Evaluate the double integral of 9(3, y) = 4m + 23; over the region B = {(a:,y) | l g m 5 2,32 5 y g 4} shown below. f l; mm = [j Find the volume of the solid below f(x,y) = xy, and above the region between the curves y = m2 and y = 33: Give your answer to 2 decimal places. Evaluate the integral, where R is the region bounded by y = m, y = 3:3, and a: 2 0. [A2(:c2+5y) dA=': 1 7 Given the integral f f em2 do: dy. 0 73; If a: = 73; describes a: as a function of y, then 3; = ' ' describes y as a function of a: If 0 g y g 1, meaning :9 is between the numbers 0 and 1, and if :1: = 73;, then the values of a: can be between two numbers, 5 m g If the order of integration is reversed so that the integral is evaluated first with respect to y, then the limits of integration are as follows: l was ll Now evaluate the integral in any order. Write the answer in exact form. Hint: do we know how to evaluate the integral with respect to a: first? What about with respect to :9 first? [fexsz=| l R _ IA ysl l