a- -- Find the curl of. v = (y²z₁e",x²y)

Q: Find div F and curl F if F(x, y, z) = x²i – 5j + yzk. div F= curl F=

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Q: 4.) Verify the Expansion of the triple vector product A x (B x ) = B⋅ (A·C) - C (A. B) by direct…

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Q: Explain Divergence of curl of B.

A: Let f = f1i+f2j+f3k Then curl(f) is given by ∇×f = ijk∂∂x∂∂y∂∂zf1f2f3=…

Q: х? — бх + у? — 2у - 6 %3D 0

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Q: The curl of- yi+z+xR"

A: In this question, we find the curl of the vector function by using the determinant method.

Q: Find the equations of the normals to the circle x² + y²-8x-2y + 12 = 0 at the points whose ordinate…

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Q: of ū at the poir 01

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Q: 2. Let D be the half-disc in the xy-plane given by x +y <9. 2. Calculate e-?+v}dA Select one: a.…

A: Let  D  be the half-disc  in the xy planegiven  by  x2+y2&lt;9calculate ∫∫D  e-x2+y2  dA

Q: Ex(6):-(H.W) Find the center and the radius of the circle whose eq x'+ y' +x+3y 7

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Q: 9. Find the curl and divergence of F. (xy)i + (yz)j + (xz)k а. b. (ze*)i + (y²e*)j+ (xy³e*z)k

A: Curl and divergence of F

Q: QUESTION 13 Let F(x,y,z)=x²zi+yj-xz²k Find the curl of F. O a-1 Ob.1 Oc_x²-2² Od. x² + z² O ex² - 2²…

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Q: solve for no. 4 and 5

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Q: Let C be the upper half (yzo) of the circle x² + y2 = 16 from (4,0) to (-40). √ (ax 2-3y) ds =

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Q: Let F=(9xy,7y,8z)=(9xy,7y,8z). The curl of F=( Is there a function f such that F=∇f=∇?  (y/n)

A: The given function .We have to find the .

Q: Let F (8xy, 3y, 8z). = The curl of F = (000). Is there a function f such that F = V f? ☐ (y/ (y/n)

A: Step 1: Step 2: Step 3: Step 4:

Q: Prove that the curve y: (-,-)→ R³ is regular with factor H and determine whether the image y (t) =…

A: If γ't not equal to 0 for all t∈-π2,π2then it is regular. If γ''t=kγ't for all t∈-π2,π2 then the…

Q: s question is differential geometry. Prove that the coordinate lines of a su

A: (1).To prove that the coordinate lines of a surface patch are lines of curvature if and only if…

Q: 4. Evaluate where C is a simple clos upper are of the unit cir

A: Greens theorem is used

Q: 3. lind Analytic function in, the disk 7z-11<1 whose veal part

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Q: calculate div(F) and curl(F). F = (xy, yz, y² – x³)

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Q: If F = xyz i+ zxj +xy'z k then find curl F at (1, 2, – 1).

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Q: 17. Let foxys = exy. Find the equation for the tangent plane to the graph of f at the point (1.1).

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Q: H.w Pind the ro.t when [!,3} by Disection?

A: We have to find the root using Bisection method.

Q: enter-radius form of the equation of t

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Q: OShow that every point (b, c) in the plane lies on a tangent line to the graph of y = x³.

A: Consider the given information. y=x3 Find the derivative of the function. dydx=ddxx3y'=3x2

Q: xỉ + yj+zk. If ū

A: In the given question, the concept of curl is applied. Curl Curl is a vector operator in…

Q: (d) Passing through the point (0, 1, 2), perpendicular to the line L and intersects L. L(xo. v) =…

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