Quiz (Double Integrals Over Rectangular Regions)

Show all work and justify each step.

(1) Evaluate the double integral:

    (a)    
    
    (b)

(2) Find the volume of the solid region bounded below by the given rectangle in the -plane and above by the graph of the given surface.

    (a) on
    
    (b) on

(3) If is a constant function, say and show that



(4) Show that the iterated integrals

    and   

have different values.

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