Recent questions in Upper Level Math

Anish Buchanan
2021-10-05
Answered

The following definition is discussed in advanced mathematics courses. \(f(x)=\begin{cases} 0 & \text{if xx is a rational number}\ 1 & \text{if xx is an irrational number} \end{cases}\)

Evaluate \(f(−34)\), \(-\sqrt2\), and \(\displaystyle{f{{\left(\pi\right)}}}\).

Brittney Lord
2021-09-30
Answered

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x years old is \(f(x)=0.0069502x2−1.6357x+93.76 (60≤x≤75)\) years. What is the life expectancy of a female whose current age is 65? Whose current age is 75?