1. For the given position function below, make a table of average velocities and make a conjecture about the instantaneous velocity at the indicated time. (Be sure to only round at the end for your final answer. Round to 3 decimal places.) s(t) = -4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] [3,3.001] -2.3 0.211 2.6 [3,3.0001] 72.903-72.9 3.001-3 13 4.9(3)² + 32(3) +21=72.9 -4.9(4) + 32(4)+21=70.6 70.6-72.9 9-3 72.926-72.9 301-3 73.111-72.9 2.6 0.211 3.1-3 = -2.3 72.9-72.9 3.0001-3 -10 The accurate conjecture for instantaneous velocity at t = 3 is (Round to 1 decimal place.) 2. Use the graph of g below to evaluate the following. limg(x)= 2 x-5 limg(x)= 4 limg(x)=4 x-2 9(1)= 4 3- Ay 0+ 0 1 2 3 = g(x) S 6 0. X
1. For the given position function below, make a table of average velocities and make a conjecture about the instantaneous velocity at the indicated time. (Be sure to only round at the end for your final answer. Round to 3 decimal places.) s(t) = -4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] [3,3.001] -2.3 0.211 2.6 [3,3.0001] 72.903-72.9 3.001-3 13 4.9(3)² + 32(3) +21=72.9 -4.9(4) + 32(4)+21=70.6 70.6-72.9 9-3 72.926-72.9 301-3 73.111-72.9 2.6 0.211 3.1-3 = -2.3 72.9-72.9 3.0001-3 -10 The accurate conjecture for instantaneous velocity at t = 3 is (Round to 1 decimal place.) 2. Use the graph of g below to evaluate the following. limg(x)= 2 x-5 limg(x)= 4 limg(x)=4 x-2 9(1)= 4 3- Ay 0+ 0 1 2 3 = g(x) S 6 0. X
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
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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