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$17-18 \text { Verify the linear approximation at }(0,0)$ $$ \sqrt{y+\cos ^{2} x} \approx 1+\frac{1}{2} y $$...

Question

$17-18 \text { Verify the linear approximation at }(0,0)$ $$ \sqrt{y+\cos ^{2} x} \approx 1+\frac{1}{2} y $$

$17-18 \text { Verify the linear approximation at }(0,0)$ $$ \sqrt{y+\cos ^{2} x} \approx 1+\frac{1}{2} y $$



Answers

Verify the given linear approximation at $ a = 0. $ Then determine the values of $ x $ for which the linear approximation is accurate to within 0.1.
$ \sqrt [4]{1 + 2x} \approx 1 + \frac {1}{2}x $


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