Match the vector field with its graph. F(x, y) = yi -6+

Q: 5. Find a potential function corresponding to the vector field F(r,y, 2) = (2r, 3y, 4:).

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj + +x ' ||||||||||| 畫 至 X

A: Solution is given below:

Q: Match the vector field with its graph. F(x, y) = yi 址 四 場 x Q 6 電

A: F(x,y)=yi So at any point vector magnitude is same as y-cooridnate Also, if y is negative [below the…

Q: Match the vector field with its graph. F(x, y) = yi -6+ 世 -5+

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Q: Find the gradient vector field of f(x, y) = ln(5x + y)

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Q: latch the vector field with its graph. F(x, y) = yi -6 5 5 -5+

A: Given: F(x,y)=yi Find: graph of vector field

Q: Find the equation of the gradient vector field for the function f(x, y) = – læ² + 1y and then sketch…

A: The gradient vector field of given function is -2x i + 2y j

Q: Match the vector field with its graph. F(x, y) = yi 5 5 -5+ サ

A: To match the given vector field to its graph, where given graphs are given below.

Q: Find the gradient vector field of the function f. f(x, у, 2) 3 3x соs Vf(x, у, 2) %3D

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Q: ..Find the Gradient Vector Field for: f (x,y, z) = x²ye/z

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Q: Find the gradient vector field of f(x, y) ,3

A: Given,          The gradient vector field of fx,y=x6y3.

Q: Match the vector field to its graph. 1. 2. = %3D 3. F (x, y) 1 = F (x, y) = F (x, y) 4. E 5.

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 y -6+

A:

Q: Determine the vector field of F. F(r, y) = yi -

A: Solution:

Q: Find the gradient vector field Vf of f. 1 f(r, y) = (y – 2)?

A: For a given vector fx, y the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yfSo,=∂ ∂ x12y-x2∂ ∂…

Q: Find the gradient vector field of f(x, y) = tan(2x − 3y).

A: Given fx,y =tan2x-3y         we find the gradient vector of fx,y

Q: Graph the vector field  F(x,y)=(x-y)i+xj

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Q: Find the gradient vector field of f(x, y, z) 5x+ 2y+8z

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Q: Determine the vector field of F. F(x, y) = yi - xj

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Q: Determine whether the vector field is conservative. F(x, y) = 6y6(yi + 7xj) conservative not…

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Q: Q1. What is vector field and potential function? Sketch the gradient field of p(x, y) = x² + y² –…

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

Q: Match the vector field with its graph. F(x, y) = xi + 3yj -st

A: Plot the given vector Fx,y=xi+3yj.

Q: Match the vector field with its graph. F(x, y) = yi -5+ -5+

A:

Q: Match the vector field with its graph. F(x, y) %3D хі + Зуј -67

A:

Q: b) Find the curl of the vector field, CurlF, if F = Ax²z²i– By:'j+Cz*k, where the coefficients A,…

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

Q: Find the gradient vector field of f(x, y) = ln(4x + 2y)

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Q: Determine the vector field of F. F(x, y) = yi – xj 1 1

A: We need to determine the vector field of Fx,y=y i^-xj^    x,y Fx,y=y i^-xj^ =y,-x 1,0 0,-1…

Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given vector field is F(x, y) = yi - xj

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 山供 得 三 -5+ 5 X 三 -5+ ||| 三 5 BE 州 X x

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5

A: We can solve this using by draw a graph

Q: What is vector field and potential function? Sketch the gradient field of p(x, y) = x² + y² – k².

A: If z=f(x,y), then the variables x, y are called the input of the function, and z is called the…

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 1信 -6 5 to -5+

A: We have to take point (x,y) and then draw vector field

Q: Determine the vector field of F. F(x, y) = 81-4)

A: The given vector is F=8i-4j

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 5 5 -5+ -5+

A:

Q: ) Show that the vector field, F3 yz £ + zx ŷ + xy 2 c

A: Given: The vector field is, F3 = yz x^ + zx y^ + xy z^

Q: 2. Sketch the vector field F(x, y, z) = xi + yj + zk.

A:

Q: Determine the vector field of F. F(x, y) = yl – x) 1.

A: Vector field

Q: Match the vector field with its graph. F(x, y) = yi y 1信 5 5 y 5 -6+ -5+

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Q: Find the gradient vector field of f. f(x, y) = xe³xy Vf(x, y) =

A:

Q: Determine the vector field of F. (x, y) = 12i – 4j 1

A: given isF(x,y)=12i-4jgraph of vector field of F is attached below

Q: Match the vector field with its graph. F(x, y) = yi 臺 -6+ + HH H + 三

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Q: Determine the vector field of F. F(x, y) = yl – xj 1.

A: Solution

Q: Determine the vector field of F. F(x, y) yi-xj

A: see below the answer and explanation

Q: (b) A potential function for the vector field F (x, y) = (2x + 1)(x² + x + 1)² 7+ (2y + 1)(y² + y +…

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj KE 、 ||十

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Q: Match the planar vector field with the corresponding plot. (a) (4, x) y -6-

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5- 5 -5+ -5+

A: Given data÷

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 進 ↑ -6+ <||||||||||| Hex

A: