Calculus 3: Trying to understand how to change from the xy-pane to the uv-plane to find the equation for a transformation where sides of S are parallel to u- and v- axes: I'm given $y=3x-2$ , $y=3x+4$ \ , $y=-\frac{1}{2}x+1$ \ , $y= -\frac{1}{2}x+3$

Question

Calculus 3: Trying to understand how to change from the xy-pane to the uv-plane to find the equation for a transformation where sides of S are parallel to u- and v- axes: I'm given $y=3x-2$ , $y=3x+4$ \ , $y=-\frac{1}{2}x+1$ \ ,  $y= -\frac{1}{2}x+3$

jhannybean · Answer

@dan815

dan815 · Answer

sounds like change of basis problem

dan815 · Answer

jacobian stuff comes just out of partial derivaives and the cross product of the PD vectors

jhannybean · Answer

yeah... those are what I'm given :(

jhannybean · Answer

I'm not quite understanding how to make a change.

dan815 · Answer

okay so

dan815 · Answer

u see how its linear changes wrt to the intercepts

dan815 · Answer

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dan815 · Answer

y=3x-2
y-3x=b, b from -2 to 4
y=-x/2+1
y+x/2=c, c from 1 to 3

dan815 · Answer

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