Using Cramer’s Rule In Exercises
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Elementary Linear Algebra (MindTap Course List)
- Software Publishing The table shows the estimate revenues in billions of dollars of software publishers in the United States from 2011 through 2013.Source: U.S. Census Bureau Year Revenues, y 2011 156.8 2012 161.7 2013 177.2 a Create a system of linear equations for the data to fit the curve y=at2+bt+c Where t = 1 corresponds to 2011, and y is the revenue. b Use Cramers Rule to solve the system. c Use a graphing utility to plot the data and graph the polynomial function in the same viewing window. d Briefly describe how well the polynomial function fits the data.arrow_forwardHealth Care Expenditures The table shows annual personal health care expenditure in billions of dollars in the united states from 2011 through 2013 Source Bureau of Economic Analysis. Year 2011 2012 2013 Amount y 1765 1855 1920 (a) Create a system of linear equations for the data to fit the curve y=at2+bt+c where t=1 corresponds to 2011, and y is the amount of the expenditure. (b) Use the Cramers Rule to solve the system. (c) Use a graphing utility to plot the data and graph the polynomial function in the same viewing window. (d) Briefly describe how well the polynomial function fits the data.arrow_forwardThe table shows the numbers of visitors y (in thousands) to one country from another country from 2012 through 2014. Visitors, y (in thousands) Year 2012 1476 2013 2014 1805 2186 (a) The data can be modeled by the quadratic function y = at? + bt + c. Write a system of linear equations for the data. Let t represent the year, with t= 12 corresponding to 2012. = 1476 = 1805 = 2186 (b) Use the matrix capabilities of a graphing utility to find the inverse of the coefficient matrix of the system from part (a). (c) Use the result of part (b) to solve the system and write the model y = at2 + bt = c. (d) Use the graphing utility to graph the model with the data.arrow_forward
- Using Cramer's Rule, determine D-3D₁+2D₂-D3 from the following system of equations: 395 - 1 2 1 482 X 1 2 3 4 5 7arrow_forwardLinear algebra : please justify your answer by showing all stepsarrow_forwardThe table shows the net profits (in millions of dollars) for Microsoft from 2007 through 2014. (Source: Microsoft Corp.)(a) Set up a system of equations to fit the data for the years 2007, 2008, 2009, and 2010 to a cubic model. (b) Solve the system. Does the solution produce a reasonable model for determining net profits after 2010? Explain.arrow_forward
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