(5) For any number c, we let fe(x) = min {(x – c)², (r – c – 2)² }. Then we define g(c) = So fc(x) dx. Find the maximum and minimum values of g(c) if -2

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A:

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A: ∫-33f(z) dz = 0  ,    ∫-35 f(z) dz   = 5find -∫356f(x) dx∫abf(x) dx    = ∫acf(x) dx   +∫cb f(x)…

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A:

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A:

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A:

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A: To evaluate

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A: Please refer to the image below.

Q: 1. Evaluate the integral of x2 (3 - 2x) dx if upper limit = 2 and lower limit = -1. а. 12 b. -12 C.…

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Q: Determine the nth Taylor polynomial of f(x) = 1/x at x = 1.

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Q: 9-x2 18-x²-y² xydzdydx. B: Find the integral fo J

A: Triple integral

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Q: 1 Evaluate the improper intergal | dx (x2 + 9)° using the residue theorem.

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A: The integral has been solved n attached in the second step.

Q: Show that if an integration formula of the type I„(f) =£w;f(x;) j=1 is exact for 1, x, x², ...x",…

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