Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = 2 csc (x/2)
What will be an ideal response?
Domain: All reals except even multiples of ?
Range: (-?,-2] ? [2, ?)
Continuous on its domain
Symmetric with respect to the origin
Not bounded above or below
Local minimum 2 at each 4k? + ? for all integers k
Local maximum -2 at each 4k? + 3? for all integers k
No horizontal asymptotes
Vertical asymptotes: x = 2k? for all integers k
End behavior: csc (x/2)and
csc (x/2) do not exist
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Find the series' radius of convergence.
A. 0 B. 9 C. 18 D. ?, for all x
Use Method II to simplify the complex rational expression.
A.
B.
C.
D.
Work the application and answer with a complete sentence.A rectangular plot of land measures 90 feet by 170 feet. Find its area.
A. The area of the plot is 260 square feet. B. The area of the plot is 15,300 square feet. C. The area of the plot is 520 square feet. D. The area of the plot is 1530 square feet.
Use ?, ?, ?, or both ? and ? to make a true statement.{a, b} {z, a, y, b, x, c}
A. ? B. ? and ? C. ? D. ?