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Monday, April 8, 2013

Approximation - Error Problem, 2

Category: Differential Calculus, Arithmetic

"Published in Newark, California, USA"

Evaluate using the Approximation and Error Method for



without using a calculator.

Solution:

Consider the given number



Let





If        x = 1
then dx = 0.001

Substitute the values of x and dx to the above equation to solve for dy as follows









Therefore,









Check

If you will use a scientific calculator,



which is almost the same as the final answer.