ࡱ > # % " bjbj .2 x x B + + + + + ? ? ? 8 w l ? $ ! > ! + + + 4 R + + lf ? M N { 0 ! d ! ! + | ! : 1. C EMBED Equation.DSMT4 2. C EMBED Equation.DSMT4 3. B . EMBED Equation.DSMT4 and for a circle, EMBED Equation.DSMT4 which means EMBED Equation.DSMT4 and EMBED Equation.DSMT4 . The circle is tangent to the x-axis when EMBED Equation.DSMT4 and at this instant, EMBED Equation.DSMT4 . 4. D EMBED Equation.DSMT4 . 5. D If we define the circle as EMBED Equation.DSMT4 , then the volume of each sliver is EMBED Equation.DSMT4 . The total volume is found by integrating from EMBED Equation.DSMT4 to EMBED Equation.DSMT4 . Therefore EMBED Equation.DSMT4 . 6. A EMBED Equation.DSMT4 and EMBED Equation.DSMT4 . Plugging into the arc length integral we get. EMBED Equation.DSMT4 . 7. E Minimize the distance from EMBED Equation.DSMT4 to EMBED Equation.DSMT4 . So, EMBED Equation.DSMT4 and EMBED Equation.DSMT4 which equals zero when EMBED Equation.DSMT4 . Therefore the distance from the origin to the point EMBED Equation.DSMT4 is EMBED Equation.DSMT4 . 8. A EMBED Equation.DSMT4 9. A EMBED Equation.DSMT4 10. B EMBED Equation.DSMT4 11. E Volume of torus = EMBED Equation.DSMT4 . EMBED Equation.DSMT4 . 12. D EMBED Equation.DSMT4 13. D In a cubic equation, the average of the x and y coordinates of the relative maximum and relative minimum will give you the coordinates of the inflection point. 14. A The point EMBED Equation.DSMT4 is on the graph therefore the sum is 16. 15. C EMBED Equation.DSMT4 EMBED Equation.DSMT4 . 16. Changed to E D EMBED Equation.DSMT4 17. Changed to E B EMBED Equation.DSMT4 18. C EMBED Equation.DSMT4 19. D EMBED Equation.DSMT4 20. B EMBED Equation.DSMT4 21. Changed to E C EMBED Equation.DSMT4 22. B EMBED Equation.DSMT4 . Area of region bounded by both curves but below EMBED Equation.DSMT4 is EMBED Equation.DSMT4 and the area bounded from EMBED Equation.DSMT4 to EMBED Equation.DSMT4 is EMBED Equation.DSMT4 . 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