Skip to content / Đến nội dung
ThichHocToan.com

MathNet 1963 — Part 01 Question 5

Math Olympiad Vault · MathNet 1963 — Part 01

Question 5

The performance tax of personal work is a function $f(x)$ of the total $x$ of annual remuneration (in pesetas). knowing that


a) $f(x)$ It is a continuous function.


b) the derivative $d f(x) / d x$ in the interval $0 \leq x\lt 60000$ is constant and equal to zero; in the interval $60000\lt x\lt P$ is constant and equal to 1; and to $x\gt P$ is constant and equal to 0.14 .


c) $f(0)=0$ y $f(140000)=14000$. Determine the value of the quantity $P$ of pesetas and graphically represent the function $y=f(x)$.