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10. The monthly average temperatures for a city are given in the following table: manna Temperature (F) 29 38 50 64 73 75 72 63

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10. The monthly average temperatures for a city are given in the following table: manna Temperature (F) 29 38 50 64 73 75 72 63 51 39 28 26 (a) Find a function of the form 3; : Asin(B:L' C) + D that roughly ts this data. Note that the given data is not perfectly sinusoidal and so you will have to make some assumptions or approximations in order to nd your function, just be sure to clearly explain each step in your process for how you can nd A, B, C, and D. (b) On the same set of axes, draw the function that you found in part a and also plot the 12 given points in the table above to make sure that your function approximately matches your data. 8. The magnitude and direction exerted by two tugboats towing ship are 1650 kilograms N 40 W and 1250 kilograms S 50 W, respectively. Find the magnitude in kilograms (to the nearest kilogram) and the direction angle in degrees (to the nearest tenth of a degree) of the resultant force

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