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Question 9: Let D be the region in the space that lies inside the sphere I2+y2+{z1}2 = 1 and above the plane 5: =1. 1.

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Question 9: Let D be the region in the space that lies inside the sphere I2+y2+{z1}2 = 1 and above the plane 5: =1. 1. Sketch the region D. 2. Set up a triple integral representing the volume of the region D in spherical coordi nates. Question 1|]: Let D be the solid region inside the cylinder 32 + y? = 4 bounded from belov.r by z = 4 $2 y? and from above by the plane 2 = 4 . 1. Sketch D and set up triple integrals in rectangular and cylindrical coordinates [se- parately] representing the volume of D. 2. Find the volume of D using one of triple integrals in part 1]. Question 11: Let D be the region :1 E $2 + y? + .22 E 2. Find the volume of D. Question 12: Evaluate ff 1'! I +21; dA where D is the region in BE bounded by I+y = D I- y 1' 13; = and y = 5 using the transformation 1:. = :r + y and v = I 2y. Question 13:Set up the integral of the volume of the solid that lies from above by I: + y? + {z 2):: = 4 from below by I: + y2 + [z 1}2 =1 and inside 2 = 1H1? + y\

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