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f(x)=log9(x^2+7x−8)
The asymptote(s) of the function is
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- 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? deerAn investment earns 5.1% yearly interest compounded continuously and is currently growing at the rate of $765 per year. What is the current value of the investment?
- The rate of a continuous money flow starts at $600 and increases exponentially at 4% per year for 15 years. Find the present value and final amount if interest earned is 8% compounded continuously.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.Create two exponential functions that have a horizontal asymptote at y=3 and go through the point (1,5). Please show all work.
- 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.Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please show complete solution.how long will it take an investment of $25,000 to grow to $35,000 ast an anual interest rate of 5% compounded continuously
