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  • 23 Comments
Joined 1 year ago
Cake day: July 5th, 2023
  • Usernamealreadyinuse@lemmy.worldtoScience Memes@mander.xyz•funny title goes hereEnglish
    2·
    6 months ago

    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.

  • Usernamealreadyinuse@lemmy.worldtoScience Memes@mander.xyz•I've noticed that people make the 'surface of the sun' temperature comparison a lotEnglish
    25·
    8 months ago

    fascinating range

    Stove (while being used): 200°C to 300°C when in use.

    Core of the Earth: In general, temperatures range from about 4,400°C (7,952°F) to about 6,000°C (10,800°F)

    Surface of the Sun: approximately 5,500°C (9,800°F)

    Core of the Sun: The Sun’s core is where nuclear fusion occurs, converting hydrogen into helium. The temperature at the Sun’s core is an astonishing 27 million°C (15 million°F) It’s the hottest part of our solar system.

    Random Examples:

    • Lightning Bolt: A lightning bolt can reach temperatures of 30,000°C (54,000°F) during discharge.
    • Lava Flow: Molten lava from a volcanic eruption can range from 700°C to 1,200°C (1,292°F to 2,192°F).
    • Spacecraft Reentry: During reentry into Earth’s atmosphere, spacecraft experience temperatures of about 1,650°C (3,002°F).
    • Boiling Water: Boiling water on your stove reaches 100°C (212°F) at sea level.
    • Liquid Nitrogen: Liquid nitrogen, used in cryogenics, is extremely cold at around -196°C (-321°F).
    • Absolute Zero: The theoretical lowest temperature, known as absolute zero, is -273.15°C (-459.67°F).
  • Usernamealreadyinuse@lemmy.worldtoScience@mander.xyz•This psychedelics researcher approached his death with calm and curiosity
    15·
    11 months ago

    Tldr: The article is about the research of Roland Griffiths, a professor of psychiatry and behavioral sciences at Johns Hopkins University, who studies the effects of psychedelic drugs such as psilocybin, the active ingredient in magic mushrooms, on human consciousness. He has conducted experiments with healthy volunteers and people with depression, anxiety, addiction, and terminal cancer, and found that psilocybin can induce profound and lasting changes in mood, personality, and spirituality. He also explores the similarities and differences between psilocybin-induced states and those achieved by meditation. He believes that psilocybin can help people overcome their fear of death, find meaning in life, and reconnect with themselves and others. He hopes that his research will contribute to the scientific understanding of the nature of consciousness and the potential benefits of psychedelic therapy