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The Region R Is the Portion of the First Quadrant

Question 69

Multiple Choice

The region R is the portion of the first quadrant that is below the parabola y2 = 8x and above the hyperbola y2 - x2 = 15. Find the volume of the solid obtained by revolving R about the x-axis.


A) The region R is the portion of the first quadrant that is below the parabola y<sup>2</sup> = 8x and above the hyperbola y<sup>2</sup> - x<sup>2</sup> = 15. Find the volume of the solid obtained by revolving R about the x-axis. A)    cubic units B)    cubic units C)    cubic units D)    cubic units E)    cubic units cubic units
B) The region R is the portion of the first quadrant that is below the parabola y<sup>2</sup> = 8x and above the hyperbola y<sup>2</sup> - x<sup>2</sup> = 15. Find the volume of the solid obtained by revolving R about the x-axis. A)    cubic units B)    cubic units C)    cubic units D)    cubic units E)    cubic units cubic units
C) The region R is the portion of the first quadrant that is below the parabola y<sup>2</sup> = 8x and above the hyperbola y<sup>2</sup> - x<sup>2</sup> = 15. Find the volume of the solid obtained by revolving R about the x-axis. A)    cubic units B)    cubic units C)    cubic units D)    cubic units E)    cubic units cubic units
D) The region R is the portion of the first quadrant that is below the parabola y<sup>2</sup> = 8x and above the hyperbola y<sup>2</sup> - x<sup>2</sup> = 15. Find the volume of the solid obtained by revolving R about the x-axis. A)    cubic units B)    cubic units C)    cubic units D)    cubic units E)    cubic units cubic units
E) The region R is the portion of the first quadrant that is below the parabola y<sup>2</sup> = 8x and above the hyperbola y<sup>2</sup> - x<sup>2</sup> = 15. Find the volume of the solid obtained by revolving R about the x-axis. A)    cubic units B)    cubic units C)    cubic units D)    cubic units E)    cubic units cubic units

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