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Solve for ∂w/∂y and ∂w/∂x
w=(x-y)/(x+y)
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- Tangent to the curve z2 =2xy + x2, z= 3, at the point ( 1, 4,3)A heat-seeking particle is located at the point (2, −2) on a metal plate whose temperature at (x,y) is T(x, y) = 10 − x^2 − y^2. Find the path of the particle as it continuously moves in the direction of maximum temperature increase.Find the tangent plane to surface 8x2 + y2 + 4z2 = 25 at the point ( 1, -1, 2 ).
- Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 4z2 = 21, (−3, −4, 1)Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).A heat-seeking particle is located at the point (2, −3) on a metal plate whose temperature at (x, y) is T(x, y) = 20 − 4x2 − y2. Find the path of the particle as it continuously moves in the direction of maximum temperature increase.