Solve the problem.Use the trigonometric identity tan 2x =  to find Dxtan 2x.

A. 2 sec2x(1 - tan2x)
B. 2 sec2x(1 + tan2x)
C. 2 sec2x tan2x
D. 2 tan2x + tan3x


Answer: B

Mathematics

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Factor f(x) into linear factors given that k is a zero of f(x).f(x) = x3 - (4 + 2i)x2 + (-5 + 8i)x + 10i; k = 2i

A. f(x) = (x - 2i)(x + 1)(x - 5) B. f(x) = (x - i)(x + 1)(x - 10) C. f(x) = (x - 2i)(x - 1)(x + 5) D. f(x) = (x + 2i)(x - 1)(x - 5)

Mathematics

Graph the function. Give the equations of its vertical and horizontal asymptotes.f(x) = 

A. Vertical asymptote: x = 2
Horizontal asymptote: y = 0

B. Vertical asymptote: x = -2
Horizontal asymptote: y = 0

C. Vertical asymptote: x = 2
Horizontal asymptote: y = 0

D. Vertical asymptote: x = -3
Horizontal asymptote: y = 0

Mathematics

Evaluate.8? 7 - 2(2)2 ÷ (-2)

A. - 24 B. 64 C. 60 D. -108

Mathematics

Determine the domain of the variable x in the expression.f(x) = 

A. {x|x ? 0} B. {x|x ? 7} C. {x|x ? -7} D. all real numbers

Mathematics