bac-s-maths 2023 Q3

bac-s-maths · France · bac-spe-maths__centres-etrangers_j2 1 marks Exponential Functions Parameter Determination from Conditions

Consider the function $g$ defined on $[0; +\infty[$ by $g(t) = \frac{a}{b + \mathrm{e}^{-t}}$ where $a$ and $b$ are two real numbers. We know that $g(0) = 2$ and $\lim_{t \rightarrow +\infty} g(t) = 3$. The values of $a$ and $b$ are:
A. $a = 2$ and $b = 3$
B. $a = 4$ and $b = \frac{4}{3}$
C. $a = 4$ and $b = 1$
D. $a = 6$ and $b = 2$

D. $a = 6$ and $b = 2$

Consider the function $g$ defined on $[0; +\infty[$ by $g(t) = \frac{a}{b + \mathrm{e}^{-t}}$ where $a$ and $b$ are two real numbers. We know that $g(0) = 2$ and $\lim_{t \rightarrow +\infty} g(t) = 3$.\\
The values of $a$ and $b$ are:\\
A. $a = 2$ and $b = 3$\\
B. $a = 4$ and $b = \frac{4}{3}$\\
C. $a = 4$ and $b = 1$\\
D. $a = 6$ and $b = 2$

Paper Questions

QExercise 2 QExercise 3 QExercise 4 Q1 Q2 Q3 Q4 Q5