16. Let f(x) be a differentiable function defined on [0, 2] such that f (x) = f (2 - x) for all x e (0, 2), f(0) = 1 and f(2) = e?, Then the value of [f(x)dx is : (1) 1 - e? (3) 2(1 - e?) (2) 1 + e (4) 2(1 + e?)

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A: Given, f(x)= 3x(x-1)2 be a function in [1,∞). We need to find the solution to the equation f(x)= 78

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Q: 9: Check Euler's Theorem for the Function

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Q: Let f: Z → Z be defined by f(x) = x² + 1, and let C = {1,2,3}.

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Q: (x +1)4 – y² Let f(x, y) = { (x + 1)4 + y? - if (x, y) # (–1,0) -1 if (x, y) = (-1,0) a. Show that f…

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Q: • If f(x)= |sgn(x – 1)| then, 1. D; = R R; = {1,0, –1} 2. D; = [1,0) R; = {1,0} 3. D; = R R; = {1,0}…

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