Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi (3.14) to get the final answer.Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.Determine the area of region bounded by ? = x^2 and ? = 2x -x^2 Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about the x-axis.Determine the area of region by ? = x^2 + 4x and the y - axis.Find the volume of the solid obtained by rotating the region bounded by y= x^2, y = 4 and the y - axis about the y-axis.Determine the volume of the solid obtained by rotating the region bounded by y= x - x^3, x = 0, x = 1 and the x - axis about the y-axis.

Note: As per the guidelines we are supposed to answer only 3 subparts question. For the remaining…

Answered: Find the area of the region bounded by…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 52AR

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Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi (3.14) to get the final answer.

Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.
Determine the area of region bounded by ? = x^2 and ? = 2x -x^2
Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about the x-axis.
Determine the area of region by ? = x^2 + 4x and the y - axis.
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y = 4 and the y - axis about the y-axis.
Determine the volume of the solid obtained by rotating the region bounded by y= x - x^3, x = 0, x = 1 and the x - axis about the y-axis.

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