Two approximations of produced absolute errors of 0.030 when and 0.015 when

MATHEMATICS · Subjective · CBSE · Mathematics · Proportional Reasoning-2 · Proportional Reasoning-2

Problem

Two approximations of

y(2)

produced absolute errors of 0.030 when

h=0.15

and 0.015 when

h=0.075

. Assuming the absolute error is directly proportional to the step size

h

, determine the largest step size that would keep the absolute error below 0.004.