10-11

10) An equation of the function graphed below is periodic. Identify the values of a, b, c, and d in the equation, then write an equation with the least possible phase shift for the function in the form J= acos (b(x - c)) + d and y=asin (b(x - c)) +d, where a > 0. 11) A water wheel has diameter 12 m and completes 4 revolutions each minute. The axle of the wheel is 10 m above a river. The wheel is at rest at time / = 0 s, with point P at the lowest point on the wheel. a) Determine a function that models the height of P above the river, / metres, at any time seconds. b) Determine the height of P after 35 s. c) Determine the times, to the nearest tenth of a second, in the first 15 s of motion that P is 11 m above the river