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Suppose that we don't have a formula for g (x) but we know that g (3) = ?5 and g '(x) = x2 + 7 for all x. (a) Use a linear approximation to estimate g(2.99) and g (3.01). g(2.99) ? g(3.01) ? (b) Are your estimates in part (a) too large or too small? Explain.
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