EVALUATE § 7. d² USING STOKE'S THEOREM 3xz^ + ex² ₁ + 2xy^ с F(x, y, z) = 3XZ1 te C IS THE CIRCLE OBTAINED BY INTERSECTING THE 2 2 CYLINDER X₁ + Z² = 1 WITH THE PLANE Y=3 ORIENTED IN A COUNTER CLOCKWISE DIRECTION WHEN VIEWED FROM THE RIGHT.

Q: Find parametric equations for the line through the point P(3, 6, 4) that is parallel to the plane x…

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Q: i æ² + y? = 30 and (x + 1)? + (y – 1)² = 6 | ii (æ + 3)? + (y – 2)² = 9 and (x + 7)? + (y + 1)? = 4…

A: (i) The given circle is: x2+y2=30        ....1x+12+y-12=6       ....2

Q: b.y O c. 4y^2+2(xy)^2=36 Od. 4y^2+(xy)^2=36 e. 4y^2+(xy)^2=72 Clear my choice The parametric…

A: Gievn that the line is passing through (6,5,7) and is parallel to z-axis.

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Q: Rectangle KLMN is translated -5 units vertically and then reflected over the y-axis. What…

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A: Find ∫CFdr, the line integral of F, where C is the circle x2+y2=1, oriented anti clock wise…

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

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Q: pproximate y(1.5) using  h = 0.1  and  h = 0.05  with Euler's method.

A: We have,Initial condition:Euler's method:

Q: 16. Consider the equation of the surface S given by z = 3r*ya + 3y – 4 Where a is an even number and…

A: Linear approximate equation is the equation of tangent plane.

Q: x y ● = Find the dot product of 1 18 0 — -2 and y = 1 2 4 ●

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

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A: Given surface is helicoid whose vector parametric equation is \)" data-mce-style="cursor:…

Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

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Q: i y-jx x* + y* Q.5 (a) Compute |F.dr, where F and c is the circle x + y = 1 Use parametric equations…

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A: Given the line equation C in xy-plane is y=5-2x     put x = k,  in above line . k be a parameter…

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A: Use Cauchy Residue theorem to evaluate this integral.

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: 6. Find parametric equations for the line of intersection of the planes 2x – y + z = 4 and 3x + y +…

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

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Q: y2 f(x, y)dx dy Let f(x, y) = e-x2-y² and

A: answer is in next step

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Q: iz Find the image of the exterior of the circle z =1 under the transformation w =1+; 1+z %3D

A: The detailed solution is given below.