Question: Question Two [4 marks]Let V=-2204-y2-xxxdzdxdy.a) Calculate V.b) Write V using one or more triple integrals with respect to drdyds.Question Three [4 marks]Let R be the
Question Two [4 marks]Let V=-2204-y2-xxxdzdxdy.a) Calculate V.b) Write V using one or more triple integrals with respect to drdyds.Question Three [4 marks]Let R be the region inside the sphere x2y2z2=4, but outside the double cone formed by z2=4x24y2.a) Represent the volume of R using triple integrals in cylindrical coordinates. You do not need to evaluate the integral.b) Represent the volume of R using triple integrals in spherical coordinates. You do not need to evaluate the integral.Question One [2 marks]Write a double integral in Cartesian coordinates that gives the volume of the region in the first octant bounded by the planes x2y324=1,x2y3-(x-1)=1,x=0 and y=0(and no other planes). You do not need to evaluate the integral.
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