Chapter 4.4, Problem 17E

The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?

The number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour there are 100 bacteria, and after 2 hours there are 200 bacteria. How many bacteria will there be after 3 hours?

Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.

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?

The equation of the exponential function that models a data set is y = 6.8(1.03)* Determine the range of this function. Select one: O a. yly> 1.03, y e R} O b. (ylye R} Oc. yly> 6.8, y e R) Oc. O d. yly> 0, y e R)

Part III. Find the 53rd derivative of sin x. Show your solution. I

Discrete math; Kindly correctly and must include a diagram

An exponential model y = a · bº passes through the points (0, 3) and (3, 81). What are the values of a and b? a = and b =

Solve using logarithmic differentiation. Thanks