MHT CET20242 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The approximate value of [3] 0 026 is

Options

A0.2762
B0.2963
C0.2632
D0.2692

Correct answer

B. 0.2963

Step-by-step solution

Let f (x)= [3] x =x^ 1 3 f ^ (x)= 1 3 x^ - 2 3 = 1 3 x^ 2 3 Here, a =0.027 and h =-0.001 aligned & f(a)=f(0.027)=(0.027)^ 1 3 =0.3 and & f ^ ( a )= f ^ (0.027) & = 1 3(0.027)^ 2 3 & = 1 3(0.09) = 1 0.27 & f ( a + h ) f ( a )+ hf ^ ( a ) & 0.3- 0.001 0.27 & 0.3-0.0037 & 0.2963 aligned

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