Identifying a Graph - Help Appreciated!

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The discussion revolves around identifying a graph based on a user-drawn image. Participants suggest that the graph may represent a function like -csc(x) or -csc(2x), but emphasize the lack of sufficient information for a definitive answer. The user provides potential function choices, including variations of secant and cosecant functions with different transformations. A suggestion is made to analyze the minimal value of the function, which is consistently 3 across the options. The conversation highlights the need for more details to accurately identify the graph.
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Does anyone know how to go about this? I had to draw this, so I'm not sure how good it is, but any help would be appreciated.

http://ourworld.cs.com/SuperSamuraiStar/graph.jpg
 
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What information did you use to draw the graph?

I will assume that the 2 branches should be symmetric. If so, it looks like it could be -csc(x). But you really have not given enough information to be sure of answer.
 
I didn't use any information to draw the graph. It was a picture and they asked what to identify it. So the answer should be f(x) = ?
 
It could be -csc(2x).
 
I'm sure that's not the answer. Actually, the choices are a) f(x) = 3sec(2x + n), b) f(x) = 3csc(2x -2pie), c) f(x) = 3csc(2x + pie), or d) f(x) = 3sec(2x - pie).

Maybe that'll help.
 
consider the minimal f(x) which is 3 in all cases ... find x and then look at the graph.

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Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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