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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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.