Question 1
A function is the mathematical way of describing a relationship between two sets of variables. In usual notation, the set of the independent variables x, is called the domain and the set of the dependent variables y is termed the range.
Most commonly encountered functions are
The linear function y = x, the quadratic function y = x2, the cubic function
y = x3, the exponential function y = ex, the logarithmic function y = log(x), and periodic functions such as y = cos x, y = sin x, the set of the variable quantity x is the domain, and the set of the corresponding values of the variable y constitutes the range.
Below I reproduce (courtesy of the mathsisfun website,
www.mathsisfun.com/sets/functions-common.html), in descending order,
the linear, quadratic,
cubic, logarithmic,
the sine, and the exponential functions graphs.
Question 2
Carbon dating is the method whereby the age of very old objects is estimated.
The method consists of measuring the current radioactivity of the specimen due to its unstable (and rare) carbon isotope 14C content and comparing it with the average background radioactivity of the atmosphere. (Willard Libby 1947). The specimen must contain remains of a plant. So long as the plant was alive its radioactivity due to the intake of CO2 from the atmosphere was equal to the radioactivity of the atmosphere however when it died, the amount of 14C in it began to fall due to the radioactive decay of this element into nitrogen (14N). The half-life of 14C, defined by T_(1/2)=(ln(2))/λ, can be measured experimentally and is found to have the value 1.808 ×〖10〗^11 seconds. The above expression results from the fact that nuclear decay, and therefore the radioactivity of a radioactive...
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... mount Everest at 8863 m from the surface of the Earth, and using the known values of the weighted molar masses of oxygen and nitrogen, the gravitational acceleration constant, the gas constant, and assuming a temperature of 273 K (or 0 degrees Celsius), (Calter and Calter, 2011.) we obtain a pressure of about 0.034 mega pascal which is equivalent to 0.33 atmosphere which is a third of what we have at sea level.
References
1 P. Calter and M. Calter, Technical Mathematics, 6th ed. Jonh Wiley and Sons, 2011.
2 The Wolfram Functions Site,
www.functions.wolfram.com.
3 D. Halliday, R. Resnick, J. Walker, Fundamentals of Physics, John Wiley and Sons, 2005 (chapter 44).
4 Willard Libby – Noble Lecture: Radiocarbon Dating,
www.nobelprize.org/nobel_prizes/chemistry.
5 P. Schmidt and F. Ayers, Schaum’s Outline of College Mathematics, McGraw-Hill Companies, 2010.
By John Schilb and John Clifford. 5th ed.
Points on a coordinate plane that are or are not connected with a line or smooth curve model, or represent, a relationship in a problem situation. In some problem situations, all the points on the coordinate plane will make sense. In other problem situations, not all the points will make sense. In addition, when you model a relationship on a coordinate plane, it is up to you to consider the situation and interpret the meaning of the data values shown.
5. Collected Papers, Charles Hartshorne and Paul Weiss, (edd.) (Cambridge: The Belknap Press of Harvard University Press, 1960). Volume and page number, respectively, noted in the text.
Hewitt, Paul G. Conceptual Physics 10th Edition. 10th ed. San Francisco: Pearson Addison Wesley, 2006.
... middle of paper ... ... Brown, P., & Levinson, S. C. (1987).
Ever since people knew it was possible to reach the summits of Mount Everest, about 4,000 people have attempted to climb it and one in four people have died from doing so. “Once Everest was determined to be the highest summit on earth, it was only a matter of time before people decided that Everest needed to be climbed” (Krakauer 13). The very first person to reach the summit of Mount Everest was in 1953, and ever since then about seven percent out of every 4,000 people that attempted have died. In the novel, Into Thin Air by Jon Krakauer, he documents his journey to the summit of Mount Everest.
Below the graph consist of the intersections of the line ‘y = x’ , ‘y = 2x’ with the curve y = x4
16 Pierre-Daniel Templier, Erik Satie (Cambridge & London, MIT Press, 1969, trans. Elena L. French and David S. French), pp. 102
the root to the function, like if it is a parabola with its vertex is placed
For example, the slope of a line like 2x is 2, or 3x is 3 and so on. Also, the constant rule, the power rule, the constant multiple rule, the sum rule, and the difference rule are all common rules one should be familiar with when involved in calculus. A constant function is the simplest function and the differentiation rule for a constant function is:
"This Month in Physics History." This Month in Physics History. N.p., n.d. Web. 07 Jan. 2014.
Barbara Mowat and Paul Warstine. New York: Washington Press, 1992. Slethaug, Gordon. A. See "Lecture Notes" for ENGL1007.
Radiocarbon dating is used to tell how old something is. When some normal carbon gets hit by the rays of the sun, it turns into carbon 14. Plants absorb this radioactive carbon in the form of carbon dioxide. Animals receive this carbon from eating the plants. When the organism is dead it loses the carbon 14.
2) Fundamentals of Physics Extended: Fifth Edition. David Hanley, Robert Resnick, Jearl Walker. Published by John Wiley & Sons, Inc, New York, Chichester, Brisbane, Toronto, Singapore. 1997.