Let F = (y, x, z) and S be the surface of x2 + y2 < 4, x > 0, y 2 0,0sz< 4. Then using the divergence theorem of Gauss fF ndA = a) 2п b) 4T с) бп d) 8T e) T

Q: Use the divergence theorem to evaluate F.dS, where F = and S is the surface bounded by x2+y²=4, z…

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Q: Use Divergence Theorem to evaluate || F·Nds and find the outward flux of F(x, y, z)=xi+yj+zkthrough…

A: Solved below...

Q: 5. Use the Divergence Theorem to calculate the surface integral SF dS, where F(x, y, z) = (xye , xy?…

A: By divergence theorem value of the surface integral is

Q: Verify the formula [[F.nds = [ div F dV in the Divergence Theorem by evaluating the surface integral…

A: The function given is as follows: Fx, y, z=2xi^-yzj^+z2k^ With σ being the paraboloid z=x2+y2 capped…

Q: For the vector A = ar r2 + az 2z, satisfy the divergence theorem in the circular cylindrical region…

A: Consider the given vector: A→=arr2+az2z and a circular cylindrical region surrounded by  r=5,z=0,…

Q: Let (r, y, z) 2 F := + y2 + and let S be the boundary of the sphere x2 + y² + z2 = 1 oriented…

A: Divergence theorem: Let D be a simple solid region and s is the boundary surface of D. Let F→ be a…

Q: Let F=[-x, y, z] and S be a sphere of radius R. Using the divergence theorem, the value of the…

A: For evaluation of the given integral, we must know the direction of normal to the surface S. For…

Q: Let F = (y,x, z) and S be the surface of x2 + y² 0, y > 0,0 <z56. Then using the divergence theorem…

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Q: For the vector A = ar r2 + az 2z r = 5, z = 0 and z = 4 in the circular cylindrical region…

A: The objective is to prove the divergence theorem for the vector function A=arr2+az2z for the…

Q: Verify the formula J.F., F.ndS= =JJJ₂ div div F dV G in the Divergence Theorem by evaluating the…

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Q: Use the divergence theorem to evaluate ]] F .dɔ̃ where F = xyi – ¹⁄y²j+zk and the surface consists…

A: Here, the surface consists of the three surface z=4-3x2-3y2; 1≤z≤4 on the top x2+y2=1, 0≤z≤1 and z=0…

Q: Let F=[-x², 3y, 2xz] and S be a sphere of radius R. Using the divergence theorem, the value of the…

A: The answer is option D. Divergence theorem  Let E be a simple solid region and S is the boundary…

Q: Use the Divergence Theorem to calculate F.dS, where F (x, y, 2) = x² yzi + 2yzj – xyzk and %3D S is…

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Q: Use the Divergence Theorem to evaluate F. ds, where F(x, y, z) = z?xi + (+ tan zj + (x²z + y2)k and…

A: We are given a closed surface integral and we have to use the Divergence Theorem to evaluate that.

Q: Use the Divergence Theorem to calculate the flux of Flacross SI where F = zi + yj + zxk|and Slis the…

A: Given that F=zi+yj+zxk And, The objective is to find the .

Q: Realize the Gauss (Divergence) Theorem by considering the volumes (V) given for the vectors below…

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Q: Let S be the portion of the cylinder y² + z² = 4 with z > 0 between the planes r = 0 and a = 5…

A: To compute the flux of below function F across S F=x2,y2,z2

Q: * Use the Divergence theorem to find , F. dS where F(z, y, z) = (zy, y, -zy) and S is closed surface…

A: Using surface integral, answer is 8π

Q: Let F = (y, x, z) and S be the surface of x2 + y2 0, y > 0, 0<z5 4. Then using the divergence…

A:

Q: Let S be the portion of the paraboloid z = r² + y? below z = 4 together with the disk a2 + y² < 4 in…

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Q: Verify Gauss Divergence Theorem for F = (x3- yz)i+ (y² - xz)j+ (z3 – xy)k %3D taken over a…

A: GivenF→=x3-yzi^+y2-xzj^+z3-xyk^taken over a rectangular  parallelepiped bounded by 0≤x≤a,0≤y≤b and…

Q: Apply the divergence Theorem,with the surface of F = 4xzỉ – y²j + yzk and S being the cube surface…

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Q: 2- Use Gauss's divergence theorem to evaluate the surface integral / ry dydz + 2y°dxdz + y?zdxdy),…

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Q: Realize the Gauss (Divergence) Theorem by considering the volumes (V) given for the vectors below…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Use the divergence theorem to evaluate the flux of F(x, y, z) = 2xyi+ yzj+ z? k across the surface…

A: We will use Divergence theorem to evaluate the flux.

Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

A: Solution:-

Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Use divergence theorem to evaluate F·dš where F(x,y, z) = (2x + yz)ī + 2yzj – z?k and S is the…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F=zi+yj+zxk and S is the…

A:

Q: Verify the Divergence Theorem SI div F av F. dS S E for F(r,y,2) = z i+ yj+xk and where E is the…

A: Given that Fx,y,z=z i+ y j +x k and E is the solid ball x2+y2+z2≤16. First find the divergence of F.…

Q: Q5. Analyze and Verify Gauss divergence theorem for F 2 xz i+ yzj+ z? k over the upper half of the…

A: Here, F=2xzi+yzj+z2k Given upper half of the sphere x2+y2+z2=a2. Let ∅=x2+y2+z2-a2=0…

Q: Evaluate both sides of divergence theorem for A = pa, + pcos()a , + za, through the closed surface…

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Q: 5/ MATH

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Q: Use the Divergence Theorem to evaluate F. dS , where F(r, y, z) = (2x(y - z), x? – y, z) and S is…

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Q: Use divergence theorem to evaluate where F(x, y, z) = 3xi + xyj + 2xzk and s is the surface of the…

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Q: Find the flux of F(x, y, z) = (z, 4x, y) through the surface S, when S is the part of the plane 2x +…

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Q: Use the Divergence Theorem to evaluate each of the following: (a) |/ ((2x+ yz)i – 2yj + (z² + x)k) ·…

A: a) Given the field, F=2x+yzi-2yj+z2+xk The surface S is the sphere x2+y2+z2=4 with an outward…

Q: 2- Use Gauss's divergence theorem to evaluate the surface integral || «ry°dydz +2y°dxdz + y°zdzdy),…

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Q: Let F(x, y, z) = 2z? xi + (y + tan(z))j + (2x²z – 2y²)k. Use the Divergence Theorem to evaluate F.…

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Q: 5. Use the divergence theorem to evaluate the surface integral ff, F. ds, where S is the sphere x² +…

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Q: Lek F =lx?+ y?) j. Let S be the closed Surface surounding the rectangula box with vertices: %3D…

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Q: Let F = [a2,0, 22), and S the surface of the box |r| < 1, |y| < 3, 0 < z < 2. %3D -face integral F.n…

A: The divergence of the function F is:

Q: Evaluate both sides of divergence theorem for A= pa, + pcos(6)a+za, through the closed surface 0<p<…

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Q: Assume that S is the disk 2 + y² <4 in the plane z 0 oriented upwards with positively oriented…

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Q: 8. Use the Divergence Theorem to find the outward flux of F(r, y, 2) = (y² + 2) i+y²j+(e® + z) k…

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Q: Use the Divergence Theorem to find F- ndS, where F = (y°z,x²z,z') and the surface S is the sphere x…

A: See the details solution below

Q: Use the Divergence Theorem to evaluate F. dS where S is the sphere r² + y² + z² = 9 and F = (3r, 2y,…

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Q: Verify the formula F-nds = | div F dv in the Divergence Theorem by evaluating the surface integral…

A: Given that Fx,y,z=2xi→-yzj→+z2k→ Where σ is the paraboloid z=x2+y2 capped by the disc x2+y2≤16 in…

Q: 2. Use the Divergence Theorem to calculate the flux of F(x, y, z) = (x³ + y) i+(y³ + 2³) j+(z³ + x²)…

A: The given vector field is  F(x, y, z) = (x³ + y) i+ (y³ + z³) j+(x³ + x²) k across the surface of…

Q: Verify the Divergence Theorem for the F(x,y,z) = 4xi +4yj +2z? k over the surface S of x² +y² and z…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.