Question: Part 3- Using the graphic below as a different region defined on the xy-plane:Calculate the VOLUME of the solid formed by the functionf(x,y)=z=x3+2xy-2x-4y hovering over
Part 3- Using the graphic below as a different region defined on the xy-plane:Calculate the VOLUME of the solid formed by the functionf(x,y)=z=x3+2xy-2x-4y hovering over the givenregion. (16pt)Using the figure above, determine the length of the combinedboundaries, inside and out, with answer rounded to a two-placedecimal. (10pt) Line segment 1(blue)goes from point (-4,0)to point (0,4).Line segment two (green)goes from point (-1,0)to point (0,2).This forms region 1between these lines. Line segment three (yellow)goes from point (-4,0)to point (0,-4).Line segment four (cyan)goes from (-1,0)to(0,-2).This forms region two between these lines. This completes the regions on the left side of the y axis. Segment five (red)is a semi circle starting from (0,4)and(0,-4)with a radius of four. Segment six (purple)is a semi circle starting from (0,2)and(0,-2)with a radius of2.
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