Find the orthogonal projection of f onto g. Use the inner product in C[a, b] (f, 9) = (r, "rx f(x)g(x) dx. Ja C[0, 1], f(x) = 4x, g(x) = e* projgf =

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A: Let's solve by using green theorem.

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A: Now given, ∇.∇×F=0 To prove the above.

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A: The solution are next step

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A: Please refer the attached image for complete solution.

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A: use the transform u=-6x+y, v=5x+ywe evaluate ∫∫R 5x+y dx dywhere R is the parallelogram bounded by…

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A: Let the given vector field is :

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A: This question is based on divergence of vector.

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A: Introduction: Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement…

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A: According to our guidelines we are supposed to do only one question.  Kindly repost other question…

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A: Vbb

Q: Find the orthogonal projection of f onto g. Use the inner product in C[a, b] (f, g) = f(x)g(x) dx.…

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Q: Find the orthogonal projection of f onto g. Use the inner product in C[a, b] (, 9) = [". f(x)g(x)…

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Q: Find the orthogonal projection of f onto g. Use the inner product in Ca, b] (f, 9) = ["«x»9(x) dx.…

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