For the ellipsoid 2.x2 + 3y? + 422 = 50, %3D find normals and tangent planes in the points where the normal is parallel to the line 3 +t|3 2 6.

Q: Find the equation of the tangent plane Pr to the surface S: x2 + y? +z² = 9 at (2, –1, 2)

A: The equation of the tangent plane to the surface f(x, y, z)=0 at a, b, c is defined as: fxa, b,…

Q: Find the area of the surface generated when the given curve is revolved about the given axis.Y=…

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Q: Given the surface x²y + y° z+ z?x = 38. Find the normal line and the tangent plane to the given…

A: A detailed solution is given below.

Q: Find the area of the surface obtained by rotating the curve about the x-axis y=Vx, 0sxs4

A: Please refer to the image below.

Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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Q: x = 3t – t, y = 3t2, 0<t< 1

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Q: Find the area of the surface obtained by rotating the given curve about the indicated line, y=x,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2,…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis. x=2+4y2    ,…

Q: Find the surface area of the curve: y In x; 1sx S 2 when the curve is rotated about the y-axis.

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Q: Determine which of the following gives the area of the surface obtained by revolving the curve y =…

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Q: 3) Find the area of the surface obtained by rotating the given curve about the indicated line, y=x2,…

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Q: Find the area of the surface obtained by rotating the curve V5=x' 3 Sx 55 about the x-axis a

A: Here function is, y = (5-x)^(1/2) Since function is positive for the given interval and has a…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. + 2)3/2, 3 sy s…

A: Given function is x=13y2+22 and 3≤y≤4 We have to find the exact area of the surface obtained by…

Q: y? - In(Vy), 1sys 5 about the x-axis is The area of the surface obtained by rotating the curve x =

A: Solve the following

Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = V3x +5…

A: Surface area of the bounded region along x axis

Q: Calculate the angle between the normals to the surfaces x²y + z = 3_ and x log z − y² = −4 at the…

A: Angle between two normal vectors a and b is  θ=cos-1±a·b

Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y = (x^2…

A: Solution:

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x³, osx S 5

A: Given data:   The given equation is y=x3. The given limits of x are [a,b]=[0,5].   Differentiate the…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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Q: y = V8 - x, 2 <x S 8

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = V3x +…

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Q: 4. Find the area of the surface obtained by rotating the curve y? = x + 1, 0<x < 3. about the x-axis…

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Q: Find the area of the surface generated when the given curve is revolved about the given a xis,…

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1+ ex,…

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Q: Find the length of the curve y =Vx³, for [0, 4]. Find also the surface area of the region is rotated…

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Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V9 -x,…

A: 3

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y=6x, 0≤x≤3

A: Find the surface area generated by revolving the given curve about the x-axis.

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y= (3x/3,…

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The area of the surface obtained by rotating the curve y = V4-x², -2 s xs 2 about the x-axis is

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Q: Let C be the curve y = 5/a for 2.6 < a < 4.7. %3D 10 4 3 4. Find the surface area of revolution…

A: Function  y=5x for 2.6≤x≤4.7Formula→Surface area about x-axisS=∫ab2πy1+dydx2dx,  a≤x≤b

Q: Find the area of the surface obtained by rotating the curve y = Vx on the interval [0,1] around the…

A: The equation of the curve is y = x3 = x13 To evaluate: The area obtained by rotating the curve on…

Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 18 x< 4

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

Q: ind the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex, 0 <…

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Q: What is a unit normal to the surface xy + 2x

A: Given, the surface x2y+2xz=4    at  the point (2, -2, 3)

Q: - Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x²…

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Q: Determine which of the following gives the area of the surface obtained by revolving the curve y =…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. v2 + 2)3/2, 4 s…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V8 - x, 2 s…

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. y = v1+ ex, 0 <…

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Q: The area of the surface obtained by rotating the curve x = y2 - In(Vy), 1sys2 about the x-axis is

A: The given curve is: x=14y2-lny  ;      1≤y≤2 Therefore: dxdy=y2-12y

Q: The area of the surface obtained by rotating the curve * = 3t, y = 65 – 4t 5 st36. about x -axis is…

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Q: Show that at any point (x,y) on the curve y = be", the length of the subtangent is constant and the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2, 1 s…

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Q: Find the average distance from a point P(x, v) in the first two quadrants of the disk x2 + v s25 to…

A: We have a given point P(x, y) and a disc   x2+y2≤25 We need to calculate the average distance from…