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The ordinates of a 3 hr unit hydrograph are given below :
Time 0 3 6 9 12 15 18 21 24 27 30
Ordinates (m$^3$/s) 0 10 25 20 16 12 9 7 5 3 0

Find the ordinates of 6 hr unit hydrograph for the same basin, analytically. Also sketch this unit hydrograph. What is the peak value of discharge in this unit hydrograph.

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