w=a1a2+b1b2Īnglebetween2Vectors cos = t∙vwtwwvw DecomposeaVectorintoOrthogonalVectors Vectorprojectionofonto vx = t∙ywywz y Draw&withsameinitialpt vz = v − vx Fromterminalptofdrop┴to Thiscreatesrttrianglewithashypotenuse.§10.1PolarCoordinates ConvertPolartoRectangularCoordinates
|A|1stretchA1shrinkω sin Heron’sFormula A = # '> + + +'A − +'A − F−' E+ '2G+⁄ cos I5J − 3 K元 EM Graphingy=Asin(ωx)&y=Acos(ωx) |A|=amplitude(stretch/shrinkvertically) yintercepts: f(0)įindingHorizontal/ObliqueAsymptotesofR wheredegreeofnumer.=nanddegreeofdenom.=m SPSU Math 1113: Precalculus Cheat Sheet §5.1PolynomialFunctionsandModels(review) StepstoAnalyzeGraphofPolynomial 1. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format,
Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the In this chapter, we will explore these kinds of relationships and their properties. For any year we choose, we can determine the corresponding value of the stock market average. Notice, as we consider this example, that there is a definite relationship between the year and stock market average. The result caused the sharp decline represented on the graph beginning at the end of 2000. Many companies grew too fast and then suddenly went out of business. As bubbles tend to do, though, the dot-com bubble eventually burst. That five-year period became known as the “dot-com bubble” because so many internet startups were formed. It shows that an investment that was worth less than $500 until about 1995 skyrocketed up to about $1,100 by the beginning of 2000. The graph above tracks the value of that initial investment of just under $100 over the 40 years. As a result, the Standard and Poor’s stock market average rose as well. Toward the end of the twentieth century, the values of stocks of internet and technology companies rose dramatically.
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