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question archive Consider the function f(x)=4sinx + x2 + 5x - 10 with domain on the closed interval [0,2pi]

Consider the function f(x)=4sinx + x2 + 5x - 10 with domain on the closed interval [0,2pi]

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Consider the function f(x)=4sinx + x2 + 5x - 10 with domain on the closed interval [0,2pi].

a) show that f(x) is increasing on its domain. please explain reasoning

b) find the intervals where f(x) is concave up and the intervals where it is concave down, and any points of inflection

 

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