Verify Green's Theorem by evaluating both integrals dx + x² dy = // | da ду дх for the given path. C: square with vertices (0, 0), (7, 0), (7, 7), (0, 7) v? dx + x² dy dA = ду ax R

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

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Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: -351 ye dc -3 tanx dx t. tan x (e-casx) dy =0

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Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

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Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

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Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

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A: To solve: sin⁡ydx+sin2⁡ydy+xdy=0…

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Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

A: