(Q19) key questions

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MHF 4UB Unit IV Workbook 47 5. The height of the pedal of a bicycle varies as the bike moves. The height in cm of the pedal above the ground over time, h, is described by the equation h=15sin(4#) +23. Time has been measured in seconds. a) What is the pedal's maximum height above the ground? b) How long does it take for the pedal to complete one revolution? c) When is the pedal at a height of 8 cm? 6. a) The population of an information technology village is increasing by 8% per year. In 2004, there were 4500 people living in the village. Estimate the population in 2010. b) The half-life of radium is 1620 years. i) If a laboratory initially had 5 g of radium, determine how much they would have in 200 years. ii) How many years would it take until the laboratory had only 4 g of radium? Part D: Thinking/Inquiry/Problem Solving Complete any 2 of the following problems [10 marks x 2 = 20] on extra paper provided by you. 1. The graph of a quartic function crosses the x-axis at - 4 and - 2, and touches at x = 3. State the equation of the family of curves. Sketch one possible function in this family. Sketch its reflected image in the x-axis, Compare the leading coefficients of the functions. Let the coordinates of the turning point of one of the functions be (a, b). Show that the distance between the turning point of this function and the corresponding turning point of the reflected function is 21bl.MHF 4UB Unit IV Workbook 48 2. For A(x)= 3x + 4x + 2, determine the average rate of change of h(x) with respect to x for the interval 5