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# hw19 - and Δ A = 4 so we estimate HW 19 Double...

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12/14/11 HW 19 : Double Integrals (15.1-2). 1/6 www.webassign.net/web/Student/Assignment-Responses/last?dep=3284551 Current Score : 20 / 20 Due : Friday, October 14 2011 11:10 PM EDT 1. 1.53/1.53 points | Previous Answers SCalcET6 15.1.001.MI. (a) Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. V = 864 864 (b) Use the Midpoint Rule to estimate the volume of the solid in part (a). V = 576 576 Solution or Explanation (a.) The subrectangles are shown in the figure. The surface is the graph of
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Unformatted text preview: and Δ A = 4, so we estimate HW 19 : Double Integrals (15.1-2). (Homework) Rachel Pereira MA 261 Fall 2011, section 031, Fall 2011 Instructor: Jonathan Montano Web Assign The due date for this assignment is past. Your work can be viewed below, but no changes can be made. R = ( x , y )| ≤ x ≤ 6 , 6 ≤ y ≤ 10 f ( x , y ) = xy V ≈ Δ A = f ( 2 , 8 ) Δ A + f ( 2 , 10 ) Δ A + f ( 4 , 8 ) Δ A + f ( 4 , 10 ) Δ A + f ( 6 , 8 ) Δ A + f ( 6 , 10 ) Δ A = 16 ( 4 ) + 20 ( 4 ) + 32 ( 4 ) + 40 ( 4 ) + 48 ( 4 ) + 60 ( 4 ) = 864 3 i =1 2 f ( x i , y i ) j =1 Assume: a = 10 b = 8 c = 2 d = 4 e = 6...
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