Evaluate |[A.ndS where A = 2xyi+yzj+xzk and S is the surface of the region bounded by x = 0, y = 0, z = 0, y = 3 and x = 2z= 6 (refer Fig.) y-3 (0, 0, 3) X+2z=6 (6, 0, 0)

Q: 2. Find the area of the plane region bounded by the curves y = x2 – 2 and y = x

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Q: Find the integral surface of the linear pde (x-y)p-(x-y+z)q=a Which contains z=1 and x^2+y^2=1

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 4x3/2…

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Q: If R is the region boundeb by the square a|+|y = 1 then ffR(y-2)dA is equal

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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:

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 15 + 4x…

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Q: : List the vertices in R' of the convex region defined by Ax < b and x 0 where 2. A = 1 and b = 8. 1…

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Q: Evaluate yºda – x³dy, where C' is the boundary of the region between the circles œ² + 1² = 1 and x²…

A: The given problem is to evaluate the given line integral over the given path C where C is boundary…

Q: Let D = (a) § D. ds (b) , V. Ddv over the region defined by 0 ≤ p ≤ 5, -1 ≤z ≤ 1,0 < < 2. 2pz²a + p…

A: Given Information:Field: Range of each variables:To find:a)  b) Concept used:Flux of any field…

Q: Find the global min and max of the provided function on the provided region R: f(x,y) = x - y - xy…

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Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: Q3) (-3,2) (3,2) a) Evaluate | (2x – y²) dA, where Ris Triangular region given in figure 1. (0,-2)…

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Q: State the area of the region, determined by the lines, y = 13z, y = 2z + 2, y = 13z – 4, y = 2x + 7…

A: we will use transformation and jacobian here.

Q: 4. Given an example of a change of coordinates z= r(s,t), y = y(s,t) where every region in the st…

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Q: 3x + 4y = 8, 4y - 3x = 8, 4y - x² = 1. Sketch of the region D and describe its symmetry. Find the…

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Q: 1. Region R is bounded by the given curves. (i) Sketch R and label its boundaries. (ii) Indicate the…

A: Given, The equations of curves are x=-y-1, x=0, y=5.   i) To draw the region R bounded by the curves…

Q: Q3/ Find the area of the following surface z = x² + y lies in region x2 +y = 4.

A: Surface area is defined as a combined sum of all areas or parts and faces of the surface on a three…

Q: Determine a region of the xy-plane for which the given differentail equation would have a unique…

A: Given differential equation (y-x) y'=y+x   or    (x+y)dx+(x-y)dy=0 Note that differential equation…

Q: 1/(u + v), y (-u + v) 13. Use the change of variables (planar transformation) x = to evaluate ff(x +…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 4x3/2…

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