valuate the following double integral over the region R by converting it to an iterated integral. Se 4x + 2y dA; R = {(x,y): 0≤x≤ In 2, 1sys In 4} R

Use a change of variables to evaluate the double integral over the region R. 3y – a dA VI – y R R: parallelogram with vertices (0,0), (4, 4), (7,5), and (3, 1)

A. Set up the double integral I (x² + y° )dA where R is the region above R the x-axis bounded by the lines y = x + 1 and y = 1 – x. Draw the region R. SET UP ONLY. DO NOT EVALUATE.

Write a double integral that represents the surface area of  z = f(x, y)  that lies above the region R. Use a computer algebra system to evaluate the double integral. f(x, y) = 8x + y2 R: triangle with vertices (0, 0), (9, 0), (9, 9)