grer a certain region of space the 3. Suppose that electrical potential is given by V(xy,7) 5x? -Bxy t xyZ a) Find the rate of change of the electrical potential the the point with direction of 2 =<-1,1,>. at coordinates (4,3,2) in %3D 6.) m which direction does V change most rapialy at the point (4,3,1) c) What is the maximum rati of change V at the point (4,9,2)

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3. Suppose that grem a certain region of Space the
electrical potential is given by V(xy,7) -$x²-3xyt xyz
a) Find the rate of change of the electrical potential
the
coordinates (4,3,2) in
the point with
direction of ã =<-1,1,>.
at
6.) m
which
direction
does V change most rapialy at the
point
(4,3,1)
c) What
is
the
the
maximum rati ot change V at
point (4,3,2)
Transcribed Image Text:3. Suppose that grem a certain region of Space the electrical potential is given by V(xy,7) -$x²-3xyt xyz a) Find the rate of change of the electrical potential the coordinates (4,3,2) in the point with direction of ã =<-1,1,>. at 6.) m which direction does V change most rapialy at the point (4,3,1) c) What is the the maximum rati ot change V at point (4,3,2)
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