Give an example of a function that is one-to-one but not onto. Give an example of a function that is not one-to-one but onto.

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Q: 4. (a) Define a harmonic function. (b) Prove whether u(x, y) = ² - 2xy + y² is a harmonic function…

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A: please comment if need any clarification. If you find my answer useful please put thumbs up. Thank…

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Q: 7. Find divF and curlF if (₁. (b) F = · (x² + y²)i + (y² + z²)j + (x² + z²)k. 8. Find the gradient…

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Q: Identify if it is function or relation

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Q: Find F.T the: f(x) = 1 + cos (6πt + I) let: and 1-2T8 (W) Coswo T/S (W-Wo) + s (w+two)] Wo

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Q: Find the domain of f(x)=x² for 0<x<5. O (1,25] O (0,25) O [0,25] O [1,25)

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Q: 8. (a) Prove that if p and q are odd primes and q | a² - 1, then either q |a - 1 or else q=2kp + 1…

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Q: 7. Let A = [0,2), B = (1,3], and C = (2,00). In each region of a Venn diagram such as the one drawn…

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Q: Solve ²-4x+6y= log²

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Q: Sow that 2 x² + y² + z² - c²t² is Lorentz invariant.

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Q: Click to see additional instructions Suppose that the function f(x) is continuous everywhere.…

A: Suppose f(x) is any continuous function and the points (xj,yj) , j=1,...,(n-1) lie on the graph…