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(Solved): EXERCISE 4. Compute the volume under the function cos(x2+y2) and above the xy plane over the dom ...




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EXERCISE 4. Compute the volume under the function and above the plane over the domain , and are in the first quadrant . EXERcise 5. Compute the iterated integral possibly changing the order of integration.


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(4).

The volume of the solid under the surface    and over the domain D is

  

Where D is the region described by

  

Use polar coordinates :

   ,    then    and   

The region D in polar coordinates is described by

  


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