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Part $1$

a$.$ Write the equation of the line that represents the linear approximation to the following function at the given point a$.$

b$.$ Use the linear approximation to estimate the given quantity.

c$.$ Compute the percent error in the$$ approximation, $100$ times StartFraction StartAbsoluteValue approximation minus exact EndAbsoluteValue Over StartAbsoluteValue exact EndAbsoluteValue EndFraction

$,$ where the exact value is given by a calculator.

f left parenthesis x right parenthesis equals $11$ minus x squared at a equals $1$; $$f$(0\mathrm{.}9)$