Recent content by morson

  1. M

    Integrating the Unsolvable: $\int x^xdx$

    Your first approach was good. Taylor Series. Integrate term-by-term. Then leave it as such. That's all you should do.
  2. M

    Understanding what you're doing.

    Yes, always helpful to understand the concept.
  3. M

    Domain & Range of 2x^2 + 4x - 3

    Derivatives should not even be considered when determining the domain and range of a real-valued quadratic function. There exists quite an easy way to express f(x) = ax^2 + bx + c, a \not=\ 0 in the form f(x) = a(x - h)^2 + k. If a is negative, then k is the maximum value of the function, and if...
  4. M

    Medical Are Dreams and Hallucinations Similar from a Neurological Perspective?

    Hypnosis should not be thought of as a tool for tricking or deceiving people exclusively. It is used often in therapy and to lower stress levels.
  5. M

    Medical Behavioral neuroscience, neural connections, synapses

    Remember, we're not even considering behaviour at the atomic level here, so understanding the transmission and impulse of neural information and the interaction between transmitters and axon terminals and dendrites and axons is already a lot easier and more convenient, given the nanotechnology...
  6. M

    Integration technique: Multiplication by a form of 1.

    Take the simple case \int \frac{d\theta}{cos(\theta)}\ Multiply the integrand by \frac{cos(\theta)}{cos(\theta)}\ , which is 1, and you get: \int \frac{cos(\theta)d\theta}{cos^2(\theta)}\ = \int \frac{cos(\theta)d\theta}{1 - sin^2(\theta)}\ Then, if you put u = sin(\theta), and make all...
  7. M

    Another question about the domain in a compound function

    VietDao made the point that "Derive" is correct iff x ≠ 3. I'd also like to point out that if (\sqrt{x})^2 is a complex valued function, then (\sqrt{x})^2 = x for all x £ C. In general, if f(z) is a complex valued function and f(z) = g(z) is a relation, then f(z) = g(z) for all z £ C. If f(x)...
  8. M

    Calculate Definite Integral: 0.43890022x from 1 to 10

    Right, so it would be pointless to show you how to obtain the answer, because you don't know how to do it! You just want the answer! Have you even given it a go?
  9. M

    Alternate Method for solving two Second Order DEs.

    Does your textbook have a method for solving equations of the form: DQy" + My' + Ny = DQ^2 where D, Q, M, and N are all functions of x. Because both your equations are of that form. The homogenous equation for the first one is not too far off an Euler equation, so maybe that might help? The...
  10. M

    Medical Are Dreams and Hallucinations Similar from a Neurological Perspective?

    They're both altered states of consciousness, though the clear difference is that dreaming and day dreaming are naturally occurring and can't be induced, like hallucinations can from hallucinogens.
  11. M

    Is Our Universe Infinite or Spherical?

    I merely have a problem with one person saying that the universe is infinite while it is extending at the same time. If it was infinite, it would not have a bound, would it not?
  12. M

    Finding the Range & Domain of y = 24 - 2x

    y > 0 implies 24 - 2x > 0 implies x < 12 x > 0 implies 12 - 0.5y > 0 implies y < 24 So: 0 < x < 12 And: 0 < y < 24 Good work. Also, don't apologise for wanting help.
  13. M

    Is Our Universe Infinite or Spherical?

    This notion I can never digest. People propose that the universe is boundless and ever-stretching, but doesn't the concept of the universe continuing to stretch refute the theory that it is infinite? Only a finite structure can be stretching and growing at a point in time. Just because we can...
  14. M

    Medical Location of brain component responsible for nociceptive reception

    If you are cut by a blade on the finger, the sensory receptors in the somatic nervous system in your fingers will respond and send neural impulses to the central nervous system (the brain). The specific part of the brain that receives this sensory input is the primary somatosensory cortex in the...
  15. M

    Should I write a calculus level paper?

    Abraham de Moive discovered his formula without using Euler's identity, and before Euler's identity. If I recall correctly, he used series expansions.
Back
Top