Chapter 9.3, Problem 30E

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?

In Exercises 22–27, find a formula for the derivative of the function using the difference quotient. 22. g(x)= 2x² – 3 23. m(x) = 1/(x + 1)

If sales N(x) are expressed as a function of the amount a spent on advertising, then the dollar amount at which N' (x), the rate of change of sales, goes from increasing to decreasing is call the [Select] If d is that dollar amount, then (d, N(d)) is [Select] ✓ of N(x).

Differentiate and simplify

Differentiate the function. g(x) = coth-1 (2x + 1) Give your answer in exact form. g'(x) =

* 00 IN T VI 8. SI 7. Analyzing First Derivative Algebraically Oct 24, 10:53:48 PM Watch help video Find all intervals on which f(x) is decreasing. 8. 3. 8乙+0-6I + = (x)f 3. Submit Answer (') [) (1 Answer: [1 All Real Numbers MacBook Pro Search or type URL & # 4. 2 3. G A. B. C

The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). y 15 10 5 -2 4 6. 10 (a) Write an equation for h'(x) in terms of f(x), g(x), f'(x), and g'(x). O h'(x) = g'(f'(x))f'(x) O h'(x) = g'(f(x))f'(x) h'(x) = f'(g'(x))g'(x) h'(x) = f'(g(x))gʻ(x) O h'(x) = f'(g'(x))g(x) O h'(x) = g'(f'(x))f(x) Find h'(3). (If an answer does not exist, enter DNE.) (b) Write an equation for s'(x) in terms of f(x), g(x), f'(x), and g'(x). O s'(x) = f'(g(x))g'(x) O s'(x) = g'(f'(x))F'(x) O s'(x) = f'(g'(x))g'(x) s'(x) = g'(f(x))f'(x) s'(x) = f'(g'(x))g(x) s'(x) = g'(f'(x)){x) Find s'(7). (If an answer does not exist, enter DNE.)

_1 Which of the following is an exponential function? а) у - х b) f(x) = x² c) y = 22 d) f(x) = 2* _2 What does it imply when the graph of f(x) = a* is asymptotic to x axis? a) The graph's trend increases to the left of the y – axis. b) The graph's trend decreases to the left of the y – axis. c) The graph's trend decreases to the right of the y – axis. d) The graph's trend can either be that of a growth or decay function. _3 What will be the behavior of the graph of an exponential function if the y intercept is at (0, 2)? a) The graph follows an exponential growth. b) The graph follows an exponential decay. 4 The formula for the Richter rating of a quake is given by R - logQ. You have a seismograph set up at home and see that there was an event while you were out that had an intensity of Q = 989. A Richter rating of 4 or more means a moderate quake occurred. Which of the following is TRUĚ given the situation? a) The intensity of 989 is the result of a strong quake. b) The intensity of…