Hahahaha thanks! This gave me a good laugh

No, copilot solve this test

Answer:

To solve the expression ( e^{\int_01 x^2+x+1 , dx} ), we first need to calculate the integral of ( x^2+x+1 ) from 0 to 1.

The integral of ( x^2+x+1 ) is: [ \int x^2+x+1 , dx = \frac{x^3}{3} + \frac{x^2}{2} + x + C ]

Evaluating this from 0 to 1 gives us: [ \left[ \frac{x^3}{3} + \frac{x^2}{2} + x \right]_0^1 = \left( \frac{1}{3} + \frac{1}{2} + 1 \right) - \left( 0 + 0 + 0 \right) = \frac{11}{6} ]

Now, we raise ( e ) to the power of this result: [ e^{\frac{11}{6}} ]

This is the solution to the given expression. If you need a numerical approximation, ( e^{\frac{11}{6}} ) is approximately 4.953.

Summary: The article from EL PAÍS discusses a study predicting a significant decline in the global population by 2100. Here’s a summary:

Global Population Decline: The study, published in The Lancet by the Institute for Health Metrics and Evaluation, forecasts that by 2050, 155 out of 204 countries will have fertility rates too low to maintain their populations. By 2100, this will rise to 97% of countries.

Fertility Rate Drop: The fertility rate is plummeting worldwide. For instance, Spain’s fertility rate decreased from 2.47 children per woman in 1950 to 1.26 in 2021, with projections of 1.23 in 2050 and 1.11 in 2100. This trend is mirrored globally, with France, Germany, and the European average also experiencing declines.

Economic and Social Impact: The study urges governments to prepare for the economic, health, environmental, and geopolitical challenges posed by an aging and shrinking population.

Regional Differences: While rich countries already face very low fertility rates, low-income regions start from higher rates. Sub-Saharan Africa, for example, will see a significant increase in its share of global births, from 18% in 2021 to 35% in 2100.

Migration as a Temporary Solution: The authors suggest that international migration could temporarily address demographic imbalances, but as fertility decline is a universal phenomenon, it’s not a long-term solution.

The article highlights the need for strategic planning to address the impending demographic shifts and their associated challenges¹.

Reason: historic invaders

https://britainexplained.com/why-british-places-have-such-strange-names/

Fair point. Methods may vary, result is the same

Brave yes, the chance of falling out of a window has increased infinite fold

Interestingly, the link leads to project T…

Good idea to watch this with all this misery in the world

Edit: available on Disney+