Problem 16. Use linear approximation, ie. the tangentne, to approximate [tex] \sqrt{36.1} [/tex] as follows:[tex]f(x) \: at \: x = 36[/tex]The equation of the tangent ine in slope-intercept form to can be written in the form y=mx +b where:Using this, we find our approximation for[tex] \sqrt{36.1} [/tex]for last part give 6 significant figures or fractions

Answer :

y = mx + b

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y =

x = 36 and b = 0

m = 1

b = 0

squared root of 36.1 = 6.00833

[tex]y\text{ = }\sqrt[]{x\text{ }}+\text{ b}[/tex]

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