36. Ifo = 45x y, evaluate ||] q o dV where V is the closed region bounded by the plane 4x +2y +z = 8, x = 0, y =0, z = 0.

Q: Q7/ Calculate , F.dr, where F=xi+xyi and e is the boundary of the square in the plane z-0 and…

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Q: v dA , R is bounded by r= 2– cose R

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Q: Q17// If F = i + yj +k , Evaluate f F dv where V is region bounded by the plane z=0 and the surface…

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Q: c) Use Green's theorem to evaluate the line integral x2y2 dx + 4x dy, where C is the boundary of the…

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Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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Q: Incorrectly, we usually say that when we multiply any number by ten we “add” a zero to the number.…

A: a) Jushua is wrong because the correct answer is 10×1.3=13 b) If a whole number is multiplied by 10…

Q: 10. Identify the surface that is given by: p (sin? (6) cos (0) + cos ()) = 4

A: (10) Consider the given expression as shown below:

Q: Let I = fff, zdV , where D is bounded by the planes %3D 6. y = 0, z = 0, x+y = 2 and the cylinder y2…

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Q: A solid G is bounded by the paraboloid z = 4 – x2 – y², the cylinder 22 + y? = 4 and the plane z =…

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Q: Let C be the counterclockwise boundary of the region enclosed by the x-axis, the line y = x – 2, and…

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Q: 4. Use Stokes' Theorem to evaluate [ F• dr when z = 4-y F(x, y. 2)= xz° 7+(x+z*)7+ -x |k. Let C is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: In a metal plate located in the X, Y plane, the temperature at any point (x, y) is given by the…

A: Suppose we have pair of lines .To solve these pair of two linear equation we can use substitution…

Q: 7. Which surface is parameterized by ř(u, v) = (u, uv, v) for –1 < u <1 and –1< v< 1?

A: r→(u, v) = u, uv, v for -1≤u≤1 and -1≤v≤1The parametric curve is  Option C is correct.

Q: 3) Evaluate the double integral fS, dr dy where D is the region bounded by the hyperbolas ry = 2, ry…

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Q: Q17// If F = i+ yj + k, Evaluate F dv where V is region bounded by the plane z=0 and the surface x?…

A: Given F=i+yj+k

Q: If F = xy?i + yz? j + zx2k, and S is the region bounded by the triangle with vertices (1,0,0),…

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Q: Q17// If F =i+ yj + k, Evaluate S F dv where V is region bounded by the plane z-0 and the surface x2…

A: Consider the provided question, Given, F=i+yj+kEvaluate ∫vFdvwhere V is region bounded by the plane…

Q: b) Given F(x, y, z) = (x³ + cosh z) i+(2y³ – 3x²y) j – (x² + 4y²z) k. Use Gauss's theorem to…

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Q: Determine | z²ds where S is the surface that consists of a piece of sphere, x² + y² + z² = 16 above…

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Q: Which of the following are suspaces of 1 2 1 R4 whereu , v = 1 -1] Select one or more: A. {w; w. v =…

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Q: Let R be the region in the ry-plane such that /| f(z, y) dA = |(2, y) dy de + | f(x,y) dy dx, (x-2)2…

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Q: Q14// If F = 4i + yj + xk , Evaluate F dv where V is region bounded by the plane z=0 and the surface…

A: Consider the provided question, F=4i+yj+xk We need to evaluate ∫Fdv where V is region bounded by the…

Q: Use the map G(u, v): = a = 5, b = 10, c = 3. b a y=cx u uv v+1' v+1 f (x + y) (x + y) dx dy = to…

A: By changing the variables of integration according to given map, we can find the value of given…

Q: Verify Green's theorem Where C is the boundary of the triangle formed by x=3 , y=0 , x2= 3y

A: Verify Green's theorem Where C is the boundary of the triangle formed by x=3 , y=0 , x2= 3y

Q: Evaluate f(V x F) dS where S is the surface x² + y² +3z² = 1, z ≤0 and F = (y, -x, zx³y²). Let the…

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