Suman Cole
2020-11-01
Answered

Given the following function:
$f\left(x\right)=1.01{e}^{4x}-4.62{e}^{3x}-3.11{e}^{2x}+12.2{e}^{x}-1.99$
a)Use three-digit rounding frithmetic, the assumption that ${e}^{1.53}=4.62$ , and the fact that $e}^{nx}={\left({e}^{x}\right)}^{n$ to evaluate $f\left(1.53\right)$
b)Redo the same calculation by first rewriting the equation using the polynomial factoring technique
c)Calculate the percentage relative errors in both part a) and b) to the true result $f\left(1.53\right)=-7.60787$

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