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Black Book Advanced Problems in MathematicsMathematicsFunctions

Number of ordered pair (a, b) from the set A = 1, 2, 3, 4, 5 so that the function f(x) = x^3/3 + (a/2)x^2 + bx + 10 is an injective mapping for all x in R :

Options

  1. A13
  2. B14
  3. C15
  4. D16

Correct answer

C. 15

Step-by-step solution

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