# Calculus

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Let f be the function defined as follows.
$y = f(x) = {\color{red}5} x^2 -{\color{red}9} x +{\color{red}10}$
(a) Find the differential of f.
dy =

(b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.)
dy =

(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)
Δy =

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