Mathematics, 15.10.2019 02:20 sylaspotter707
Consider the function f(x) = 1 − cos(x) x 2 . (a) evaluate limx→0 f(x) = l. (b) as x → 0, at what rate does f(x) → l? (c) compute f(x) as written on a computer for values of x = 10−1 , 10−2 , . . , 10−10. comment on your results. (d) suppose that we are able to represent floating point numbers with n decimal digits of accuracy. around what value of r will the evaluation of f(x) produce very large relative errors when |x| < r? (e) rearrange the expression for f(x) to a mathematically equivalent expression so that the this new function evaluates accurately for very small values of x. verify the success of your rearrangement computationally. a
Answers: 2
Mathematics, 22.06.2019 02:40
Factor the following polynomial completely 514 + 2013 - 1052 oa. 5121 + 3)( - ) ob. 51%(1 - 3)(1 + 7) oc. 5198 - 3)(x + 7) od 51%(+ 3)(x - 7)
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Mathematics, 22.06.2019 03:40
Amanufacturer knows that their items have a normally distributed lifespan, with a mean if 9.1 years, and standard deviation of 2.9 years. if you randomly purchase one item, what is the probability it will last longer than 10 years?
Answers: 3
Consider the function f(x) = 1 − cos(x) x 2 . (a) evaluate limx→0 f(x) = l. (b) as x → 0, at what ra...
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