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Mathematics (09) Practice Test93. Use the graph below to answer the question that follows.yf( x)xBased on the graph of f(x) above, which of the following graphs best approximates g(x) = f´(x)?A. B.yyg( x)xg( x)xC. D.yyg( x)xg( x)x58
Mathematics (09) Practice Test94. Which of the following definite integrals represents the lengthof the curve defined by f(x) = x 2 on the x-interval (0, 3)?A.B.C.D.⌠⌡03⌠⌡03⌠⌡03⌠⌡031 + 2x dx1 + x 2 dx1 + 4x 2 dx1 + x 4 dx95. Use the function below to answer the question thatfollows.c(t) = 1.2e 0.14tThe manager of a new water treatment plant estimates thatthe plant's capacity will grow according to the function above,where c represents capacity in millions of gallons per year andt represents the number of years since the plant opened.Based on this estimate, which of the following approximatesthe total number of gallons of water that will be treated in thefirst five years?A. 2.4 million gallonsB. 8.7 million gallonsC. 9.3 million gallonsD. 17.3 million gallons59
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