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Massachusetts Tests for Educator Licensure (MTEL ) www.mtel.nesinc.com

Mathematics (09) Practice Test - MTELs

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Mathematics (09) Practice Test88. If functions f(x) and g(x) are continuous at x = a, then which ofthe following functions could be discontinuous at x = a?A. h(x) = f(x)g(x)B. h(x) = f(x) – g(x)C. h(x) = f(x) + g(x)D. h(x) = f(x)g(x)89. A bicyclist pedaled up a 2-mile-long hill averaging 4 mph.Upon reaching the top, the bicyclist headed down a 6-miledescent averaging 26 mph. What was the bicyclist'sapproximate average speed?A. 7.3 mphB. 10.9 mphC. 15 mphD. 20.5 mph90. Use the equation below to answer the question that follows.y = 5 + x sin x + cos xThe equation above is a solution to which of the followingdifferential equations?A.B.C.D.dydx = cos xdydx = x cos xdydx = cos x – sin xdydx = 2 sin x – x cos x56

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