Elementary Functions And Applications

Cover Elementary Functions And Applications
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3 10 15. 2 27. 4 52 Saturn Uranus Neptune '' ' 95. 4 192 300 If {here is a planet ext^nal to Neptune, at what approximate distance may we expect it to be found?
EXPONENTIAL AND LOGARITHMIC FUNCTIONS 221 12. Show for the exponential function e* that the average rate of change Aiy /gAx— 1\ is -^ = e* I — T ]' Find the value of the second factor if Ax = 0. 1, 0. 01.
Ax \ Ax f Assuming that the limit of the second part is 1 as Ax approaches 0, find m for the exponential e* and determine tiie angle
...that the graph makes with the 2/-axis.
13. Plot the graph oi y = ke"^, first letting A; = 1 and choosing m suc- cessively equal to - 2, - 1, 0, + |, +1, +2, and then letting w = 1 and choosing k successively equal to - 1, -t- 5, + 2. How do changes in m and k affect the graph?
14. The pull, P, needed to check a weight, TF, being lowered by means of a rope wrapped around an iron drum, is given by the equation P = TFe~^, where the coefficient of friction is m = 0. 3, and 6, the angle of contact of the rope with the drum, is measured in radians.


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