Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Check your answer graphically. (Enter your answer using interval notation. Round your answers to three decimal places.) cos(x) = 1 2 + (Jerror] <0.00005) 24 Match the differential equation with its direction field. y' = x(8 - y) / / / /// 157 10 /// 22 0.3 -0.2-0.1 - -0.1 - 0.2 0.3. 0.1 0.2 0.3- 0-2 -1 1 2 / / / 0.3 / / 1-Q.3 +021-10.1\ // / // ///// ///// \0.1 02/03/ Q.1 -- 103 x // //// O-2 y 15 10 /// + x -1 0 1 Give reasons for your answer. The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y 8, y' = 0. Oy' = x(8 - y) = 0 on the line y = -x+ and y' -1 on the line y = -x. π Oy' = x(8 - y) = 0 on the lines x = 0 and y = 0, and y' > 0 for 0 < x < . <<²,0

Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Check your answer graphically. (Enter your answer using interval notation. Round your answers to three decimal places.) cos(x) = 1 2 + (Jerror] <0.00005) 24 Match the differential equation with its direction field. y' = x(8 - y) / / / /// 157 10 /// 22 0.3 -0.2-0.1 - -0.1 - 0.2 0.3. 0.1 0.2 0.3- 0-2 -1 1 2 / / / 0.3 / / 1-Q.3 +021-10.1\ // / // ///// ///// \0.1 02/03/ Q.1 -- 103 x // //// O-2 y 15 10 /// + x -1 0 1 Give reasons for your answer. The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y 8, y' = 0. Oy' = x(8 - y) = 0 on the line y = -x+ and y' -1 on the line y = -x. π Oy' = x(8 - y) = 0 on the lines x = 0 and y = 0, and y' > 0 for 0 < x < . <<²,0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.3: Solving Linear Equations

Problem 2TU: If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second...

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