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- Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.sketch thr graph of y=4*x3 on a log-log plot. Label two pointsHow does a continuous exponential graph differ from a discontinuous exponential graph?
- sketch the graph of f(x) =1 log2 (x+3) state vertical shift, horizontal shift, ordered pair where (1,0) transforms to, equation of asmypotote.Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2400 bacteria selected from this population reached the size of 3058 bacteria in six hours. Find the hourly growth rate parameter.Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2100 bacteria selected from thispopulation reached the size of 2317 bacteria on two and a half hours. Find the hourly growth rate parameter.
- Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2500 bacteria selected from this population reached the size of 2947 bacteria in six hours. Find the hourly growth rate parameter. This is a continuous exponential growth model.3. Find the function whose tangent has slope xln√x for each value of x>0 and whose graph passes through the point(2,−3).Suppose that $9400 is invested in an account with an APR of 4.7% compounded continuously. Write a function A that determines the value of the investment (in dollars) in terms of the number of years t since the investment was made. Be sure to use proper function notation. What is the annual growth factor for the account?
- When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected to grow rapidly at first but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth, and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function below. (Round your answers down to the nearest whole number.) N = 12.35 0.01 + 0.54t (a) How many deer were initially on the reserve? deer(b) Calculate N(12).N(12) = deer (c) Express the number of deer present after 17 years using functional notation. N Calculate the number of deer present after 17 years. deer(d) How much increase in the deer population do you expect from the 12th to the 17th year? deerWhen a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected to grow rapidly at first but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth, and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function below. (Round your answers down to the nearest whole number.) N = 12.33 0.01 + 0.54t (a) How many deer were initially on the reserve? deer(b) Calculate N(12).N(12) = deer(c) Express the number of deer present after 17 years using functional notation. N Calculate the number of deer present after 17 years. deer(d) How much increase in the deer population do you expect from the 12th to the 17th year? deerSuppose an initial population of 33 million people increases at a continuous percent rate of 1.6% per year since the year 2000. Determine the function f that give the population (in millions) in terms of the number of years t since 2000. Determine the population in the year 2019. What is the annual growth factor for this context?
