xpectation: .3: Identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems rising from real-world applications. 6. Suppose a bicycle race is taking place on a flat surface which is elevated 5 m above the ground. Suppose one of the bicycle wheels has a radius of 26.2 cm and it has a nail stuck in it. a) What does the diameter of the wheel represent in this problem? b) What is the maximum height that the nail obtains in cm with respect to the ground? 7. A fish is caught in a water wheel. A graph of its height (in meters) with respect to the surface of the water over time is shown below. a) What is the diameter of the water wheel? b) How long does it take the fish to complete one revolution of the wheel? c) Does the fish re-enter the water at any point in the cycle? If so, for approximately how long? d) After 36 seconds, at what height will the fish be?Turfa K. MCR3U Twoffel aid yd ballsbom .()too .polthe Test #3 Name : Show all work neatly. Clearly identify your final answers. Expectation: D.2: Demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions. 1. If f(x) = 5 sin 2x, calculate f(150). 2. Without graphing, determine the amplitude, equation of the axis, period, domain, and range of the function y = -2.3 cos(5x) + 7. Amplitude: Equation of the Axis: Period: Domain: Range: 3. Determine the equation that represents the following transformations, where f (x) = sin (x) Phase shift 450 to the left Vertical compression by a factor of 3 Reflection in the x-axis . . Horizontal compression by a factor of 2 Vertical shift up 1 unit