QY/ Find the direction devivative of f(x,y) = x₁² + yet at the paint (2,1), by the dirction of V = i-j

Q: obtain the gradient of the function f(x,y,z)=x^2y+5xz

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Q: F(X, y,z) = 2x -y? +z?

A: F(x,y,z)= 2x-y^2-z^2 at point (4,-4,2) df/dx= 2 df/dy=-2y df/dz= -2z

Q: y - 2)2 + (x-2)2 . Find the direction of heat flow in the plate at the point (2, 1). Heat flows in…

A: Introduction: The gradient of the temperature function at the point is the direction of the greatest…

Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

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Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

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Q: Does fx(x,y) when at (a,b), fy(x,y) has to be at (a,b) Explain why statement is true or explain why…

A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that, , then1) f has…

Q: (d) Find the directional derivative of f at (-2,1), in the direction of (-3,5).

A: Given f(x,y)=9-x2-y2 fx= -2x fy=-2y ∇f(x,y)=<fx,fy>=<-2x,-2y>…

Q: Find the indicated value for f(x,y) = x^2y^3  fxx(1,2) =  fyy(1,2) =  fxy(1,2) =  really…

A: Given query is to find indicated partial derivative.

Q: Evaluate F dr where F(x, y, z)= (x', y’, xyz) and C is the line segment from х, у, со (1, 4, 3).

A: Use parametric to solve