Evaluate the line integral Jox² xz+yz ds where C is represented by r(t) = (t - 1,1-t, 1-t) with 0 ≤ t ≤ 1.

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Q: (Section 17.6, 17.8) Consider F = xî – 2yĵ + ½ 2²k. Let S be the surface of the solid bounded by S₁:…

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Q: Divergence Theorem

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Q: 1. Classify the (0,0) equilibrium of each of the following 2x2 sys- tems by type and stability: -5…

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Q: PDE: Ut = = 36uxx, BC: u(0, t) = u(1, t) = 0 IC: u(x, 0) = 2 sin(27x), 0 0 u(x, t) = u(x,0) = 9…

A: D'Alembert's Principle:Let us consider the initial value problem

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Q: Problem #6: Suppose that A is a rectangular matrix such that 4 -1 E 4 -1 -1 -1 4 Problem #6(a): ATA…

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Q: Please answer True or False for the following Statements... 1. Let x be an integer. Then if 7x+4 is…

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Q: Can you please explain the solution attached below.

A: Here we have to explain the given attached solution.

Q: If A = 0 1 0 100 001 then det (A) = =

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A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…