Given f(x, y, z)= x ln(yz), (a) (b) rapidly; compute Dƒ(1,2,1), where ₪ = 7 - 7; find the derivative of f(x, y, z) at the point (1,2,1) in the direction the function increases most and find an equation of the plane tangent to the surface f(x, y, z) = 0, at the point (1, 2, 3).

Q: Find the directional derivative of f (x, y) = -3 yx³ + xy² set by the line r(t)=(-2+ 2t,√5t). at the…

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Q: Find the directional derivative of f(x, y) = V5x + 3y at the point (0, 2) in the direction 0 3…

A: f(x,y) = 5k+3yt point (0,2)in direction θ= 5π4 radiusto find directional derivativesolution1)…

Q: Find the equation of the tangent plane to f(x, y) = x² - 2xy + 5y2 having slope 2 in the positive x…

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Q: The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the…

A: Function, Tx, y, z=x2y+y2z

Q: x if x < 0 F(x)=sin(x) if 0 < x≤ 3 1 if 2 < x lim_ f(x) =? lim f(x) =? lim f(x) =? x-1- lim f(x) =?…

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