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Special functions

Human Population Outline

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Human population Out line .4.1 How population change over time A. B. C. D. II. Age structure A. B. C. D. E. F. G. H. I. J. K. 4.2 Kinds of population Growth III Exponential growth A B C IV A brief history of human population Growth 1. 2. 3. 4. 4.3 Present Human Population Rates of Growth A. B. C. D. E. F. 4.4 Project Future Population Growth A. V. Exponential Growth and daubing Time A. B. C. D. E. The logistic Growth Curve A. B C D E. F. G. VII. Forecasting Human Population Growth Using the logistic Curve A. B. C. D. E.

solving exponential equations

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to solve exponential equations without logarithms, you need to have equations with comparable exponential expressions on either side of the "equals" sign, so you can compare the powers and solve. In other words, you have to have "(some base) to (some power) equals (the same base) to (some other power)", where you set the two powers equal to each other, and solve the resulting equation. For example: Solve 5x = 53. Since the bases ("5" in each case) are the same, then the only way the two expressions could be equal is for the powers also to be the same. That is: x = 3

Inverse Hyperbolic Functions

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Since hyperbolic functions are defined in terms of exponential functions, it is expected that their inverses can be expressed in the inverse of their exponential functions: Inverse Hyperbolic Functions in terms of logarithms 

7inver1,7inver2,7inver3,7inver4,7inver5,7inver6,7inver7,7inver8,7inver9,7inver10,7inver11,7inver12



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