Engineering Board Exam Reviewer · Differentials and Linear Approximation · medium

Use differentials to approximate sqrt(26).

1. 5.1
2. 5
3. 5.2
4. 5.5

Answer

A. 5.1

Solution

Let f(x)= x at x=25, dx=1: sqrt(26) (25)+ 12sqrt(25)(1)=5+0.1=5.1.

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