Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y dx – 6x dy, Cis the circle x? + y² = 4 буз -

Q: Let 2ry + T sin y = 27. a) Verify that the Po(1, 7/2) is on the given curve. b) Write down equations…

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Q: Find an equation of the tangent plane and find a set of symmetric equations for the normal line to…

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Q: Evaluate √(2² + yz sin(xyz))dx+(y²+xz sin(xyz))dy+(x+xysin(xyz))dz where C is the curve following…

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Q: Find the tangent plane to the equation z = 4x² + y² - 2y at the point (2,-4,40) 2= Calculator Check…

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Q: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: SHOW COMPLETE SOLUTION, MAKE THE SOLUTION CLEAR. THANK YOU!

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and…

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Q: Find the tangent plane to the equation z = 6y cos(4x – 2y) at the point (2,4,24) Z =

A: It is given that z=6ycos4x-2y and the point is 2,4,24. Recall the fact that if the equation of the…

Q: Let f (x, y) = e(3x-4y). Find the equation for the tangent plane to the graph of f at the point (1,…

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Q: 4. Find an equation of the tangent plane to the surface z = xy+8 xy-2x at the point (1,1,–10)

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Q: Find . F.dr when F(x,y) = (2x,3y²) and C is only the first quadrant part of a circle of radius 3…

A: Let C be a smooth curve and r→t=xti^+ytj^+ztk^ be the position vector of any point x,y,z on C.…

Q: Find the directional derivative of f(x,y,z)=xe +ye² at (0,0,0) in the direction of the vector…

A: As per our guidelines, I can answer only one question. To know rest please re upload particular…

Q: iez3 dz. ty z – i

A: In this question, we need to find the value of complex integral. Here first we find the contour and…

Q: 4. Find an equation of the tangent plane to the surface x = u? + 1, y = v + 1, z = u + v at the…

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Q: 2.Proof that any tangent plane for the surface F(- point = 0 passses through a fixed

A: Given below clear explanation

Q: Find the equation of the tangent plane to the surface z = cos(6x) cos(3y) at the point (-2π/2,…

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Q: 3. What is the tangent plane to the surface 4x4 2xy + 7xyz -5 at the point P(1, 1, -1)? Find the…

A: Given plane 4x4-2xy+7xyz=-5 and point P1,1,-1 Let Fx,y,z=4x4-2xy+7xyz+5

Q: 99. Determine the concavity of the curve x= 2t + In t, y = 21 – In t. %3D

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