 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2015/paper-2/14/c/solution

P_{1} (t) = ⎩ ⎨ ⎧ 0, t / T_{1}, 1, t \leq 0, 0 < t < T_{1}, t \geq T_{1} .

Its graph is a straight ramp from

(0, 0)

(T_{1}, 1)

, followed by a horizontal plateau.

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