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Imagine a bug sitting on the end of a fan blade as the blade revolves in a counter-clockwise direction. The bug is exactly 9 inches from the center of the fan and is at the 3 oclock position as the blade begins to tum. a. As the bug rotates from the 3 oclock position to the 12 oclock position, his vertical distance above the horizontal diameter changes from radius lengths. radius lengths to b. As the bug rotates from the position to the 9 oclock position, his vertical distance above the horizontal diameter changes from radius lengths radius lengths. c. As the bug rotates from the 9 oclock position to the 6 oclock position, hisvertical distance above the horizontal diameter changes from radius lengths radius lengths. d. As the bug rotates from position to the 3 position, distance above the horizontal diameter changes thorn the 6 oclock o\'clock his vertical radius lengths. radius lengths to e. Which of the following represents the relationship between the bugs vertical above the horizontal diameter (measured in radius lengths) in graphs terms of the angle measure the bug sweeps out position (measured in radians). Graph B Graph A

Solution

radius of circle rotated by bug = 9 inches

a) vertcial distance at 3 0 clk = 0 radius length at 12 o clock = 1 radius length

b) vertical diatnce at 12 o clkn = 1 radius length and at 9 0 clnk = 0 radius length

c) vertical distnace at 9 o clk = 0 radius length and at 6 o clk = -1 radius length

d) vertical distnace at 6 o clk = -1 radius length and at 3 o clk = 0 radius length