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802 applications of trigonometry y r 2 6 4 4 4 x 2 2

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Unformatted text preview: ns of Trigonometry 6. The fraction of the moon illuminated at midnight Eastern Standard Time on the tth day of June, 2009 is given in the table below.20 Day of June, t Fraction Illuminated, F 3 6 9 12 15 18 21 24 27 30 0.81 0.98 0.98 0.83 0.57 0.27 0.04 0.03 0.26 0.58 (a) Using the techniques discussed in Example 11.1.2, fit a sinusoid to these data.21 (b) Using a graphing utility, graph your model along with the data set to judge the reasonableness of the fit. (c) Use the model you found in part 6a to predict the fraction of the moon illuminated on June 1, 2009. 22 (d) Compare your results to those obtained using a graphing utility. 7. Suppose an object weighing 10 pounds is suspended from the ceiling by a spring which stretches 2 feet to its equilibrium position when the object is attached. (a) Find the spring constant k in lbs. ft. and the mass of the object in slugs. (b) Find the equation of motion of the object if it is released from 1 foot below the equilibrium position from rest. When is the first time the object passes through the equilibrium position? In which dire...
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