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Using differentials, find the approximat...

Using differentials, find the approximate value of each of the following up to 3 places of decimal.
`(i) sqrt(25.3)" "(ii)sqrt(49.5)`
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AI Generated Solution

To find the approximate values of \( \sqrt{25.3} \) and \( \sqrt{49.5} \) using differentials, we will follow these steps: ### Step 1: Define the function and its derivative Let \( f(x) = \sqrt{x} \). We need to find the derivative \( f'(x) \): \[ f'(x) = \frac{1}{2\sqrt{x}} \] ...
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