Math Calculus A seat on a Ferris wheel travels a circular path where the height of a seat from the ground (in meters) is a sinusoidal function of time (in seconds). The following information describes the characteristics of the function equation for the circular path of the Ferris wheel seat.

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A seat on a Ferris wheel travels a circular path where the height of a seat from the ground (in meters) is a sinusoidal function of time (in seconds). The following information describes the character ... istics of the function equation for the circular path of the Ferris wheel seat. Generate and Solve Trigonometric Equations Part 2 Generate the trigonometric equation from the given information. Then, answer the questions based upon the function the equation represents. Set your calculator to radian mode before starting this project. A seat on a Ferris wheel travels a circular path where the height of a seat from the ground (in meters) is a sinusoidal function of time (in seconds). The following information describes the characteristics of the function equation for the circular path of the Ferris wheel seat. For the interval {0 < x< 8} , the graph reaches its highest value at x = 2 and its lowest value at x =6. The end points of the graph for the interval {0 < x <8} are (0, 10) and (8, 10). Measuring from the ground, the Ferris wheel seat reaches its highest point at 18 meters and its lowest point at 2 meters. . The period of the function is 8. A) 1) What type of trigonometric function will best represent this situation? 2) Using the given information, why does the function type above best model this problem? B) What is the general form of the function stated in Part A? Include the definition for each parameter value. General form of function: where C) 1) Is there any vertical shift in the function? 2) If so, state the vertical shift using the appropriate parameter. 3) Using the given information, justify the above vertical shift. 4) What is the modified function equation that includes the vertical shift? D) 1) What is the amplitude of the function? State your answer using the appropriate parameter. 2) Show your work to verify your answer by using the amplitude formula. 3) What is the modified function equation that includes the vertical shift and amplitude? E) 1) What is the period of the function? 2) What is the value of parameter b? 3) Show your work to verify your answer. 4) What is the modified function equation that includes the vertical shift, amplitude, and parameter b ? F) 1) Is there any horizontal shift in the function? 2) If so, state the horizontal shift using the appropriate parameter. 3) Using the given information, justify the above horizontal shift. 4) What is the modified function equation that includes the horizontal shift? Include the definitions for the independent and dependent variables with appropriate units. Function equation: , where G) Answer the following questions. 1] How high off the ground is the seat 24 seconds after the Ferris wheel starts operating? a) Show your work by substituting the correct value into the function equation and solving for the unknown variable. bl Solution of unknown variable. c1 State your answer in a complete sentence with appropriate units. 2} How high off the ground is the seat 1 5.05 mi nutea after the Ferris wheel starts operating? Flound your answer to the nearest hundredth unit. a) Show your work by substituting the correct value into the function equation and solving for the unknown variable. bl Solution of unknown variable. c) State your answer in a complete sentence with appropriate units. 3) At what point in time since the Ferris wheel has been operating will the seat be exactly 18 feet off the ground? a) Show your work by substituting the correct value into the function equation and solving for the unknown variable. b) Solution of unknown variable. c) Are there any restrictions to the domain? If so, state the restriction(s) and justify your response(s) based upon the problem situation. d) State your answer in a complete sentence with appropriate units. Use set notation to write your final solution. Math Calculus [Show More]

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