2. The position of particle x (in meters) is a function of time t (in seconds) given by the formula x = 30 log10 x (a) Calculate the average velocity (average rate of change in the values of the position function r(t)) on each of the following time intervals: (round your answers to the nearest hundredth-thousandth meter/second: five decimal places to the right of the decimal point) t-interval average velocity [10, 10.001] [10, 10.00001 [9.99999, 10] [9.999, 10] (b) Use your average velocities to estimate the value of the instantaneous velocity of the particle at time t = 10 seconds. (round your answers to the nearest hundredth-thousandth meter/second: five decimal places to the right of the decimal point)

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. The position of particle x (in meters) is a function of time t (in seconds) given by the formula
30 log10 x
(a) Calculate the average velocity (average rate of change in the values of the position
function x(t)) on each of the following time intervals:
(round your answers to the nearest hundredth-thousandth meter/second: five decimal places to the right of
the decimal point)
t-interval
average velocity
[10, 10.001]
[10, 10.00001
[9.99999, 10]
[9.999, 10]
(b) Use your average velocities to estimate the value of the instantaneous velocity of the
particle at time t = 10 seconds.
(round your answers to the nearest hundredth-thousandth meter/second: five decimal places to the right of
the decimal point)
Transcribed Image Text:2. The position of particle x (in meters) is a function of time t (in seconds) given by the formula 30 log10 x (a) Calculate the average velocity (average rate of change in the values of the position function x(t)) on each of the following time intervals: (round your answers to the nearest hundredth-thousandth meter/second: five decimal places to the right of the decimal point) t-interval average velocity [10, 10.001] [10, 10.00001 [9.99999, 10] [9.999, 10] (b) Use your average velocities to estimate the value of the instantaneous velocity of the particle at time t = 10 seconds. (round your answers to the nearest hundredth-thousandth meter/second: five decimal places to the right of the decimal point)
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