If f(x) = 3x^ 2 + 15x + 5, then the approximate value of f (3.02) is (A) 47.66 (B) 57.66 (C) 67.66 (D) 77.66
If f(x) = 3x^ 2 + 15x + 5, then the approximate value of f (3.02) is (A) 47.66 (B) 57.66 (C) 67.66 (D) 77.66

Let   ……….(i)

 

   ……….(ii)

Changing  to  and  to  in eq. (i),

  ……….(iii)

Here,  and 

 From eq. (iii),  

Since,  and  is approximately equal to  and  respectively.

 From eq. (i) and (ii),

 

 = 

Therefore, the correct option is option (D).