1. Let F(x) = | sin(t)dt. (a) Find all subintervals of [0, V27] where F is increasing/decreasing. (b) Find all subintervals of [0, v/27] where F is concave up/concave down. (c) Find the points of [0, v27] where F attains an absolute maximum/minimum. Be sure to justify why F has a maximum/minimum at the points you found.

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