Find the maximum rate of change of fat the given point and the direction in which it occurs f(x, y) 4y x, (4, 9) maximum rate of change direction vector

Q: Find a unit vector that is normal to the level curve of the function f(x, y) = 3x + 6y at the point…

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Q: Find the maximum rate of change of f(x, y, z) = x + y/z at the point (1, 1, -5) and the direction in…

A: We have to find the maximum rate of change

Q: Find the gradient of the function at the given point. Function Point F(x, Y, z) = Vx + y² + z? (8,…

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Q: Find the maximum rate of change of f(x,y)= e^x^2 at (3,0) and the direction in which it occurs.

A: GIVEN DATA : Function fx,y=ex2        TO FIND : Maximum rate of change at 3,0 and the direction  The…

Q: Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, y)…

A: Note: where △f(x,y) = ∂f∂x,∂f∂y

Q: The maximum rate of change of the function f(x, y, z) = xyz at the point (1, 2, 3) occurs in the…

A: In this question we have to find the correct answer.

Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(4,…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) : x2 + y2 + z? (7,…

A: Formula for the directional derivative of the function f(x,y,z) is: ∇f = fxi +fyj +fzk Where…

Q: Find the direction in which f (x, y, z) = z exy increases most rapidly at the point (0, 1, 2). What…

A: We have given f(x, y, z) = zexy and the point (0, 1, 2).

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

A: Given- h( x, y, z)= x y z P(3,4,3) , v=<2,1,2> To find directional derivative of the function…

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: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: The maximum value of a function f occurs in the direction of the gradient of the function f and this…

Q: Tangent to the curve z2 = 2xy + x2 , z = 3 , at the point ( 1, 4, 3) %3|

A: For a surface of the form: f(x, y, z)=0, the equation of the tangent at x0, y0, z0 is defined as…

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Given that: fx,y=2sinxy,               0  ,  5

Q: Find the maximum rate of change of f(x,y, z) = r + y/z at the point (-1, -3, 5) and the direction in…

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Q: Find the gradient of the function at the given point. Function Point (7,4) f(x, y) = Vf(7, 4) = x +…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (4,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (4,…

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Q: Find the directional derivative of f(x, y, z) = 4xy + z at the point (5, –5, 3) in the direction of…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Find the gradient of the function at the given point. Function Point x + 4y f(x, y) (3, 1) y + 1…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (8,…

A: Our Aim is to find the gradient of the function at the given pointwhere Function is…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Given that  The f(x,y)=4y√x  P(4,3) To find teh maximum rate of change and direction vector

Q: Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, у)…

A: Given function and point is

Q: Find the direction of maximum decrease of the function f(x, y, z) =exyz at the point P(1,1,1) and…

A: Given function is

Q: The temperature at any point (x, y) in a steel plate is T = 500 − 0.6x2 − 1.2y2, where x and y are…

A: The given equation is T = 500 – 0.6x­2 – 1.2y2.

Q: The maximum rate of change at a point on a function f(x,y,z) is да ylgr

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

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Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (-4, -4) and the direction in…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: A vector has 2 components, magnitude and direction which is represented by cos and sin angles. A…

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2,…

A: Formula to find directional derivative of the function F at a point P(x,y,z) in the of a unit vector…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Concept Used: Maximum rate of change of f(x, y, z) at point (p, q, r) occurs in the direction of…

Q: Find the directional derivative of the function at pointP in the direction of v. f(x, y, z) = y² +…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (7,…

A:

Q: Find the rate of change of the function f(x, y,z) =x^2y + 3xz - 5yz^3 + π, at the point (1, -1,1 )…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Given that: f(x,y)=8sin(xy),    at (0,4)

Q: Find the gradient of the function at the given point. Function Point F(x, y, z) = Vx2 + y² +. (5, 4,…

A:

Q: Compute the directional derivative of f(x, y, z) = y²e*y% at the point (0, 1, -1) in the direction…

A: We will find out the required value.

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

A: We have to find the direction in which the maximum rate of change occurs for function…

Q: Find the direction of the maximum rate of increase of f(x,y, z) = y²sinxz² at the point (0,3, –1).…

A: Given the function f(x,y,z)=y2sin(xz2) And the point (0,3,-1)

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

A: To find the directional derivative of the function at P in the direction of v.hx, y, z=xyz, P7, 2,…

Q: Tangent to the curve z2 = 2xy + x² , z = 3 , at the point ( 1, 4 , 3

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Q: Find the gradient of the function at the given point. z = x?y, (7, 1) Vz(7, 1) = Find the maximum…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z? (4,…

A:

Q: Find the gradient of f(x, y, z) = xy tan (3z) at the point (x, y, z) - 3, 2 Find exact values. No…

A: Given,