The wave heights, h, in the open sea depend on the speed, v, of the wind and the length of time, t, that the wind has been blowing at that speed.
h=f(v,t)
What is the meaning of the partial derivatives (dh/dv) and (dh/dt)?
2007-09-27 13:10:00 · 3 answers · asked by Amelia 6 in Science & Mathematics ➔ Mathematics
I know they're the slopes, but do the numbers they give mean? Like...a practical meaning.
2007-09-27 17:52:12 · update #1
dh/dv -> time??
dh/dt -> speed??
2007-10-03 15:34:42 · answer #1 · answered by Joe Mkt 3 · 2⤊ 0⤋
The partial derivatives dh/dv and dh/dt where h= f(v,t) are interpreted geometricaly as the slopes of the curves of intersection of the surface h=(v,t) by the planes t = constant and v = constant , respectively.
2007-09-27 20:21:59 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
the rate of change of h with respect to v and respectively t
2007-09-27 20:26:19 · answer #3 · answered by Theta40 7 · 0⤊ 0⤋