hw11-11-A - Math 170-007 Homework 11/11(A Fall 2010 Given...

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Math 170-007 Homework 11/11 (A) Fall 2010 “Given one value and rate of change information, predict a later value”. 1. An object moves along the y -axis. Its position at time t = 3 seconds is y = 12 m and its velocity at time t = 3 is 16 m/s. (a) Estimate its position at time t = 3 . 5 seconds. (b) Suppose that you also know its velocity at time t = 3 . 5 seconds is 17 m/s. Use this and your answer from part (a) to give a better estimate for position at time t = 4. (c) Continue this process to estimate the position at time t = 7 seconds. Use the velocity data in the table below. t (s) 4 4.5 5 5.5 6 6.5 y (m/s) 18 19 20 21 22 23 2. The temperature of a cooling object is T = 20 C at time x = 0. Use the rate of change data in the table below to estimate the temperature of the object at times x = 5, 10, 15, 20, 25 and 30 seconds. Once you are done, graph T as a function of time. x (s) 0 5 10 15 20 25 T ( C/s) - 1 . 0 - 0 . 60 - 0 . 30 - 0 . 15 - 0 . 05 0 3. The volume of water in a tank is is func- tion of time, V ( t
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hw11-11-A - Math 170-007 Homework 11/11(A Fall 2010 Given...

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