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TIMO 2017 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 5 Question 12

TIMO · TIMO 2017 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 5

Question 12

For $-3\le x\le3$, find the maximum of $x+\sqrt{9-x^2}$.
  1. 3
  2. $3\sqrt2$
  3. 6
  4. $3\sqrt3$