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For each of the functions below, the floating-point evaluation of the given function is very inaccurate for the specified range of values of the parameters.
For each of the functions below, the floating-point evaluation of the given function is very inaccurate for the specified range of values of the parameters. In each case, find another expression that is mathematically identical to the given function and that is more accurate using floating-point computation than is the given form of the function (for the specified values of the parameters). Note. Do not use any Taylor polynomial approximations in this question. (a) f(1) = V8-1-V, when r is positive and large in magnitude. (b) g(x) = ln x - Iny, when I is close (but not equal) to y. (c) h(x) = 1 1 - 1, when |t| is very large. For each of the functions below, the floating-point evaluation of the given function is very inaccurate for the specified range of values of the parameters. In each case, find another expression that is mathematically identical to the given function and that is more accurate using floating-point computation than is the given form of the function (for the specified values of the parameters). Note. Do not use any Taylor polynomial approximations in this question. (a) f(1) = V8-1-V, when r is positive and large in magnitude. (b) g(x) = ln x - Iny, when I is close (but not equal) to y. (c) h(x) = 1 1 - 1, when |t| is very large
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