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The path of a total solar eclipse is modeled by f(t) = 0.00244{2 - 0.549t + 34.762, where f(t) is the latitude in degrees south

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The path of a total solar eclipse is modeled by f(t) = 0.00244{2 - 0.549t + 34.762, where f(t) is the latitude in degrees south of the equator at t minutes after the start of the total eclipse. What is the latitude closest to the equator, in degrees, at which the total eclipse will be visible. The latitude closest to the equator at which the total eclipse will be visible is |:|S. (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.) The graph of a derivative f' is shown to the right. Use the information in the graph to determine where f is increasing or decreasing and the x-values of any extrema. Then sketch a possible graph of f. EE) Where is the function increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O A. The function f is decreasing on :J and increasing on |:| B. The function fis decreasing on D and never increasing. C. The function f is increasing on and never decreasing

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