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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ck208

For , the concentration of A at is (a smooth, convex decay). Select the correct statement(s).

  1. AThe instantaneous rate at is greater than .
  2. BThe average rate over - s is greater than over - s.
  3. CThe average rate over - s is .
  4. DThe instantaneous rate at s is greater than the average rate over - s.

Answer: A, B, C

Interval averages are , , (decreasing), and the - s average is . For a convex decaying curve the tangent at the start of an interval is steeper than the chord, so the initial rate exceeds 0.0160, while the rate at the end of the - s interval is smaller than its average.
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