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1) Double Integrals over Rectangular Regions: a. If R = [-2.2]x(0.2). use a Riemann sum with sample points as the upper right corners of each

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1) Double Integrals over Rectangular Regions: a. If R = [-2.2]x(0.2). use a Riemann sum with sample points as the upper right corners of each square, and dividing R into 8 squares with m = 4 and n = 2 to estimate the value of If. (4-x + y)4. Please show all work. b. Find the exact volume of this solid region by evaluating the iterated integral JJ (4 x* + >). 3) Set up (but do not evaluate) an integral to find the volume of the solid that is under the surface z = 1 + xy and above the region enclosed by x = >" and x = 4 in the xy-plane . Clearly document your work. Make sure to include your units and include complete sentences where necessary. Please box/highlight your answers. 1) A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write (), /(x, y) dA as an iterated integral, where f is an arbitrary continuous function on R. Text Predictions: On Accessibility: Unavailable Q Search 75 SCHeig Picture Effects ~ Served Selection HE Groups Alt Position Wrap Crop Wid ) . where & is the region that lies to the left of the y-axis between the circles x2 + y= = 1 and x" + y' = 4, by changing to polar coordinates. x - -2 Add to graph Select Outside Me) =2 O Number of Gradlines (no ) 11. 25 SD Top (xji = xy FOCUS 9 W

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