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help with maths question? (functions)


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v'(t) = 0 = 2 - 2sin(2t), sin(2t) = 1, 2t = pi/2, t = pi/4. Note the next angle 5pi/4 exceeds the domain 0 to 2, so pi/4 is the answer.

Alternatively, at 0 = 2 - 2sin(2t), you can plug in pi/4 to get LHS = 0, RHS = 2 - 2sin(pi/2) = 2-2*1 = 0, LHS = RHS, pi/4 is k. 

So the short answer is that this is a differential calculus question, not simply a function question.

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