Find the domain of the given function f and find where it is increasing and decreasing, and also where it is concave upward and where it is concave downward. Identify all extreme values and points of inflection. Then sketch the graph of y = f(x). f(x) = ln(x2 + 49)
What will be an ideal response?
Domain = (-?, ?)
Increasing on (0, ?) and decreasing on (-?, 0)
Minimum at (0, ln 49)
Concave up on (-7, 7) and concave down on (-?, -7) ? (7, ?)
Points of inflection at (7, ln 2 + 2 ln 7) and (-7, ln 2 + 2 ln 7)
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Solve the problem.A survey of a group of 113 tourists was taken in St. Louis. The survey showed the following:63 of the tourists plan to visit Gateway Arch;49 plan to visit the zoo;10 plan to visit the Art Museum and the zoo, but not the gateway Arch;12 plan to visit the Art Museum and the Gateway Arch, but not the zoo;17 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 9 plan to visit the Art Museum, the zoo, and the Gateway Arch;15 plan to visit none of the three places.How many plan to visit the Art Museum only?
A. 12 B. 49 C. 98 D. 36
Provide an appropriate response.Change to a decimal.
A. 9 B. 90 C. 0.9 D. 0.09
Evaluate the expression.(-2)0
A. 0 B. 1 C. -2 D. -1
Graph the pair of parametric equations with the aid of a graphing calculator.x = t - sin t, y = 1 - cos t, -4? ? t ? 4?
A.
B.
C.
D.