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MATH 1020 Calculus Concepts 2.4 Learning Activity 2.4 DMS 2. The population of Cityville between 1990 and 2002 is modeled by P(t) = v4/ +1

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MATH 1020 Calculus Concepts 2.4 Learning Activity 2.4 DMS 2. The population of Cityville between 1990 and 2002 is modeled by P(t) = v4/ +1 +35 thousand people where t is the number of years since 1990. a. Use the numerical method to estimate '(2) correct to 3 decimal places. Complete the chart below. State the equation you have in Y1. State the equation you have in Y2. Close points from Slope of the secant drawn Close points from Slope of the secant drawn the left between t = 2 and the close the right between t = 2 and the close point point 1.9 2.1 1.99 2.01 1.999 2.001 Trend of the slopes from the left: Trend of the slopes from the right: P' (2) = (with units) b. Write a limit for what you calculated and found in part a. c. Find the percentage rate of change of P(D) at / = 2

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