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Consider the following. (If an answer does not exist, enter DNE.) $f(x)=5sin(x)+5cos(x),0≤x≤2π$ (a) Find the interval(s) on which $f$ is increasing. (Enter your answer using interval notation.) $(0,4π )∪(45π ,2π)$ (b) Find the interval(s) on which $f$ is decreasing. (Enter your answer using interval notation.) $(4π ,45π )$ (c) Find the local minimum and maximum values of $f$. local minimum value local maximum value

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