(Section 17.8) Let surface S be the surface of the solid given by <<<<<<£. (a) Find the outward flux of F(x, y, z)=(x, 2y, 2) through surface S. (b) Now we will remove the top from surface S as shown. Find the flux of F(x, y, z) = (r, 2y, z) away from the origin through the other 5 surfaces. (Hint: You do not need to calculate 5 surface integrals). 0.5 -0.5 0.5 9.D 0.0 00 4.5

Q: Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+…

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Q: Question 2: Calculate the Laplace transform of the following functions: (2.1) tsin 2t. (2.2)…

A: (.)  Given ,(2.1)   (2.2)   (2.3)   (.) Some Laplace transformations:

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Q: If Φ = xy^2 + 6 z^3 x^2, find  ∇Φ and |∇Φ| at the point (6,2,2)​ ​

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Q: Question 2 Find the minimum value of (x.y)=2xr+4y on the curve x^2+xy+y^2=16 Select one: а. -18 C b.…

A: Given, fx,y=2x+4yx2+xy+y2=16         let gx, ygx,y=x2+xy+y2-16

Q: Question 2 (a) (b) Consider the two functions of two variables (x, y) f(x,y)=5 tan '() where p is a…

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Q: 13 Find the linearizatian z=L(x.y) f the function 2=f(x.y) =4x²-y²42y at the point (x.y) = (3,2).…

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A: Given,

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A: For find ∂z∂x, differentiate partially the given function with respect to 'x' taking y as constant…

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A: This question is related to gradient and it's properties.....

Q: (Section 17.8) Let surface S be the surface of the solid given by - ≤x≤ ≤ y ≤ }, -<*</ (a) Find the…

A: The given function is F=x,2y,z and the surface is S: -12≤x≤12,-12≤y≤12,-12≤z≤12 . (a) To Find: Flux…

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Q: In spherical coordinates, (r, 0, ø), the gradient takes the form 1df 1 ðf Vf (r, 0, ø) : -î + -0 +…

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