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anonymous
 one year ago
plz help!
list the discontinuities for the function f(x)=cot(5x/3)
choices:
no discontinuities
n(pi/2), where n is an integer
n(pi/3),where n is an integer
n(3pi/5) where n is an integer
anonymous
 one year ago
plz help! list the discontinuities for the function f(x)=cot(5x/3) choices: no discontinuities n(pi/2), where n is an integer n(pi/3),where n is an integer n(3pi/5) where n is an integer

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ChillOut
 one year ago
Best ResponseYou've already chosen the best response.0\[\cot(5x/3)=\frac{ \cos(5x/3) }{ \sin(5x/3) }\]find the values in which sin(5x/3)=0.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: this is the graph of cot(x): dw:1434080256309:dw

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.0Woah, such hand drawing, haha

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.0Anyways, This is the kind of discontinuity in which the denominator is equal to "0".

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0we have a disconitnuity at x=pi, 2*pi, 3*pi,... nevertheless it is the graph of cot(x) not the graph of your function

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: for which values of x we have: \[\Large \frac{{5x}}{3} = \pi ,\;2\pi ,\;3\pi ,...,n\pi \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the correct answer is sin(5(3pi/5)/3) = 0, so D, 3pi/5
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