Question: Let g(t) = t sin t. (a) Plot the graph of g with a graphing utility for 0 t 4. (b) Show

Let g(t) = t − sin t.
(a) Plot the graph of g with a graphing utility for 0 ≤ t ≤ 4π.
(b) Show that the slope of the tangent line is nonnegative. Verify this on your graph.
(c) For which values of t in the given range is the tangent line horizontal?

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