B. Find the gradient of the function at the given point. 1 f(x, y, z) = (x² + y² + z²)¯2 + In (x y z)

Q: Find the gradient of the function at the given point. w = x tan(y + z), (6, 15, –13)

A: Let us consider the given function w=f(x,y,z) The gradient of the function is obtained as…

Q: Determine the gradient of the given function. a. f(x,v.z)=sin( -)+zży²x b. f(xV2)= 4xy? c. flx,v.z)…

A: a) The gradient of a function is given by ∇fx,y,z=∂f∂xi+∂f∂yj+∂f∂zk Given function is…

Q: Find the gradient of the function at the given point.

A:

Q: 7. Given the function f(x, y, z) = x² + y² + z² + xy + xz, find the gradient at P(1,2,1).

A: Must Know : Gradient function is given by ∇f=∂f∂xi+∂f∂yj+∂f∂zkGiven : f(x,y,z)=x2+y2+z2+xy+xz…

Q: b. Determine the gradient of the following function at Po h(x, y, z) = cos xy + e + In zx, Po(1, 0,…

A: We need to find gradient.

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) %3D Vf(4, 2) =

A: If f is a function of x and y then gradient of f is given by ∇f=∂f∂xi^+∂f∂yj^So, ∇fa,b is given by…

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions

Q: Find the gradient of the function at the given point. g(x, y) = 3xe/x, (10, 0) Vg(10, 0) = 3i + 3i

A: g(x, y)= 3 x eyx∇g(x, y) =∂g∂x, ∂g∂y∂g∂x=3eyx+3x eyx-yx2      =3eyx 1-yx∂g∂x=3eyx (x-yx)∂g∂y=3x1x…

Q: A. Find the gradient of the function. f(x,y. z) = 3x y + cos(32)

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. In(x2 - y) - 2, (2, 3) Z = Vz(2, 3) =

A:

Q: Q.4 (a) Calculate the Gradient, . F (x, y, z) =- x+ y+ z ·j+ x+ y + z x+ y+ z

A: The gradient of a vector function F→(x,y,z)=f1(x,y,z)i^ +f2(x,y,z)j^+f3(x,y,z)k^ is given by…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, –3) Vw(10, 5, –3) =

A:

Q: Let f(x, y) = exy and P(1, 0). Solve for the gradient of f at the point P.

A:

Q: Find the gradient of the function at the given point. f(r, y) = 3x+52 +1, (2, 1) %3D O 3i+10 O 3i+5j…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

A:

Q: Find the gradient of the function at the given point g(x, y) = 2xe/x, (16, 0) Vg(16, 0) =

A:

Q: Find the gradient of the function f(r, y, 2) = x In(yz), at the point (-2, 1, e) Vf(-2, 1, e) =

A:

Q: 2. Find the gradient of the function f(r.y) In(r y²) at the point( 1, 1).

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 1, (1, 4) Vf(1, 4) =…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 8,    (2, 1) ∇f(2, 1) =

A: We have to find the gradient of the function  f(x, y) = 2x+4y2+8  at the point (2, 1).

Q: find the gradients of the functions below a)f (x, y, 2) = ye* + 22 in P(0, 2, :

A:

Q: Find the gradient of f(x, y) =x2-5xy+y2 at the point (0, 1)

A: Gradient of the f(x,y) at a point (a,b) is given by :∇f=dfdx(a,b)i+dfdy(a,b)j

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y + 4, (3, 2) %3D Vf(3, 2) =

A: We will solve the problem.

Q: Let f(x, y) = x² + In(2x – y). Find the gradient Vf(x, y) at the point (1, 1). O O O O

A:

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

A: To find the gradient of the function at the given point.fx, y=5x+2y2+4, 4, 2∇f4, 2=?

Q: Compute the gradient Vf of the function f given by f(x, y) + y at an arbitrary point (x, y). Then…

A:

Q: Find the gradient of the function at the given poin In(x² - y) -2, (3,8) X Vz(3, 8) = Z =

A: We are asked to find the gradient of the function.

Q: 7. Compute the gradient of the given function, evaluate it at the given point P, then compute the…

A:

Q: Find the gradient of the function f(x, y) = 3x + 5y2 + 1, at the given point      (2, 1)

A: Given equation - f(x,y) = 3x+5y2+1We can write it as - y = 3x+5y2+1Gradient is given by , dydxNow…

Q: 1. Find the Gradient of the following a. F, = x'e" - y': b. F, = 4x' - 3y +5=?

A: Solution is given as below:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) = 4i +…

A:

Q: The gradient of f(x, y) xy at (x, y) = (– 1, 1) is

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1)

A: To find the gradient of the function at the given point.

Q: Find the gradient of the function f(x, Y, z) = y² ln(za), at the point (e, –1, 1) Vf(e, –1,1) =

A: The given function fx,y,z=y2ln(zx)

Q: Find the gradient of the function w = x tan( y + z), at the given point (4, 3, −1)

A:

Q: Find the gradient of f at the indicated point f(x,y,z)=yz3-2x2; P(2,-3,1)

A: The formula to find the gradient is ∇f=∂fx,y,z∂x,∂fx,y,z∂y,∂fx,y,z∂z, that is partially…

Q: Find the gradient of f(x,y,z)=xy+yz+xz at point P(1,2,3).

A: As we know that the expression for the gradient is: ∇fx,y,z=i∂∂x+j∂∂y+k∂∂zfx,y,z Given:…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (9,…

A:

Q: Find the gradient of the function f(x,y, z) = xy°z³ at the point (1,1,1).

A:

Q: 6. Find the gradient of f(x,y) = ,x' - u°. grad f i +

A: We will find the first order partial derivatives with respect to x & y and use the definition of…

Q: Find the gradient of f(x, y) = 3xty3 + 4x°y® at (1, 2).

A:

Q: Find the gradient of the function f(x,y,z)=y^2ln(xz), at the point (1,2,e) ∇f(1,2,e)=

A: Given f(x,y,z) = y2ln(xz)

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

A: Gradient of w=xtany+z at 12, 13, -11

Q: Find the gradient of the function at the given point. In(x2 – y) - 3, (3, 8) Z = | Vz(3, 8) =

A:

Q: Find the gradient of the function z(x, y) at the given point P: z = cos(x² + y²), P(3, — 4).

A: The given function is z=cos(x2+y2), P(3,-4).

Q: Find the gradient of the function g(x, y) = 2xey/x , at the given point (2, 0)

A: Consider the given: gx,y=2xeyx,2,0Gradient of the function…

Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: (3) Find the gradient of f. (a) f(z,y) = r²y³ (b) f(x, y) = sin(x – y) (c) f(x,y) = In(x² – y²)

A: Given:  (a) fx,y=x2y3 (b) fx,y=sinx-y (c) fx,y=lnx2-y2 To determine: The gradient of f. Concept…

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4)

A: To find the gradient of the function at the given point.