3. Given f(x, y, z) over the tetrahedron T defined by 2x - 3y - 6z = 6 and the three coordinate planes. Draw T. Set up the triple integral of f over T in the following orders: A. dzdydz B. dydzdx

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A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

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A: The point where the line intersects co-ordinate planes, one of the co-ordinates must be zero.

Q: Find a number a so that the change of coordinates s = x + ay, t = y transforms the integral ff dady…

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Q: Let A = (1,1) and B = (1,5) be in the Poincar ́e plane. Find C = (xC,yC) for which xC > 1 and…

A: The natural point that comes in our mind is (2,6).

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Q: 1. Let F(x, y,z) = (x + y², y + z²,z + x²). Let C be the triangle with vertices (1,0,0), (0,1,0),…

A: Consider the provided question,

Q: The surfaces intersect in a space curve C. Determine the projection of C onto the xy-plane.…

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Q: (b) Prove that Vx, y ≤R : x² + xy + y² ≥ 0, and that x² + xy + y² = 0 if and only if x = y = 0.…

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Q: Find the distance from y to the plane in R spanned by the set {u1, uz} 4 - 3 -3 y = -9 -4 Uz 2 4 1…

A: Solution   Given,       Find the distance from  γ to the plane  in R3       spanned  by the  set…

Q: find the point of intersection for the following 3 planes  x–2y+z+6=0 2x+y–z+2=0 2x+y+3z+2=0

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Q: Use Stoke's Theorem to evaluate $. F · dR, where F (x, y, z) = (z²,xy, xz) and C is the triangle in…

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Q: Let x = (13, −20, 15), v1 = (1, −2, 3), and v2 = (−1, 1, 1). Then the set {v1, v2} is orthogonal. It…

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Let v = (3, 0, 0) and w = (0, 1, −1). Determine u = v × w usingthe geometric properties of the cross…

A: Cross product: more formally called the vector product a way of multiplying two vectors and produces…

Q: Construct a formal proof of validity of the argument. ~p (~pv~o) → ~(~ n) ~ m → (o → ~ n) m → ~n ::…

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Q: Let C be the positively oriented square with vertices (0, 0), (2,0), (2, 2), (0, 2). Use Green's…

A: Let the given square be OABC which is positively oriented.

Q: Find I, I, I, X, and y for the lamina bounded by the graphs of the equations. y = √√√x, y = 0, x =…

A: The region is bounded  by The graph of region

Q: A 1.82 kg particle has the xy coordinates (-1.46 m, 0.325 m), and a 3.65 kg particle has the xy…

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Q: dx dy, where D is the disk x2 + y² < 9. (x² + y?)3/2 Evaluate

A: The given integral is,

Q: 3.Find [, L (3x² + y)dydx

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Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: Determine the voctor ficld of F. F(x, y) = 12i - 4j

A: We have to draw vector field of given vector.

Q: Find the inverse Laplace transformations y(t) for the given Y(s) below. Hint: Please refer to the…

A: We use the properties of the Laplace transform and table of Laplace transform to answer the given…