Help Regarding Calculus Questions
a) Let R be the region bounded by the curves y = x ^2 − 4x + 6 and y = x + 2. Sketch the curve and calculate the volume of the solid generated when R is rotated about x-axis.
b) Compute the volume generated by revolving the region above the curve y = x ^3 , under the line y = 1, and between x = 0 and x = 1, about y-axis.
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