1. The annual change in the average steak unit selling price (per kg) in the United States for the years 1999 and 2006 is modeled using the function f(t)=-0.03911+ 0.6108. The modeldet variable represents the number of years after 1990, and the current average price in 2006 was $2.95/kg, as predicted by the model. Estimate in which year the unit selling price will exceed $3.25/kg, assuming that steak prices will continue to change in line with the model in subsequent periods.

2. It is known that the volume of air (V) present in the lungs within a 5-second respiratory cycle can be explained with the help of the model V(t)=0.17291 +0.11522t-0.0374t. The variable t in the model is the expression in seconds of the recorded time passed in the loop. a) Estimate the maximum amount of air that will be recorded during the 5 second breathing period. b) What will be the average volume value during a cycle?

3. The production director of Sodex Company, which specializes in the production and sale of solar panels, was able to explain the monthly rate of change in production quantity (in hundred units) for t months after the start of production with the help of the function. What would be the number of panels produced in the second week of the production process?

5. The current income distribution of an economist in a certain region and the current income distribution for 10 years produce the Lorenz functions below in order to explain the income distribution that will be assume: Current situation Situation after 10 years By calculating the Gini coefficient for both periods, in the context of equality in income distribution, the period make a comparison.

6. Change in daily oil production in Canada (in million barrels) It is known that it can be explained with the help of the function. The t variable included in the model, year 2005 It shows the number of years that have passed since then. Accordingly, for the entire planned activity period Estimate the total amount of oil production.

7. with the condition a < b; Represents the relative maximum point x = a for the display value of the function f(x). while x=b is the relative minimum point. In the light of this information; f(x)=x-2x + 2 function graph, x-axis Calculate the closed area bounded by the vertical lines vex-a and x-b using the integral.

8. Virtual Reality is a business that manufactures and sells video games. Aforementioned It is stated that the annual net income amount of the enterprise can be explained by the function R(t) = 20,000t. Assuming that the variable t represents the number of years from today, net annual income to another project that provides 10% annual return on a continuous accrual basis for 6 years. If transferred, calculate the total value that the investment in question will reach at the end of 6 years.