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What else can I help you with?
What is cresting mean?
it depends on what you are talking about if your talking about light here it is light can be classified as a wave when your talking about crests and troughs a crest is the top most part of the wave if you split the wave in half the trough has the same principle it is the lowest most part of the wave if you split it in half does that clarrify a little bit?
Angle refraction p wave snells law?
What is snell's law fefraction/reflection?
What did Fermat contribute to the field of calculus?
Fermat contributed to the development of calculus. His study of curves and equations prompted him to generalize the equation for the ordinary parabola ay=x2, and that for the rectangular hyperbola xy=a2, to the form an-1y=xn. The curves determined by this equation are known as the parabolas or hyperbolas of Fermat according as n is positive or negative (Kolata). He similarly generalized the Archimedean spiral, r=aQ. In the 1630s, these curves then directed him to an algorithm, or rule of mathematical procedure, that was equivalent to differentiation. This procedure enabled hi m to find tangents to curves and locate maximum, minimum, and inflection points of polynomials (Kolata). His main contribution was finding the tangents of a curve as well as its points of extrema. He believed that his tangent-finding method was an extension of his method for locating extrema (Rosenthal, page 79). For any equation, Fermat 's method for finding the tangent at a given point actually finds the subtangent for that specific point (Eves, page 326). Fermat found the areas bounded by these curves through a summation process. "The creators of calculus, including Fermat, reli ed on geometric and physical (mostly kinematical and dynamical) intuition to get them ahead: they looked at what passed in their imaginations for the graph of a continuous curve..." (Bell, page 59). This process is now called integral calculus. Fermat founded formulas for areas bounded by these curves through a summation process that is now used for the same purpose in integral calculus. Such a formula is: A= xndx = an+1 / (n + 1) It is not known whether or not Fermat noticed that differentiation of xn, leading to nan-1, is the inverse of integrating xn. Through skillful transformations, he handled problems involving more general algebraic curves. Fermat applied his analysis of infinitesimal quantities to a variety of other problems, including the calculation of centers of gravity and finding the length of curves (Mahoney, pages 47, 156, 204-205). Fermat was unable to notice what is now considered the Fundamental Theorem of Calculus, however, his work on this subject aided in the development of differential calculus (Parker, page 304). Additionally, he contributed to the law of refraction by disagreeing with his contemporary, the philosopher and amateur mathematician, René Descartes. Fermat claimed that Descartes had incorrectly deduced his law of refraction since it was deep-seated in his assumptions. As a result, Desc artes was irritated and attacked Fermat's method of maxima, minima, and tangents (Mahoney, pages 170-195). Fermat differed with Cartesian views concerning the law of refraction, published by Descartes in 1637 in La Dioptrique. Descartes attempted to justify the sine law through an assumption that light travels more rapidly in the denser of the two media involved in the refraction. (Mahoney, page 65). Twenty years later, Fermat noted th at this appeared to be in conflict with the view of the Aristotelians that nature always chooses the shortest path. "According to [Fermat's] principle, if a ray of light passes from a point A to another point B, being reflected and refracted in any manner during the passage, the path which it must take can be calculated...th e time taken to pass from A to B shall be an extreme" (Bell, page 63). Applying his method of maxima and minima, Fermat made the assumption that light travels less rapidly in the denser medium and showed that the law of refraction is concordant with his "principle of least time." "From this principle, Fermat deduced the familiar laws of reflection and refraction: the angle of reflection; the sine of the angle of incidence (in refraction) is a constant number times the sine of the angle of refraction in passing from one medium to anot her" (Bell, page 63). His argument concerning the speed of light was found later to be in agreement with the wave theory of the 17th-century Dutch scientist Huygens, and was verified experimentally in 1869 by Fizeau. In addition to the law of refraction, Fermat obtained the subtangent to the ellipse, cycloid, cissoid, conchoid, and quadratrix by making the ordinates of the curve and a straight line the same for two points whose abscissae were x and x - e. There is nothing to indicate that he was aware that the process was general, and it is likely that he never separated it his method from the context of the particular problems he was considering (Coolidge, page 458). The first definite statement of the method was due to Barrow, and was published in 1669. Fermat also obtained the areas of parabolas and hyperbolas of any order, and determined the centers of mass of a few simple laminae and of a paraboloid of revolution (Ball, pages 49, 77 , 108). Fermat was also strongly influenced by Viète, who revived interest in Greek analysis. The ancient Greeks divided their geometric arguments into two categories: analysis and synthesis. While analysis meant "assuming the pro position in question and deducing from it something already known," synthesis is what we now call "proof" (Mahoney, page 30). Fermat recognized the need for synthesis, but he would often give an analysis of a theorem. He would then state that it could easily be converted to a synthesis. Source:http://www.math.rutgers.edu/~cherlin/History/Papers2000/pellegrino.html
What is the range of y equals 1 2 cos x?
Your question is fairly vague, but I'm interpreting it as:What is the range of y=12cos(x)?Shortform:-1212(pi)/6-->6sqrt(3)~10.392(pi)/4-->6sqrt(2)~8.485(pi)/3-->6(pi)/2-->02(pi)/3-->-63(pi)/4-->-6sqrt(2)~-8.4855(pi)/6-->-6sqrt(3)~-10.392(pi)-->-12If you continue this, you'll notice that the values keep switching back and forth from 12 to -12 then back to 12, passing through all the values in between. This is to be expected, because if you look at the graph of cosine (as well as sine), it oscillates back and forth between two values, giving it a wave-like appearance. From this you can easily surmise that the maximum value that 12cos(x) will ever reach is 12 and the minimum it will ever reach is -12, giving you the range [-12,12].Conceptually, if you examine just the function cos(x), you realize that it oscillates back and forth between -1 and 1. So the function 12cos(x) will just take whatever results from cos(x) and multiply it by 12. Since the range of cos(x) is [-1,1], the range of 12cos(x) will just be 12 times the range of cos(x), [-12,12]. This works for any numerical amplitude modification of a sine or cosine function (putting a number in front of the function). The range of 5cos(x) would be [-5,5], the range of (pi)cos(x) would be [-(pi),(pi)], and so on for any real number.
The speed of an electromagnetic wave is equal to the product of its wavelength and its?
frequency. The speed of an electromagnetic wave is constant and is determined by the medium it travels through.
How does the wavelength of an electromagnetic wave relate to its frequency?
The wavelength of an electromagnetic wave is inversely proportional to its frequency. This means that as the frequency of the wave increases, its wavelength decreases, and vice versa.
What is the wavelength of an electromagnetic wave that travels at 3x10x10x10x10x10x10x10x10 ms and has a frequency of 60 MHz?
Wavelength is calculated in MHz not Hz, and the formula is Wavelength = 300 / MHz
What happens to the frequency and energy carried by an electromagnetic wave as the wavelength decreases?
As the wavelength of an electromagnetic wave decreases, the frequency of the wave increases. This means that the energy carried by the wave also increases, as energy is directly proportional to frequency. Therefore, shorter wavelength corresponds to higher frequency and energy in an electromagnetic wave.
If a wave travels at a constant speed the greater its wavelength the lower its what?
If a wave travels at a constant speed, the greater its wavelength, the lower its frequency. This is because frequency and wavelength are inversely proportional in a wave, according to the formula: speed = frequency x wavelength.
What determines the frequency of an electromagnetic wave?
The frequency of an electromagnetic wave is determined by the speed of light divided by the wavelength of the wave. This relationship is defined by the equation: frequency = speed of light / wavelength.
What equations tell us how fast a wave travels?
The speed of a wave can be determined by the equation: speed = frequency x wavelength. This equation relates the speed of a wave to its frequency and wavelength. Additionally, the wave equation, c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency, can be used to determine the speed of electromagnetic waves in a vacuum.
What is the relationship between the frequency and the wavelength and angular velocity of electromagnetic wave?
The frequency of an electromagnetic wave is inversely proportional to its wavelength, meaning a higher frequency corresponds to a shorter wavelength. The angular velocity of an electromagnetic wave is directly proportional to its frequency, so an increase in frequency will lead to an increase in angular velocity.
What is the relationship between the frequency and the wavelength of each electromagnetic wave?
The frequency and wavelength of an electromagnetic wave are inversely related: as frequency increases, wavelength decreases, and vice versa. This is because the speed of light is constant, so a higher frequency wave must have shorter wavelengths to maintain that speed.
If a wave travels at a constent speed the greater its wavelength the lower its?
frequency. This is because frequency and wavelength are inversely proportional in a wave - as wavelength increases, frequency decreases.
If you know the wavelength of an electromagnetic wave in a vacuum you can calculate its?
If you know the wavelength of an electromagnetic wave in a vacuum, you can calculate its frequency using the equation speed = frequency x wavelength, where the speed is the speed of light in a vacuum (approximately 3 x 10^8 m/s). The frequency of an electromagnetic wave is inversely proportional to its wavelength, so as the wavelength decreases, the frequency increases.
An electromagnetic wave with a longer wavelength has a lower?
frequency
