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3136 Use a linear approximation (or differentials) to estimate the given number. 31. (1.999)4 32. 1/4.002 33. {/1001 34. / 100.5 35. 60 36. cos

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3136 Use a linear approximation (or differentials) to estimate the given number. 31. (1.999)4 32. 1/4.002 33. {/1001 34. \\/ 100.5 35. 60" 36. cos 29 52. Suppose that we don't have a formula for g(x) but we know thatg(2) = 4 and g'(x) = ./x2 + 5 for all x. (a) Use a linear approximation to estimate g(l .95) and g(2.05). (b) Are your estimates in part (a) too large or too small? Explain

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