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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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This note was uploaded on 04/22/2011 for the course MATH 212 taught by Professor Owens during the Winter '07 term at Grand Valley State University.
- Winter '07