Consider the following. S S ST 6x² dv where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1). (a) Describe the region D which is the projection of T over the xy-plane. (b) Describe the region T. (c) Evaluate the triple integral.

Q: Find the centroid of the region bounded by the given curves. 19) The region bounded by the parabola…

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Q: 5) Consider the parallelogram with vertices (0,0), (4,0), (6,2) & (2, 2). We know the area of this…

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Q: Use Green's Theorem to evaluate the following integral Let² dx + (5x + 9) dy Where C is the triangle…

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Q: Evaluate the line integral (2x-y+6)dx + (5y + 3x - 6)dy, for which the path C traverses C around a…

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Q: Compute the line integral: y² dx + x² dy two ways. C

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Q: Q.2: Let C be the line joining A(-1,0), B(0,1), D(1,1), and E(2,0). Evaluate: Scy dz tor and radius…

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Q: Jo F dr, where F = (3-2y, x-1, -2z) and C is the boundary of a triangle with vertices (0, 0, -3),…

A: Given F=3-2y, x-1, -2z C is the boundary of a triangle with vertices (0, 0, -3), (0, 4, 5), (2, 0,…