Consider the function on the interval (0, 2). Use a graphing utility to confirm your answers for parts (a) and (b). f(x) = 2. (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing + cos(x) (b) Apply the first derivative test to identify the relative extrema. (If an answer does not exist, enter DNE.) relative maximum (x, y) = 3 relative minimum (x, y) =

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A: Solution is given below:-

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A: To find:- xy2 + sin(πy) -2x2 = 10  To find:- Equation of tangent at point (2, -3) on given curve

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A: Since you have asked multiple questions in single request  so we  will be answering only first…

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A:

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A: Solution is written in below steps.

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A: Given