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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 Test91. Use the diagram below to answer the question thatfollows.30°15 feetA motorcycle headlight shines a cone of light with a 30° angleof dispersion as shown above. The light creates a bright circleon a wall in front of the motorcycle. The motorcycle is movingtoward the wall at 10 feet per second. What is theapproximate instantaneous rate of change of the area of thebright circle when the motorcycle is 15 feet from the wall?A. –7 square feet per secondB. –32 square feet per secondC. –68 square feet per secondD. –314 square feet per second92. What is the slope of the line tangent to the graph ofy = (6 – x 2 ) ⎛1⎞ ⎝ 2 x2 + 1 x⎠at x = 1?A. –3B. –2C. 0D. 257

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