Q.8 Find the gradient Vw ofthe function w = In /x² + y² + z². %3D

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (8, 0) Vg(8, 0) =

A: Given,           gx,y=12xeyx , 8,0To find : Find the gradient of the function at the given point.

Q: Compute the values of dy and Ay for the function y= e4z + 5z given z = 0 and Az = dz = 0.02.

A: Given x = 0, dx = ∆x = 0.02            (1) Here y = f(x) = e4x+5x

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: Find the linearization of f(x) = xm around r = e. Round the gradient and y-intercept, whenever…

A: First we have to find derivative of the given function.

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: 18,8grt(10)) 10 f(x) = V2x – 2 compute the instantaneous slope at: (6, v10) Start with two points A:…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 10, (2, 3) Vf(2, 3) =

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Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly…

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

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Q: Find the gradient of y = e" at the point (1, e).

A:

Q: Q3: Find gradient of the following function at given point f(x, y. =) = (x² + y° + :')"? + In(xyz).…

A: The detailed solution is as follows below:

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

A:

Q: Q3: Find gradient of the following function at given point 3) f(x, y, 2) = x² +y² – 2=² + = In(x).…

A: The gradient at the point (1,1,1) is, (3, 2, - 4)  The detailed solution is as follows below:

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

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Q: Q3: Find gradient of the following function at given point 2) g(x, y) = y – x². (-1,0)

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Q: H.W. Find y at x = 2.8 for the data in table :- 4 Yi 2 3.5 2.3 188 2.

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

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Q: Q4/ Linearize the Function Z = XY2 About X, = 3, Y, = 6 using: a) Absolute Variables b) Perturbation…

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Q: 5) Find the gradient of o = x?yz + 4xz2 at (1, -2, -1).

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: 25 Find the gradient of f(x, y) : at (-2, 1). x² + y? NOTE: Enter the exact answer. grad f =|? i+ ?…

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Q: 13. Let f(xy) = 2x3 – 4xy + yt. Give detailed explanations for your answers to the %3D following.…

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Q: Find the gradient of the function at the given point. In(x² – y) – 6, (3, 8) z = Vz(3, 8) =

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Q: In x Find the linearization of f(x) = xmª around x = e. Round the gradient and y-intercept, whenever…

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

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Q: Solve for the gradient of the given function. f(x, y) = e¤ sin y + el cos x

A: Given,  f(x,y)=ex sin y+ey cos x

Q: Which of the following functions has a gradient of 1 at x = 0 ? Select one alternative: y = √x y =…

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Q: Find the gradient of the function at the given point. g(x, y) = 5xe/x, (12, 0) Vg(12, 0) =

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: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3)

A:

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. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

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: 1. (a) Suppose that the changes in power a and drag y are small. Use the linear approximation of f…

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Q: For what values of x will the curve of y = x(x² – 12) has zero gradient? %3D

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Q: w = 3x² – 5y² + 2z², (1,1, –2)

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

A: The given function,   z=lnx2-yx-3, at the point 3,8

Q: A) Find the linearization of the function at the given point. f (x, y) = 1+ y ln (6 – xy), at (5, 1)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the gradient ∇f of the function f given the differential. df=2ye^xdx+xe^xdy   ∇f=

A: Note that            . Here, df=2yexdx+xexdy. So, here we have fx(x, y) = 2yex and fy(x, y) = xex.

Q: Q3: Find gradient of the following function at given point 1) f(x,y)=y-x, (2,1)

A: We find the gradient of the given function by using the definition of gradient. The gradient of a…

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

A:

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: Consider the function y defined implicitly by 3(x2 + y2)? = 100xy. Use the linear approximation at…

A: Given : 3(x² + y²) = 100xy

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

A: for finding gradient we have to find the derivative with respect to x and y   z  = ln(x2 -y)/x - 3…

Q: Find the gradient of the function at the given point. In(x² - y) - 9, (2, 3) = Z Vz(2, 3) =

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Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

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

A: The solution is given as

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.

Q: Which best represents the Slope-field and streamlines for dy = 3 – y? dt - 0.2 04 06 08 1.2 3.5 3 25…

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