29 1 Use linear approximation ie the tangent line to approxi

2-9 #1

Use linear approximation, i.e. the tangent line, to approximate $\"\\sqrt$ as follows:
Let $\"f(x)$ . The equation of the tangent line to $\"f(x)\"$ at $\"x$ can be written in the form $\"y$ where $\"m\"$ is:
and where $\"b\"$ is:
Using this, we find our approximation for $\"\\sqrt$ is
NOTE: For this part, give your answer to at least 9 significant figures or use fractions to give the exact answer.

m = 1/2/sqrt(x) = 1/2/5 = 1/10 f(25) = 5 y - 5 = 1/10(x-25) y-5 = 1/10 x - 5/2 c = 5/2 sqrt(25.2) = 5.02

2-9 #1 Use linear approximation, i.e. the tangent line, to approximateas follows: Let. The equation of the tangent line toatcan be written in the formwhereis:

29 1 Use linear approximation ie the tangent line to approxi

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