Evaluate the following closed surface integral: F.î dA Where F = (xz²i + yz?j + z°k). The surface S: x?+y²+z? = 9 Select one: O a Non of them O c.0 d. 108

Q: 1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface xyz = k…

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Q: Consider the surface defined by the following function: x? + y? 2 = Find the points on the given…

A: The equation of the surface is given as, ∅=x2+y2-z The gradient vector at a surface z is given by,…

Q: a. Consider the function f(x, y) = ex²-² 1 1 i. Sketch level curves f(x, y) = k for k = and 1 on the…

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Q: Calculate F· dS where F = (3xy', ze", 2°) and S is the surface of the solid bounded by the cylinder…

A: We need to calculate ∬SF→.dS which is the flux. Now, we can use the divergence theorem to find…

Q: F = 2yj+z k and S is the surface y? + z? = 4 between x 0 and x = 3 – z. Compute SL.F.ds

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Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 36. Answer= (x…

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Q: Equation of the tangent plane to the surface r(u,v) [5,u,v], 0sus2,0svs2 at the point P: (5,1,1) is…

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Q: Find the points at which the following surface has horizontal tangent planes: x² + 2y² + z2 – 2x –…

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Q: Q3: find the integral f, F.ds, where F-(z-x)i+(z-2y) k, and S is the surface of the cube specified…

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Q: Evaluate the surface integral fs F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x? +…

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Q: Let "a" be a positive number. Find the surface are a of the solid obtaned by resolving The around…

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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: Calculate F. dS where F = (4x°z, 4y*z, 32*) S is the surface of the solid bounded by the hemispheres…

A: Given that F→=(4x3z, 4y3z,3z4) and S is bounded by z=16-x2-y2, z=1-x2-y2, z=0 Now,…

Q: Use Stoke's th corem to eval uate S F.dr = SS curl F. û ds, wher F=iyajz+ fx and s is the surface of…

A: We have to evaluate the integral using stoke's theorem.

Q: Assume S is a smooth surface parametrized by R(u,v) = (V / za sin y do. Evaluate S Hint: Find the…

A: We use double integral to solve this.

Q: Calculate F. dS where F = (4r*z, 4y°z, 324) and S is the surface of the solid bounded by the…

A: Given - F¯ = 4x3z, 4y3z, 3z4 and S is the surface bounded by the hemispheres z = 16 - x2 - y2, z = 4…

Q: Evaluate the surface integral. 116x² S is the part of the sphere x² + y² + z² = 36 that lies inside…

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Q: uTube Maps - Save & Exit Certify Lesson: 2.2 Multiplication with Fractions Question 1 of 10, Step 1…

A: I have given the answer in the next step. Hope you understand that

Q: JJ F- ndS if F= xi + yj+(z² –1)k Evaluate and o is the curved surface of the cylinder y = V4-x? from…

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Q: Find the points on the surface 2a2+ ly? + 522 = 1 at which the tangent plane is parallel to the…

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Q: 11. Calculate F.ds where F = (3xy, xe², z³) and S is the surface of the solid bounded by the…

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Q: ) The portion of the cylinder x² + z² = 10 between the planes y = −1 and y = 1.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Evaluate the surface integral fF- dS where F = (52,-52, 5y) and S is the part of the sphere a² +2+22…

A: Solution

Q: ograms. Let the following sets be given. The universal set for this problem is the set of all…

A: Given that F= The set of all frsehmen.S=The set of all seniors.M=The set of all math majors.C=The…

Q: S y = 3 – 2 4z – 4 = 3(x +1)?

A: Let us start solving the problem step by step

Q: Solve the problem. Find the equation for the tangent plane to the surface z = In(10x²+ 3y² + 1) at…

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Q: p(x, y, z) = e¬x²-y²–z² +2yz

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Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 36. Answer =…

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