Evaluate or simplify the given expression.sin(2 tan-1 3x)

A.
B.
C.
D.


Answer: B

Mathematics

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Decide whether the given functions are inverses.f = {(5, 13), (4, 0), (0, 20), (13, 5)}g = {(13, 5), (0, 4), (20, 0), (5, 13)}

A. No B. Yes

Mathematics

Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = sin-1(x2 + y2)

A. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1
B. Domain: all points in the xy-plane; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)
C. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)
D. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)

Mathematics

Convert the improper fraction into a mixed number.

A. 7 
B. 5 
C. 6
D. 6 

Mathematics

Solve the system of equations by the substitution method.

A. (-6, 6) B. (-7, 7) C. (7, -7) D. no solution

Mathematics