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  1. How can x^0 be equal to 1? - Physics Forums

    May 29, 2007 · The discussion centers on the mathematical principle that any non-zero number raised to the power of zero equals one, expressed as a^0 = 1 for a ≠ 0. Various proofs are …

  2. Does X times 0 always equal 0 or are there exceptions?

    Mar 10, 2016 · The discussion centers on the mathematical assertion that X times 0 equals 0, with a focus on the implications of undefined or indeterminate values. Participants clarify that the …

  3. In algebra what does x represent? - Physics Forums

    Nov 19, 2020 · The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work …

  4. Proving sin^0 (x): Is it 0, x, or Something Else? - Physics Forums

    Oct 15, 2011 · The discussion centers on the interpretation of sin^0 (x) within the context of mathematical induction and integrals involving sine functions. Participants clarify that sin^n (x) …

  5. Why Does sqrt(x^2) Equal |x| and Not Just x or -x? - Physics Forums

    May 29, 2009 · The equation sqrt (x^2) = |x| is established as a definition in mathematics, where the square root function is defined to return the non-negative root. This is necessary because …

  6. Does limit 1/x at zero equal infinity? How it is accepted in High ...

    Oct 9, 2023 · The limit of the function 1 x as x approaches zero is defined as undefined in contemporary high school and university calculus curricula in the US and Canada. Specifically, …

  7. Why does a^x = e^(x(lna)) and how can this help with finding the ...

    Apr 4, 2012 · The discussion centers on the mathematical transformation of the function a^x into e^ (x (ln (a))) to facilitate finding its derivative using the chain rule. Participants confirm that …

  8. What does sinxcosx equal? - Physics Forums

    Feb 4, 2013 · What does sinxcosx equal?Physics news on Phys.org THz spectroscopy system bypasses long-standing tradeoff between spectral and spatial resolution Optics research uses …

  9. Why does multiplying by 0 equal 0? - Physics Forums

    Dec 18, 2008 · But what about an actual number? Why does (100*0) equal to 0? You're not multiplying anything, but shouldn't it still equal to 100? If I have 100 cookies on the table, and I …

  10. Where Does cos (x) Equal acos (x)? - Physics Forums

    Jun 18, 2016 · The discussion centers on solving the equation cos (x) = acos (x), where acos (x) is interpreted as arccos (x). Participants suggest using graphical methods to find intersections …