(c) f(x) = |x₁| + |x₂| for x = = (x1, x₂) € R².

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A: We will use basic integration.

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A: There are more than 3 sub parts in the question.We can answer first 3 sub parts per session (as per…

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Q: ked to calculate the specific heat of water at 61°C. The specific heat of water is given as a nction…

A: We can solve this using given information

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A: This question is related to ordinary differential equation.

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Q: 7) Consider a vector field F(x, y, z) = 3yi − xz j + yz².k. Let S be an equation of 2z = x²+y²…

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Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

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Q: rt - fe e2u f(u)du f(u)dut-

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Q: Q5: Use the quadratic interpolation and the following data to find f(1.4) X 1 1.2 1.3 F(x) 0.368…

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Q: c). Evaluate √√x² + y² ds along the curve r(t) = (4 cost)i + (4 sint)j +3tk, -2x≤t≤2π.

A: We solve the given line integral.

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Q: 1. equations i (a) 22 (b)

A: To conversion is given as, x=ρsin ϕcos θ, y=ρsin ϕsin θ, and z=ρcos ϕ. where, ρ2=x2+y2+z2 To convert…

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A: Let us solve the given question in the next step.

Q: Evaluat -3.x²

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