Identify the surface whose equation in spherical coordinates is given by p= 2 cos o O Cone O Sphere with center (0,0, 1) and radius 1 O Cylinder O Plane parallel to the ry-plane O Paraboloid O Plane parallel to the rz-plane

Q: Find the area of the surface generated by revolving the curve y = sqrt(x + 1) , 1 <= x <= 5 about…

A: Given that the surface is generated by revolving the curve y=x+1 , 1 &lt;= x &lt;= 5 about the x -…

Q: Plane R is tangent to sphere 0 at point T. How are radius OT and plane R related?

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Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If…

A: The radius of the sphere is 'Rs' and radius of cylindrical driller is 'Rd'. When the cylindrical…

Q: Explain and derive the quantitative form of Laplace's law for a cyclindrical surface, Pin - Pout…

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Q: Find the areas of the surfaces generated by revolving the curves in Exercises 31–32 about the…

A: 31.The functions are,

Q: Find the area of the surface obtained by rotating the curve x = 6 cos 0, y = 6 sin³ 0, 0< 0 <n/2 %3D…

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Q: find a parametrization of the surface Parabolic cylinder between planes The surface cut from…

A: To find a parametrization of the surface: Given that, Between the planes z=0 &amp; z=3 Thus, 0≤z≤3…

Q: Compute the surface area of the surface generated by revolving the astroid with parametrization c(t)…

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Q: Describe the set in cylindrical coordinates. y^2 + z^2 ≤ 9, x ≥ y

A: Let x=rcosθ, y=rsinθ  and z=z. And the given equation is x ≥ y ⇒ cosθ ≥ sinθ

Q: Find an equation of the form r = f(0, z) in cylindrical coordinates for the surface 5x2 - 5y2 = 5.…

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Q: Describe the set in cylindrical coordinates. (Enter 0 values between 0 and 27.) x² + y2 + z2 = 9, x…

A: Use the spherical coordinates for the x and y to find the spherical coordinates of z.

Q: Classify the surface: 2 = 3y + z Ellipsoid O cone Elliptic paraboloid O Plane O sphere السابق

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Q: Find the surface area of the portion of the sphere x^2 + y^2 + z ^2 = 1 that lies abovethe cone z…

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Q: 2.) Sketch the region in the plane consisting of all points whose polar coordinates (r, 0) satisfy…

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Q: find a parametrization of the surface Circular cylinder band The portion of the cylinder (x - 2)2…

A: Given: The portion of the cylinder (x - 2)2 +z2 = 4 between the planes y = 0 and y = 3 To find:  a…

Q: Surface at 0 = 30° and r = 10 is a.. Cylinder Cone Circle Plane

A: Solve

Q: Let D be the region enclosed by the surfaces z =-/4-x² - y and x² +y* . Determine JI| zdv by using…

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Q: (2u cos v, 3u sin v, u²) and find tangent plane at Describe/Sketch the surface given by r = (0,6,4)

A: Given, To find: equation of tangent plane ate (0,6,4)

Q: 9ху. Use hyperbolic functions to parametrize the intersection of the surfaces x - y = 49 and z =

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Q: Find the coordinates of the center of gravity of the homogeneous wire showen below. The portion on…

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Q: A thin plate of constant density is to occupy the triangular region in the first quadrant of the…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. * = 5, 0sas…

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Q: Let S be the surface obtained by revolving the plane curve 2x = /9 – y² about the y-axis.

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Q: Identify the type of parametric surface produced by the parametric vector function r(u, v) = (2 sin…

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Q: Find the curved surface area of the solid generated by revolving the part of the curve y=x² from…

A: Given curve is                                               y=x2 from     (0, 0) to (6, 6) Rotation…

Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…

A: According to our company's guidelines I can only answer first question (b), since (c) is not…

Q: Consider the spherical surface E of center at C= (0,0.2) and radius 3. There are two planes parallel…

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Q: Consider the surface S consisting of the part of the paraboloid z=5 - x2 - y2 in the first octant.…

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Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Here we have to find the equation of plane which is perpendicular to the other plane.

Q: Surface at 0 = 40° and r = 20 is a.. Cylinder Plane Circle Cone

A: Given:  r=20, θ=40°

Q: Find the surface area of the parametric surface F (и, v) — (2 сos(2и) + vcos(u), 2 sin(2u) +…

A: Here, we need to find the surface area of the parametric surface                               r→(u,…

Q: Set up the triple integral in cylindrical coordinates for the right circular cylinder whose base is…

A: Triple integral set-up in cylindrical coordinates

Q: Classify the surface: 1– x = 3y² + 4z² O Elliptic paraboloid O sphere O Ellipsoid O Plane O cone

A: In this question we have to classify the surface.

Q: 2 ver portion cut from the sphere x² + y² + z² = 4 by the cone z = 0 and v= and use spherical…

A: We are asked to find the surface area of the portion.

Q: Find a parametrization of the circle of radius 7 with center (5, 3, 9) in a plane parallel to the…

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Q: Sketch the section of the surface at z = 0 on y = sinx in xy-plane on [0,27). y = sinx 4 56 1 3. 6…

A: The given equation of the curve is: y=sinx To draw the given equation on the x-y plane we need to…

Q: Find the surface area of that part of the plane 8x + 9y + z = 8 that lies inside the elliptic…

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Q: area of the surface obtained by rotating the curve y=x^3, x ∈ [0

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Q: Find the points on the surface y = 9 + xz that are closest to the origin. (x, y, z) = (smaller…

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Q: use spherical coordinates to find the moment of inertia about the z-axis of the solid of uniform…

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Q: Calculate the centroid coordinates of quarter circle (x² + y² = a*) in the quadrant, use Cartesian…

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Q: Find an equation for the tangent plane to the surface z + 4 = ry* cos(z) at the point (4, 1, 0)

A: Solution: The objective is to find an equation for the tangent plane to the given surface

Q: Find the Surface Area rotating around the y-axis

A: Given curve is

Q: find the areas of the surfaces generated by revolvingthe curves about the given axes. x = √y, 2 ≤ y…

A: We first find dx/dy

Q: verify Stokes § = (a%-y)i - yz'i over the uppea hazf SOD Face Of the sphere =1 bounded by the

A: Given that,  F→=(2x-y)i→-yz2j→-y2zk→ To verify Stoke's theorem: ∫CF→·dr→=∬Scurl F→·n^dS Here C is…

Q: Find parametrization of the horizontal circle of radius 4 with center (5, -2, 6). r(t) = %3D

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Q: Find the surface area of that part of the plane

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