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2026

A Dolphin jumps and taken a path given by the equation
h(t) = 2 (-7t 2 + 3t + 2), (t ≥ 0) , h(t) is the height of the Dolphin at any point of
time.

  1. Is the function differentiable for t ≥ 0? Justify.
  2. Find the instantaneous rate of change of height at t = 14 .
  3. h(t) is increasing in (-∞, 14). Is this true or false? Justify.
  4. Find the time at which the Dolphin will attains the maximum height. Also find the maximum height.

Specimen paper · 2026 · CollegeDekho (mirror of CISCE PDF)

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