Given the graph of the function y = x2 + 5, set up the definite integral that gives the area of the shaded region.

A. dx
B. dx
C. dx
D. dx


Answer: C

Mathematics

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Solve.Use the approximations ln 4 ? 1.386 and ln 5 ? 1.609 together with the properties of natural logarithms to calculate an approximation to ln .

A. 0.805 B. 0.693 C. 1.268 D. 2.589

Mathematics

Use the graph of a quadratic function to find the solution set of the equation or inequality. For a solution set that involves an interval, use interval notation.-x2 + 6x - 9 < 0

A. ? B. (-?, 3) ? (3, ?) C. x = 3 D. (-?, ?)

Mathematics

Factor, using the given factor. Assume all variables represent positive real numbers.(q + 2)-3/11 + (q + 2)-1/11 + (q + 2)1/11; (q + 2)-3/11

A. (q + 2)-3/11[1 + (q + 2)-2/11 + (q + 2) -4/11] B. (q + 2)-3/11[1 + (q + 2)4/11 + (q + 2)6/11] C. (q + 2)-3/11[1 + (q + 2)1/11 + (q + 2)3/11] D. (q + 2)-3/11[1 + (q + 2)2/11 + (q + 2)4/11]

Mathematics

Find the horizontal asymptote, if any, of the rational function.f(x) = 

A. y = 1 B. x = 1, x = -1 C. y = 9, y = -5 D. None

Mathematics