Answer to Question #340676 in Calculus for Jane

Question #340676

Direction: Draw and sketch the given function and solve as indicated. Show your



complete solution.



1. Find the area of the region bounded by the curves x=y³ and y=x².



2. Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.



3. Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.



4. Find the area of f(x) = 3+2x-x² above the x-axis.



5. Determine the area to the left of g(y) = 3-y2 and to the right of x = -1



6. Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.

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