Mathematics is a complex and sophisticated expression of ideas that embodies cognitive concepts along with, the notions of knowledge, understanding, and perception. The ability to write mathematically is just as important as possessing the ability to solve equations. The human population has an environmental impact on the Earth’s ecosystems, which is influenced by technology and the consumption of resources. Economic researchers study households and individuals consumption patterns; in 1970, a mathematical formula called the I PAT was developed to explain human consumption. The equation is expressed: I = P x A x T (I = Environmental impact, P = Population, A = Affluence, T = Technology) This paper is a written mathematical explanation that will explore the environmental sustainability principles of glacial melting in Alaska, global warming, and Arctic range. The concepts of how these environmental changes effect the human ability to enhance ecosystem services will be explored. The normal increase in temperature is only one degree throughout the world within the past 30 years, but is sufficient to start the melting of polar caps in the Arctic and raise the sea level. The melted white ice tends to reflect sunlight and turns into dark water-meaning it will absorb the sunshine. The warmer water continues to melt the ice at a faster pace. Predictions of Antarctic totally melting would displace many from their coastal homes, not to mention record breaking droughts, floods, heat waves and extreme weather from the past several years. Global Warming
Global warming affects every area of the ecosystem today. Global warming is defined as an increase in the average temperature of the earth atmosphere, during sustained increases that contribute to the climatic changes. Global warming is mainly the result of burning fossil fuels that emit pollution and manmade greenhouse gas. This leads to a higher level of atmospheric concentration of gases like carbon dioxide. The chain reaction of increased carbon dioxide in the atmosphere along with methane gases forms a layer in the upper level of atmosphere that lets heat and light in. The heat and light energy absorbs into the surface of the earth and the remaining portion is reflected out to space. The majority of the sun’s heat and light energy is reflected from the earth, hits the ceiling of greenhouse gases and is reflected back to the earth’s surface again. This cycle is repeated and again with a net gain of heat. The normal increase in temperature is only one degree throughout the world within the past 30 years, but is sufficient to start the melting of polar caps in the Arctic and raise the sea level. The melted white ice tends to reflect sunlight and turns into dark water-meaning it will absorb the sunshine. As of the present time the warmer water continues to melt the ice at an even faster pace. Predictions of Antarctica totally melting would displace many from their coastal homes, not to mention record breaking drought, floods, heat waves and extreme weather from the past several years. The approximate rise in sea level resulting from the melting Antarctica ice cap will be displayed and solved by problem 6a in Chapter 2 Extended and Discovery Exercises 6a. The surface area of the earth, a sphere is given by the formula 4π r², where “r” equals radius. The average radius is 3960 miles. Estimate the surface area of the earth.
A= 4 π r² radius (r) = 3960 Area equals 4 times, pi times the radius squared. A=4 (3.14) = 12.56 Pi π =equals 3.14. Multiply 4 times 3.14.
A=12.56 *(3960)² Work inside parentheses and multiply 3960x 3960 = 15681600
A= 12.56* 15681600 Multiply 12.56 by 15681600. The surface area of earth is, A = 1.9696089. Glacial Melting In Alaska
When estimating glacial melting there is a specific formula that must be used to calculate the...