Quiz14_09 - Honors Calculus I Quiz 14 1. Determine the...

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Honors Calculus I Quiz 14 1. Determine the centroid of the area bounded by the x– axis, f ( x ) = x n , and the vertical line x = 1 . 2. Determine the centroid of the area within a circle in the first quadrant. 3. Use Pappus’ Theorem to determine the volume of a torus. The torus is the area of a circle of radius a rotated about the y –axis. The center of the circle is distance b from the y –axis. 4. Use Pappus’ Theorem to determine the surface area of the torus in the previous problem. 5. Determine the surface area of a right circular cone having radius a and height h . 6. Consider a square with sides length a and with center distance b away from the y axis. What is the volume obtained by rotating this figure about the y –axis? 7. What is the surface area of the figure described in the previous problem? 8. What is the length of the parabola given by the graph of
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