Calculus 3 question chapter 15 number 1 from Calculus:Early transendials 8e

This question has several palts that must he completed sequentially. If you skip a part of the question, you will not receive any pains for the skipped part, and you will not be able to some back to the skipped part. Estimate the volume of the solid that lies below the surface 1 = xy and above the following rectangle. R={(x,y)|15xs7,35ys7} _ Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right oorner of each square. We are requested to usem = 3 and n = 2 over the rectangle R = {(X, y) | 1 s X s 7, 3 s y s 7} The subrectangles are, therefore, as follows. y (La) 3 2 We can estimate the volume of the given solid using the Riemann sum 2 Z xi, yj)AA, with i= 1 j = 1 RX. y) = xy. Since15x57andm=3,thenAx= ,andsince3Sys7andn=2,thenAy= . Consequently, we have (bl Use the Midpoint Rule to estimate the volume of the solid. CIM hale h b_sglnl