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.

  • This is a time consuming problem. Answering this question carefully may take about 30 minutes. You should offer a bounty for this type of questions.

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