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MHT CET20243 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The approximate value of (30^ , 30^ ) is, given that 1^ =0.0175^ and 30^ =0.8660

Options

  1. A0.8778
  2. B0.7666
  3. C0.7916
  4. D0.8616

Correct answer

D. 0.8616

Step-by-step solution

aligned & (30^ , 30^ ) & Let f (x)= x & f ^ (x)=- x & f ^ (x)=- x & Now, 30^ 30^ =30^ +30^ & =30^ + ( 1 2 )^ & = & 30^ + 0.0175 2 & 30^ 30^ =30^ +0.00875 aligned aligned & Let a =30^ and h =0.00875 & (30^ , 30^ )= f ( a + h ) & f ( a )+ h f ^ ( a ) & f (30^ )+0.00875 f ^ (30^ ) & (30^ )-0.00875 (30^ ) & 0.8660-0.00875 0.5 & 0.8616 aligned

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