9. A windmill has a radius of 8m and rotates once every 20 metres off the ground (i.e. the vertical distance from the ground to the centre of the wheel is 20 metres). a. Using COSINE, find an equation that represents the height of the tip of one of the blades ("h") as a function of time "t" in seconds. Given that the tip is initially at its highest point. Show all work to support your equation.

2. Given the equation 4x² - y² - 8x - 6y-21 = 0. a. Describe the characteristics of this equation. b. Explain whether the point (5,1) can be drawn a tangent to the graph of this equation.

5. Find the equation or the tangent to the curve y = 4x² In xat the point (4). Explain and show the steps. e e

2) A 50 foot diameter Ferris wheel is constantly turning at four revolutions per hour. The bottom of the Ferris wheel is 10 feet of the ground. Graph the height of the Farris wheel as a function of time, f(t), if the starting time is when the Farris wheel is at the highest point. Be sure to state the angular frequency, period, amplitude, and midline of the function. Angular Frequency: Period: Amplitude: Midline: 2a)Write a possible formula for the cosine function f(t) represented by the information and graph from question 5.