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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f and g be two differentiable functions such that : f(x) = g'(1) x + (g''(2) - 1)xg(x) = x^2 - f' ( 2 )x + f'' (- 2 ) If g( x) f(x)-x dx = x + (h(x)) + C where C is constant and h ( 2 ) = 1 then | h ( 2 3 ) | is :

Options

  1. A3 2
  2. B2 3
  3. C3
  4. D1 3

Correct answer

B. 2 3

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