Exercices de Anglais : Fictions et réalités

Choose the correct words to complete this sentence about the literary genre of dystopian fiction: 'Authors (use / uses) science fiction to (critique / criticizing) societal trends.' Then, consider a study where the number of dystopian themes identified in a novel is represented by $x$ and the author's social message clarity by $y$. The relationship is defined by the function $y = 3x + 2$. If an author includes $x = 4$ themes in their work, what is the value of $y$?

Read the following prompt and complete the exercise: 'Many dystopian novels suggest that technology controls human freedom. Write a short paragraph of between $80$ and $100$ words explaining whether you think social media acts as a tool for connection or a form of surveillance, reflecting on the theme of Fictions and Realities. Use at least two conditional structures (e.g., If we were..., we would...) and incorporate the specific vocabulary: $dystopian$, $privacy$, and $interconnectedness$.'

Read the following excerpt: 'The boundary between fiction and reality is porous. In our digital age, the rate of surveillance grows according to the model $S(t) = S_0 \cdot e^{kt}$, where $S(t)$ represents the total volume of individual data points collected at time $t$ (in years), and $S_0$ is the initial observation volume. Every user generates a daily quota of $N$ data points. We are witnessing an exponential confinement where the cumulative data harvested is defined by the integral $$D = \int_{0}^{T} S(t) dt$.'

1. Analyze why the author uses the exponential model $S(t) = S_0 \cdot e^{kt}$ to describe the shift from personal privacy to data-driven surveillance.
2. Calculate the total data accumulation $D$ over a period $T$ and explain how the parameter $k$ influences the 'reality' of digital confinement compared to the static nature of fictional dystopias.