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show me the working man
putting the value of x from the lowest limit of range
0<=x<=A ,we get
2(0-3)^2-5=13 ...now we know as x increases frm 0 to greater values the value of fx decreases till the point it reaches min point at x=3 after wards it increases..now we know tht this graph will have a "U" shape for this U shape to be symmetrical abt a line we need to define a limit for x such tht it will produce the same max value within the range as before...i.e before the max value within 0<=x<=A was at 0 when fx=13 now the upper limit i.e A shud have an x value such tht it will produce the same max value tht is 13... we can find it thru this eq ...tht is
2(x-3)^2 -5=13 ...(x-3)^2=9 ,so x-3=+/- (3), x=0 or x=6 since we already have x=0 in one of the 2 limits of our range ,it means tht 6 is the other value in the limits of our range and thus A=6
 
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