Asked by Shah
Suppose that the height of a hill above sea level is given by z= 1000 -0.01x2 – 0.02y2. if you are at the point (60,1000) in what direction is the elevation changing fastest? What is the maximum rate of change of the elevation at this point?
Answers
Answered by
Damon
z = 1000 - .01 x^2 - .02 y^2
dz = -.02 x dx -.04 y dy
dz= -.02(60)dx - .04(1000)dy
dz = -1.2 dx - 40 dy
move in y direction , about 40 times as effective as x motion
dz/dy = -40
dz = -.02 x dx -.04 y dy
dz= -.02(60)dx - .04(1000)dy
dz = -1.2 dx - 40 dy
move in y direction , about 40 times as effective as x motion
dz/dy = -40
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