Identify the surface p = cos p. Select one: O a. sphere of radius 1 O b. cone O c. * sphere of radius 1 С. O d. parabolic cylinder O e. circular cylinder е.

Q: Find the area of the portion, for which z > T9, of the sphere in R° with radius /3 centered 2 at the…

A: Here we find the area.

Q: Find ervstion for the tangen plare to the Surface an Siven by x2y?3 =12 at the point Z-2,1,3)

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Q: Calculate the surface area of the following: the cap cut from the sphere r² + y² + z² = 3 by the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y? + 20,…

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Q: Find the following: The traces of the surface x2 + y? + 22 = 6 in the planes parallel to the…

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Q: 4: Show yor work. a) 1: Find the exact area of the surface obtained by rotating the curve y? +x =5,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3. Find the surface area of the surface created when the cylinder y + 2- intersects the cylinder 1²…

A: surface area of the surface given by equation z=f(x,y) A=∫∫Dfx2+fy2+1dA D is the region on xy plane

Q: 2. Find the contour integral f,zdz for (a) y is the triangle ABC oriented counterclockwise, where A…

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Q: Evaluate: I| (x2 + y?) ds over the surface S of the sphere x2 + y? + z? = 5. Use Formula (5.22a)…

A: The solution is given below:

Q: Classify the quadric surface. 22 = x² + y? + 1 81 ellipsoid elliptic cone ollintio naraboloid

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Q: Evaluate yds where S is the surface = x + 2y?, 0 <a < 1, 0<y S 2

A: Consider the surface, z = x + 2y²

Q: Use traces to sketch and identify the following surface 25x² + 4y? + z² 100.

A: Given: The surface 25x2+4y2+z2=100.

Q: Find the surface area of the torus generated by revolving the circle given by r = 2a about the line…

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Q: 2-By revolving the semicircle: X= r cos t, Y=r sin t, (0<t<n) About the x-axis, Show that the…

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Q: Describe and provide a rough sketch of the surface determined by the following equation: -x² +4y? -…

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Q: Determine the area of the surface with parametric equat ions x = 2u?, y = v², z = 2uv, %D 0<u< 3, 0<…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

Q: 18. Find the surface area of the part of the sphere x² + y² + z² = 4 that lies inside the cylinder…

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Q: Consider the oriented surface S for z > 0, consisting of the portion of the surface of the…

A: To sketch the given surface.

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: Consider a surface S, which is described by z=−6⋅y−6⋅x+12, with x≥0, y≥0. a) The area of surface S…

A: We will find out the required solution.

Q: Determine the projection of the surface – y? = z on the yz-plane? (Hint: a = 0) Circle O No answer…

A: The solution is :

Q: Find the area of the surface generated by revolving the curve, x = /6y – y? ; 2sys 5

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Find the area of the following surface using a parametric description of the surface.   The cap of…

A: Consider the surface that is the cap of sphere:

Q: Determine the projection of the surface - y = 3. on the yz-plane? (Hint: x = 0) O Parabola O No…

A: Given:      Surface x23-y2=z       By putting x=0 we get             023-y2=z

Q: If the curve y = f(x), a ≤ x ≤ b, is rotated about the horizontal line y = c, where f(x) ≤ c, find a…

A: Given, Curve y= f(x) , a≤x≤b Rotated about a horizontal line y=cwheref(x)≤c

Q: Find the points on the surface y? = 81+ xz that are closest to the origin.

A: Distance formula is                   d2=x2+y2+z2                  d2=f=x2+81+xz+z2 Since,…

Q: Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies…

A: We have to compute the surface area of the portion of the sphere with center the origin and radius 4…

Q: The volume of the solid that lies above the cone z = V3/x2 + y? and below the sphere z = x? +y? + z2…

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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 by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: Find the surface in the accompanying area of the heli r(r,0) = (rcos0)i+(r sin 0) j + Ok, 0s0<2r,…

A: Introduction: The formula for the surface area of the function r(r,θ) is given by,…

Q: Let S be the surface given by the first octant part of the paraboloid z=4-x^2-y^2. Find the area of…

A: We need to determine the surface area of the surface bounded by the paraboloid: z=4-x2-y2 in the…

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A: The circle r=5a can be revolved about the line r=7b sec θ, where 0&lt;5a&lt;7b. The objective is to…

Q: Find the approximate area of the surface obtained by rotating x = - (y° + 2)/², 1 sys2 about the…

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Q: 9. Using Stoke's Theorem Evaluate [(2x – y)dx – yz dy – y zdz) where c is the circle x +y =1,…

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Q: 15r If F(r) = and o is the surface (r – 3)? + y +z? = 49 oriented outwards, what is the value of F n…

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Q: The volume of the solid that lies above the cone z = v3/x² + y? and below the sphere z = x? + y² +…

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Q: 16. classify the surface: * 1- y? = 5x2 + 6z? Sphere Elliptic paraboloid Cone Plane Ellipsoid

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Q: The curre y=J36 - z' , -4£ x s4 will be rotated about the ルーaXis. find the area that results af the…

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Q: Given a surface, f(x,y,z)=15, explain what you would do to find the equation of the tangent plane at…

A: Procedure to find tangent plane at a point on the surface:

Q: y e 3x, x 2 0, is rotated about the x-axis, find the area of the resulting surface. If the infinite…

A: Find the area of the curve when rotated about x-axis

Q: 2 Find the area of the ellipse cut from the plane z = 3x by the cylinder x² + y² = 16. Surface area…

A: Given plane z=3x and the cylinder x2+y2=16. The objective is to find the area of the ellipse cut…

Q: find the surface area obtained by rotating the circle (x – 4)2 + y? =1 about the y-axis. %3D

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Q: The accompanying figure shows a spherical cap of height h cut from a sphere of radius r. Show that…

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Q: 3. Find the area of the surface cut from the paraboloid x? + y +z = 2 by the plane y = 0.

A: Here we have to find the area of the surface cut from the paraboloid x2+y+z2=2 by the plane y=0.

Q: Find the surface area of the torus obtained by rotating the circle x2 + (y – b)? =r² about the…

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Q: Evaluate T// y dV, where E is the portion of the sphere x² + y? + z² = 9 in the first octant (where…

A: Let, x=rsinθcosϕy=rsinθsinϕz=rcosθ

Q: Q#4 a. Find the area of the surface generated by revolving abuut the x – uxis the portion of the…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

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