Question: 1. Find minimum/maximum points for function f(x) = x - sinx in each of the following intervals: (0, 1), (2, 3), (5,6) and (1,8). (Note:

1. Find minimum/maximum points for function f(x) = x - sinx in each of the following intervals: (0, 1), (2, 3), (5,6) and (1,8). (Note: the values are radians for trigonometrical functions). If the function cannot be minimized or maximized, give justification. What are the minimum and/or maximum values of the function in each interval? 2. Find the minimum/maximum point for convex function f(x,y) = x2 + 2y2 3x + 5y + 1 in domain (x, y) E R2. If the function cannot be minimized or maximized, give justification. What are the minimum and/or maximum values of the function? 1. Find minimum/maximum points for function f(x) = x - sinx in each of the following intervals: (0, 1), (2, 3), (5,6) and (1,8). (Note: the values are radians for trigonometrical functions). If the function cannot be minimized or maximized, give justification. What are the minimum and/or maximum values of the function in each interval? 2. Find the minimum/maximum point for convex function f(x,y) = x2 + 2y2 3x + 5y + 1 in domain (x, y) E R2. If the function cannot be minimized or maximized, give justification. What are the minimum and/or maximum values of the function
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