Given the functions f(x) = 2x and g(x) = x 1) Find the points of intersection...

 

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Given the functions f(x) = 2x² and g(x) = x³ 1) Find the points of intersection of the curves and plot the graphs of the functions. 2) Determine the area bounded by the curves in the interval [-1,3] 3) Use the method of disks/rings to determine the volume of the solid obtained by rotating the region (in the first Quadrant) bounded the curves about the line y = -1 Given the functions f(x) = 2x² and g(x) = x³ 1) Find the points of intersection of the curves and plot the graphs of the functions. 2) Determine the area bounded by the curves in the interval [-1,3] 3) Use the method of disks/rings to determine the volume of the solid obtained by rotating the region (in the first Quadrant) bounded the curves about the line y = -1