 # 2) The basic side of a prism is the triangle in the xy-plane, which...

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2) The basic side of a prism is the triangle in the xy-plane, which is limited by the x-axis and the lines y=x and x=1. The upper limit of the prism is the plane z= f(x,y)=4-x-y. Calculate the volume of the prism. Note: First draw the triangle and integrate f over the triangle. 3) Calculate the integral where D R R2 is the area in the plane which is limited by the parabola y = x2 and the line y= 6-x. Note: First draw D and determine the point of intersection between the line and the parabola to calculate the integral. A geometric solid is below the surface Z = 15 x2 y2 and above the area D, whichis limited by the x-axis, the line 5) y = 4x-2 and the curve y = 2vx. Calculate the volume of the solid.

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