Parametrize the intersection of the surfaces using t = z as the parameter. (If there are multiple correct answers, only enter one.) x2 + y? = z?, 6y = z?

Q: What is the equation of the plane to the surface z = e3y sin(3x) +2 at the point P ,0, 3 %3D O x- y…

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Q: Choose the equation that represents the graph of the cylindrical surface below O a² + z² = 1, y = 5…

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Q: The plane y=2 intersects the elliptic paraboloid ē =4x ty parabobo. Fied the slope ot the fangenh to…

A: Given :     y = 2      z = 4x2 + y2

Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…

A: Given rectangular equation is y = x2

Q: 39. Find the surface area of the portion of the hyperbolic paraboloid r(u, v) = (u+ v) i + (u – v)…

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Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…

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Q: parametrizes the portion of the sphere x² + y² + z² = 9 that is above the xy-plane and below the…

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Q: Consider the ellipsoid 4x? + y?+ 222 = 25. Find all the points where the tangent plane to this…

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Q: Find the parametric equations for the curve of intersection between the cylindrical surface S: x +…

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Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…

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Q: Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates

A: Given query is to find equation of paraboloid in spheo coordinates.

Q: 2.a. Write the equation of the surface r? + y? = 4y in cylindrical coordinates. b. Classify the…

A: To convert to the cylindrical coordinates, we need to make the following substitutions: x=rcos(θ);…

Q: Determine the characteristics of the equation z = p? -q? and find the integral surface which passes…

A: Given partial differential equation is z=p2−q2 We have to find he characteristics of the equation…

Q: and the plane - 3 X + Z Intersect along a line. Find Parametnic desenetion of this la

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Q: Find the vollumes oF the solid that results when the r egion enclosed by the curves y= x, x = y is…

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Q: Use cos(t) and sin(t), with positive coefficients, to parametrize the intersection of the surfaces…

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Q: (a) The moment of inertia of a surface about the z axis is given by the formula I (le x2 + y? dS.…

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Q: In which part of the (x, y) plane the following equation is elliptic? Uzr + 4ury + (x² + 4y*) uyy =…

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Q: Solve Sff, 3x² + 3y²dV by using cylindrical coordinates, where G is a solid in the first octant that…

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Q: Identify the surface 2x² + 4y? – 1=0. A. An elliptic cylinder. B.Ahyperbolic cylinder. OC. None of…

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Q: Find a parametrization of the paraboloid given by f (x, y) = x 2 + y2.

A: To find a parameterization of the paraboloid given by: fx,y=x2+y2

Q: Use cos(t) and sin(t), with positive coefficients, to parametrize the intersection of the surfaces…

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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 an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces.…

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Q: 1. (a) Parametrize the curve of intersection of the sphere a? + y? + 22 22 + 222 = 1, Try your best…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…

A: Given:y2=10-z2r2=x2+y2x=r cosθy=r sinθz=z

Q: Use  inertia  to  classify  the  quadric surface  given by equation. y2 − z2 − 9x − 4y + 8z − 12 = 0

A: We wish to use inertia to classify the quadric surface given by the following equation:  ------(1)…

Q: What is the equation of the plane to the surface z = e3y sin(3x) +2 at the point P ,0, 3 O x - y -…

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Q: Sketch the surface z = 3x? + y? +1 and find its linear approximation at P-(0, -1)

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Q: a) Find the points at which the twisted cubic F(t) = ti + t} +tk intersects the plane 4.x +2y+z = 24…

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Q: Consider the surface 4a? – y? + 2z² + 4 = 0. a. Find the value(s) of k such that the cross-section…

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Q: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. z…

A: To find an equation of the form r=fθ,z in cylindrical coordinates of given surfaces: z=x+y Solution:…

Q: Find an equation of the form r = f (θ, z) in cylindrical coordinates for the following surfaces. z =…

A: We have to convert the following surface into the equation of the form r = f (θ, z) in cylindrical…

Q: Match the surface to its corresponding equation in cylindrical coordinates. 2z 3z %3D = 6 = 36 – 22…

A: To find- Match the surface to its corresponding equation in cylindrical coordinates. r = 2z r2 = 3z…

Q: 3. Find the exact area of the surface obtained by rotating the curve described by the parametric…

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Q: Write the equation x +z* - (y- 1) = 0 in cylindrical sy stem. W hich surface does it represent? Give…

A: Given :            The equation x2 + z2 - (y - 1)2 = 0   To write the given equation in…

Q: What is the equation of the plane to the surface z = e3Y sin(3x) +2 at the point P,0, 3) O x- y + ez…

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Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…

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Q: Q3/ Sketch the surface z 3x2 + y? +1 and find its linear approximation at P.(0,-1).

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Q: Use sine and cosine to parametrize the intersection of the surfaces x² + y² = 16 and z = 4x³. r(t) =

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Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 11x ,(z = 0)…

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Q: The moment of inertia of a surface about the z axis is given by the formula I Sls x2 + y? dS. Find…

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Q: 28 Describe the surface withe cylindrical equabion p?+z?=9. [ Oraw it and Solve it] .

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Q: Evaluate 3 dS, where S is the surface with parametric equations x = uv, y = u+ v, and z = u – v, for…

A: Parametric equations are obtained when all the dependent variables are dependent on independent…

Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…

A: we have to find an equation in cylindrical coordinates for the surface represented by the…

Q: Find the parametric equations for the curve of intersection between the cylindrical surface S : x +…

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Q: Find an equation of the surface of revolution by revolving the plane curve 3y = v(9- [(x-1)] ^2)…

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Q: Find an equation in rectangular coordinates for the surface represented by the cylindrical equation.…

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Q: Find the point at which the line with parametric equations x = 3 + 4t, y = 5 – 2t, z = 4 + 7t…

A: According to question,Given equation of line in parametric form,x = 3+4t,y = 5-2t,z= 4 +7t,Equation…

Q: Let C be the curve of intersection of the cylinder x2+y? = 2 and the hyperbolic paraboloid x? – y? +…

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