State Stokes’ Theorem.

Q: Find a unit normal vector to y=x^3 At the point (3,6) and pointing from p toward the concave inside…

A: In this, We find unit normal vector to y=x^3 at the point (3,6) .

Q: siny dy 2. 3 |- cosy

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Q: Find the normal vector to plane y-x-2=0

A: A unit vector is a vector of length 1. Any nonzero vector can be divided by its length to form a…

Q: 3 Z Eii %3D From the properties of characteristic equation of strain Zɛ, -Mw -Mw

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Q: Find the Contour integration to

A: ∫-π-π11+sin2xdx∫aafxdx=0, a≠∞=0

Q: nasin(hx) cos(bx)dx

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Q: e modulus valu

A: In the given question, the concept of derivatives is applied. Derivative We can use a derivative to…

Q: Find the work done by the force field

A: F→=x i→-y j→C:x(t)=t  ,  y(y)=t3/2r⇀(t)=<t,t3/2>dr⇀=<1,32t1/2>dtF(r(t))=t i→-t3/2 j→Work…

Q: Q4 (a) Define Gauss's theorem and Stokes' theorem.

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Q: vt e dt

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Q: What is the derivative of a function ƒ(x, y) at a point P0 in the direction of a unit vector u? What…

A: For a function z=f(x,y): the partial derivative with respect to x gives the rate of change of f in…

Q: Plot part of the level curve f[x, y] = y - Sin[x] = 0 and throw in a few normal vectors.

A: Given the curve, f(x,y)=zy-sinx=0y=sinx  ⋯⋯(1) The level curve of the given curve is,

Q: Use Stokes' theorem to calculate c

A: Given,        F=xzi^+2zj^-xyk^ and C is the intersection of the plane y=z+2 with cylinder…

Q: find the equation of the plane tangent line anch normal r= Cost cos (et) Cost Simlz) } + Sint Ŕ

A: Given that, r=costcos2ti→+costsin2tj→+sintk→

Q: Solue D.E dy + (y cotx Sina) de = o

A: Solving

Q: soluti ly +y Ix

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Q: Can Stokes' Theorem be used to find the flux of F through S? Clearly answer yes or no, and then…

A: Given, F→=-9z,xexz-2xex2,12 and S is the portion of the plane 2x+3z=6 that lies in the first octant…

Q: Ex: Siny dydx

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Q: QI Find dy for dx dt

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Q: Use the full differential to calculate an approximate modulus value. of the vector (5, 8 ; 3, 1 ; 2,…

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Q: What is the relationship between Green’s Theorem and Stokes’ Theorem?

A: Recall the statement of Stokes theorem. The Stokes theorem gives the relationship between the…

Q: Find the moment of inertia: y = x³; x = 1; y = 0 about x = -1.

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Q: 9: Deduce Fresnel's coefficient of drag from Relativistic velocity addition the Or moks cofficient…

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Q: Find the principal unit normal vector to the curve at the specific value of the parameter.

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Q: What formulas are available for writing a moving object’s acceleration as a sum of its tangential…

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Q: State ONE (1) application of Stokes’ theorem in the field of engineering.   PLEASE CLEAR

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Q: Use Stokes' Theorem to evaluate curlF · dS, where

A: Let, F→=xyz , xy , x2yz. Stokes theorem states that ," Where C is the boundary of surface oriented…

Q: What is the relationship between Stokes’ Theorem and the Fundamental Theorem of Calculus?

A: Solution: Stokes Theorem: Stoke's theorem states that ''the surface integral of the curl of a…

Q: A particle moves with the position function ř(t) =. Find the tangential and normal component of the…

A: A particle moves with the position function r→(t)=4t,t2

Q: Discuss in detail about Stokes’s stream function.?

A: Discuss in detail about Stokes’s stream function.

Q: Explain the meaning of Stokes’ Theorem.

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Q: Find unit vector tangent and normals to the are y=1/2 X3+1/2. Point(1,1)

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Q: Give deep concept about steam line and path line with their mathematical form and all respects? This…

A: The objective is to define the terms streamlines and path lines along with their mathematical forms.

Q: What is Stokes stream function ? Derive and explain its mathematical relationship.

A: The stream function at a point has been defined as the quantity of fluid moving across some…

Q: dt 1 . sec t

A: Given integral is ∫dt1−sect The expression 11−sect can be written as follows 11−sect=sect1−sect+1…

Q: (g) sin vt dt.

A: Intigrating the given equation.

Q: 16 Iny dy

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Q: Write Newton’s Second Law of Motion for three-dimensionalmotion with only the gravitational force…

A: It is known that, by Newton's second Law of motion the value of force is, F=ma. Or equivalently,…

Q: The Stokes' theorem states that: Ir = || (v-V)-n do True False o

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Q: normal to the plane.

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Q: ■ Use Stokes’ Theorem to evaluate curl F dS

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Q: Describe the particle's acceleration

A: Given s(t) = t (2t - 1)2 and t = 2s The velocity v(t) = s'(t) = 12t2 + 1 - 8t The acceleration a(t)…

Q: Sketch the velocity field V= in the first quadrant.

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Q: NC2)=

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Q: 13. J sec0 de 14. J cot4x csc4x dx.

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Q: ZY = 15

A: Given that : Triangles XYZ and EFG  , △XYZ≈△EFG by SAS . YZ = 2n - 5 YX = 2n - 1 EG = n + 8 FG = n +…

Q: A plane flying at an altitude of 35,000 feet at a speed of 690 miles per hour releases a bomb. Find…

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Q: t sin (=) dt du

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Q: Define Gauss's theorem and Stokes theorem.

A: We will define first the Gauss's theorem then we will define the stokes theorem.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter.

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