Intro to Mathematical Modeling
Intro to Mathematical Modeling MATH 1101
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This 2 page Class Notes was uploaded by Mrs. Kara Jacobs on Monday October 12, 2015. The Class Notes belongs to MATH 1101 at Georgia College & State University taught by Kenneth Flowers in Fall. Since its upload, it has received 11 views. For similar materials see /class/221927/math-1101-georgia-college-state-university in Mathematics (M) at Georgia College & State University.
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Date Created: 10/12/15
MATH 1101 Math Modeling Section 24 notes 24 Solving Nonlinear Eguations Solving equations for the input variable Example 1 Easy example If Qx 2x 1 nd the input if the output is 9 or in other words nd x if Qx 9 a By hand b Do on calculator by 1 Graph both sides of the equation 2 Find the intersection of the two graphs in an appropriate window 3 Select 2quotd trace and then intersection and follow directions on screen Example 2 If rx x2 3x 2 nd the input ifthe output is 6 a By hand b Do on calculator Example 3 px 3x2 25x300 x the number ofyears since 1999 px population in thousands in a certain city How many years since 1999 correct to 3 decimal places was the population exactly 340000 Need to solve Example 4 Solve 40080031C 1700 MATH 1101 Math Modeling Section 34 supplemental notes 34 Linear Regression Example 1 The following table shows the enrollment for a university in the southeast from 1965 through 1969 Students Year Students 9 of years Can we model the data above by a linear function Answer this question by two ways 1 Take a look at the scatter plot Does it look like a line would t the data points well77 2 Is there a constant rate of change from year to year Change m From 5 to 6 6 t0 7 x Change in 55405024 Ex 516 Can we model the data above by a linear function 7 7 i What do we use as the slopei What is the best t line through the data How to Find the best t line through the data Enter the data into L1 and L2 Go to STAT a CALC Go down to or hit 4 and enter You will bet the slope and yintercept ON CACLU39LATOR yaxb same as ymxb Enter this equation in the Y and view how well it fits the data V eP Nf Actual Model ye ars x number after Students of years Students after 1960 E x 5 6 7 8 9