Use linear approximation, i.e. the tangent line, to approximate [math] as follows. Let [math] and find the equation of the tangent line to [math] at [math] in the form [math].

Note: The values of [math] and [math] are rational numbers which can be computed by hand. You need to enter expressions which give [math] and [math] exactly. You may not have a decimal point in the answers to either of these parts.

[math] =

[math] =

Using these values, find the approximation.

[math]

Note: You can enter decimals for the last part, but it will has to be entered to very high precision (correct for 6 places past the decimal point).