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MHT CET202410 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The approximate value of x^3-2 x^2+3 x+2 at x=2.01 is

Options

  1. A8.07
  2. B8.27
  3. C8.007
  4. D8.17

Correct answer

A. 8.07

Step-by-step solution

aligned & f (x)=x^3-2 x^2+3 x+2 & f ^ (x)=3 x^2-4 x+3 aligned Here, a =2, ~h =0.01 aligned f ( a ) & =(2)^3-2(2)^2+3(2)+2 & =8-8+6+2 & =8 aligned aligned f ^ ( a ) & =3(2)^2-4(2)+3 & =12-8+3 & =7 aligned aligned f ( a + h ) & = f ( a )+ hf ^ ( a ) & =8+(0.01) 7 & =8+0.07 & =8.07 aligned

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