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1. This problem involves finding a rational approximation (i.e., a fraction) of sqrt(8.9/3.8)using linear approximations of...

1. This problem involves finding a rational approximation (i.e., a fraction) of sqrt(8.9/3.8)using linear approximations of two-dimensional functions and no calculator.

a) Identify a function f(x, y) and a point (x, y) = (x0, y0) that will allow this task to be accomplished efficiently.

b) Find the equation of the tangent plane to the function at that point.

c) Find the approximation written as a single fraction.

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