The exponential function f(x)=ex and logarithmic function f(x)=ln(x) or f(x)=loge(x) are inverses of each other.   1) What is the graphical symmetry of the exponential function ex and its inverse ln(x)? Hint: they are symmetrical about what line (shown in the graph)? 2) What is the y-intercept of the exponential function ex and the x-intercept of the logarithmic

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Use log21=0,log22=1, and log24=2 to estimate log23.

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?