Suppose we don't have a formula for g (x) but we know that g (2) = - 4 and g' (x) + sqrt (x^2+5) for all x ... (a) use linear approximation to estimate g (1.95) and g (2.05). (b) Are your estimates in part (a) too large or too small? Explain.

Question

Mathematics

Azul Guerrero

23 October, 23:16

Suppose we don't have a formula for g (x) but we know that g (2) = - 4 and g' (x) + sqrt (x^2+5) for all x ... (a) use linear approximation to estimate g (1.95) and g (2.05). (b) Are your estimates in part (a) too large or too small? Explain.

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Valerie · Answer 1

So the question is to estimate the value of g (1.95) and g (2.05). So by calculating i came up with a values of both the given and here are the following:

G (1.95) = - 3.8 while the G (2.05) is 4.2.

I hope you are satisfied with my answer