Using polar coordinates, evaluate the integral where R is the region . _________

Question

Using polar coordinates, evaluate the integral  where R is the region .

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Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles  and .

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A cylindrical drill with radius 3 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains.

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Let D be the region in the first quadrant of the plane inside the lima

Set up a double integral in rectangular coordinates for calculating the volume of the solid under the graph of the function  and above the plane .

Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy in each box. Then, enter the limits of integration.

    

A =  
B =  
C =  
D =

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