2-) Gradient (2xy+3x²)e% + cx?2y242y)g-ce&) is fGriy,2) find the function.

Q: The line 3x + 2y +14 0 has a gradient of and y-intercept of Where appropriate, give your answer as a…

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Q: 3. Find the gradient of U = 4xz² + 3yz. А. 4z3а, + 3za, + (8xz + Зу)а, В. 4z? а, + 3zay + (8xz +…

A: For a vector valued function U≡Ux,y,z, its gradient is defined as gradU=∂U∂xax+∂U∂yay+∂U∂zaz…

Q: xyz), find: (1) the gradient of fat (1.1.2); (2) the directional derivative

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Q: ,2 For function f (x, y) x2+1 Evaluate the gradient at the point (1,2)

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Q: a. What is the gradient at the point (4,0,1)?

A: Consider the given function fx,y,z=x2+y2+2z2+3.  The gradient of a function is given by,…

Q: If the gradient of f(x, y, z) at (1, 2, 3) is 2i – 2j +k, then the maximum value for a directional…

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Q: If f(x, y, z) = 4zy", then the gradient at the point (5, 4, 5) is V f(5, 4, 5) =

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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 gradient of the function f(x.y) = /2x+ 3y at the point (- 1,2). Then sketch the gradient…

A: Solve the following

Q: Find the gradient of /x, y. 2) eand the largest value of the directional derivative of fox. y. zi…

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Q: Find the gradient of f(x,y.z)= (x2 + y2 + z2) - 1/2 + In (xyz) at the point (1,- 2, - 2) %3D Vf (1.…

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Q: What is the maximum slope of f(x,y,z)=ye^x-x^2sin(z) at the point (0,7,-3)?

A: Given the function fx,y,z=yex-x2sinz and the point 0,7,-3. Computing the partial derivatives,…

Q: Use implicit differentiation to help you find the value of the gradient for the equation x² – ev =…

A: given equation x2-ey=yx-2+8 claim- use implicit differentiation to help you find the value of the…

Q: Suppose the gradient of f (x, y) exists for all points in R2. Which ONE of these statements must be…

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Q: c. y = 2Vx when x = -1 с.

A: We have to find the gradient

Q: Find the gradient of the function at the given point. In(x? - y) - 3, (2, 3) Vz(2, 3) -

A: We have to find the gradient of the function z = lnx2-yx-3 at the point 2, 3.

Q: The gradient vector of the function f(x, y) = cos(4x - 6y) is (4 sin(4x - 6y), -6 sin(4x - 6y)).…

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Q: find the gradient of function f [x, y,z] = 3x² -y?_z? at paint {i,-Ź, -¡}

A: The given function is fx,y,z=3x2-y3-z2 and the given point is 1,-2,-1. The gradient of the function…

Q: b. y = 2x2 when x = 6 %3D 3.

A: Consider the curve: yx=2x23 at x=6. Find the gradient of the curve at x=6.

Q: at the point (In 12,2) Find the gradient for the function f(a, y) = y'xe # Find exact values. No…

A: The given function whose gradient is to be calculated at a given point is:

Q: g(x, y) = 6x² – 3y², (/8, /5) Gradient is f(r, y) = tan 6y (16, 2) Gradient is

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Q: Given the function z = f(x, y) = 3x² +6xy + y² + 8y, find the following: a) Find gradient at (-2, 3)…

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Q: Calculate the gradient. h(x, у, 2) %3 хуz7 Vf =

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Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: The table shows experimental valucs of two variables x and y. 0.1 0.5 1 1.5 2 y -5.95 1.63 0.83 0.61…

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Q: A line I has a gradient of m₁ = Which one of the following lines will intersect I at right angles? 4…

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Q: The directional derivative of f(x, y) (3, 4) is -In(x² + y²) at the point P(1, 5) in the direction v…

A: Definition used -          Directional derivative at the point -     The rate of change of f(x, y)…

Q: Find the gradient function for: 21y-

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Q: Find the directions in which ƒ(x, y) = (x2/2) + (y2/2) (a) increases most rapidly at the point (1,…

A: We have to find the directions a) Given function is  f(x, y)=x22+y22∆f=∂f∂xi^+∂f∂yj^∆f=122x i^+122y…

Q: Compute the gradient of f(x, y) = 9 - 5x² – y² and evaluate it at the po (4, – 1). %3D - The…

A: Use gradient formula for finding at given value .

Q: If f(x, y) = xy, find the gradient vector Vf(7, 5) and use it to find the tangent line to the level…

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Q: Find the gradient of pthe function and the maximum value of the directional derivative at the point…

A: To finds the gradient of the funxction and the maximum value of thedirectioonal derivative at the…

Q: w = 3x² – 5y² + 2z², (1,1, –2)

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) 2, Vw(10, 5, -2)…

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Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: First, compute the gradient of the function f(x,y) = 4+5x²-3y². Then evaluate it at the point…

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Q: The probability of not matching the salt content of sand from a particular source is 0.2, and the…

A: GivenThe probability of not matching the salt content of sand from a particular source =0.2 The…

Q: 4. Find the gradient of the function f(x, y) = cos(x² + y²) at the point (3,-4). 5. Find the…

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Q: First, compute the gradient of the function p(x.y) /29-4x -y. Then evaluate it at the point (-2,2).…

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Q: First, compute the gradient of the function p(x,y)= 12- 2x-y Then evaluate it at the point (- 1,2).

A: We need to find partial derivatives with respect to x and y to find gradient

Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: The gradient of f(x, y) = ry at (x, y) = (3, 1) is %3D

A: Explanation and solutions is given below....

Q: First, compute the gradient of the function f(x.y) = 3+ 3x - 7y. Then evaluate it at the point (-3,-…

A: Given:      f( x , y ) = 3 + 3x2 - 7y2      Point : ( -3 , -4)

Q: determine the gradient and equationof the tangent to the curver f(x,y) = 0 in the point (a,b) for…

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Q: Line has a -intercept at (0, 3) and an -intercept at (4, 0), . what is the gradient of L

A: The line has y-intercept at 0,3, and x-intercept at 4,0. Thus, the gradient of the line will be…

Q: If ø = 3r²y – y³,2. Find gradient Vø at the point (1, –2, –1).

A: The solution is given as

Q: For curve with equation f(x) =x²(x² – 1) find a. The coordinates where its gradient is zero b. The…

A: The gradient of a function f(x) is given by its derivative w. r. t to 'x' that is f'(x).  The…

Q: Vhat is the gradient of g(x.y) = ye* and its maximum value of its directional derivative at P(0, 5)?…

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