max/min is vertex: x = ­b/(2a) Ex. parabola f(x) = 2x2 ­ x + 4 opens up so vertex is a min. (1/4, 31/8) Oct 8­10:37 AM Finding max/min with quadratics Ex.1 A rectangular dog pen is constructed using a barn wall as one side and 60m of fence for the other 3 sides. Find dimensions of pen that give the greatest area and find the area. Draw picture to help. Oct 8­10:41 AM 1 2­4.notebook November 18, 2010 Ex. 2 Two numbers have a difference of 6. Find their minimum possible product. H.W. p.70 class exercises 1­4 written exercises p.71 1­3 Oct 8­10:45 AM Finding max/min using cubics and calculator Ex. 1 A rectangular piece of sheet metal measures 6 in. by 10 in. Squares with side of length x are cut from the corners. The metal is folded to make an open ­ top box. What is maximum volume? Oct 8­10:48 AM 2 2­4.notebook November 18, 2010 Ex. 2 An open box is to be formed by cutting squares from a square sheet of metal 10 cm. on a side and then folding up the sides. a. What is the max. volume? H.W. pp.72 ­ 73 1c, 2c, 3c, 4c Oct 8­10:56 AM 3 ...
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