Question: 1. Let E be the region bounded below by my plane: above by the sphere 1'2 + y2 + 32 = 4, and on the

1. Let E be the region bounded below by my plane: above by the sphere 1'2 + y2 + 32 = 4, and on the sides by the cylinder :32 + 3:2 = 1. Set up a triple integral in cylindrical coordinates to nd the volume of the region using the following order of integration: dzdrd' 2. Use the transformation 1:. = I | y, 1* = r y to nd [f (I mews 4:3} 1iWhere R is the rectangular region enclosed by the lines I + y = {1. r | y = 1, :ry: 1:173:24. BRAC a MAT 120 University .w.-. SET: 12 3. Separate r and y variables and then solve the boundaryr value problem while y(1] = 1= 4. Find the general solution of the following differential equation given that y(1] = 5 [Hint: introduce integrating factor on the process of your calcu- lation]: I=2y2 {5}

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