a7 - University of Toronto at Scarborough Department of...

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Unformatted text preview: University of Toronto at Scarborough Department of Computer & Mathematical Sciences MATA33 Assignment 7 Winter 2008 Quiz 7 is based on this assignment and the relevant text readings and lecture notes. Quiz 7 will be written in the 8th tutorial, which takes place during the week of March 10 - 14. Study: Sections 17.3 and 17.4 for this assignment (reviewing sections 17.1 and 17.2 would be useful too). Read ahead in Sections 17.5 and 17.6. Problems: 1. Section 17.3, Pages 759 - 761 # 1, 2, 4 - 10, 14, 18 - 20. 2. Section 17.4, Page 763 # 1, 2, 5, 6, 10, 11, 13, 14, 16, 19. 3. Find the equation of the horizontal plane that is tangent to the graph of the function z = G ( x,y ) = x 2- 4 xy- 2 y 2 + 12 x- 12 y- 1 . (Hint: review the general form of a plane in 3-dimensional space as stated at the bottom of page 748). 4. Let P ( x,y ) = xy ax + by where P represents profit; x,y > 0 represent sales of products X and Y (respectively); and a,b > 0 are constants. Show that the sum of the marginal profits when0 are constants....
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This note was uploaded on 08/14/2011 for the course MATH a32 taught by Professor G during the Spring '11 term at University of Toronto- Toronto.

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