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The rabbit population at the city park increases by 16% per year. If there are intially 119 rabbits in the city park. 1. Write a model for the population (y) in terms of years (t). y=  2. Find the rabbit population in 17 years. (Round to the nearest whole rabbit)=  3. [Estimate] When the rabbit population reaches 11033. It will happen between year and year

A concrete reservoir in the shape of a triangular prism is being filled with water at the constant rate of 2 cubic feet per minute. The reservoir is 4 feet deep, measures 6 feet across the top, and is 20 feet long (see figure). For any time t>=0, let H represent the depth of the water in the reservoir and let W represent the width of the rectangular region of water at the top. a. If the reservoir is initially empty, how long will it take to fill completely? b. How fast is the depth of the water in the reservoir changing when the reservoir is half-full? Remember to includes units. c. How fast is the rectangular area of the surface of the water changing when the reservoir is half full? Indicate units of measure.

In a study conducted at Dartmouth College, mice with a particular type of cancerous tumor were treated with a chemotherapy drug called Cisplatin. If the volume of one of these tumors at the time of treatment is Vo, then the volume of the tumor t days after treatment is modeled by the function V(t) = = Vo(0.99e- + 0.01e0.239t). -0.1216t 1. Set Vo = 3 and plot V(t) over the interval 0 ≤ t ≤ 16. Appropriately adjust the viewing window to see the behavior of V(t) and sketch the graph below. 2. From the graph, estimate the time at which the volume of the tumor decreased to half its original amount. There are two such times, record each to the nearest whole number. 3. With Vo = 3, write down the equation whose solution gives the time at which the tumor is half its original volume. (Re)write the equation with zero in the right-hand side. 4. Using one of your answers from 2. as to and your equation from 3., apply two steps of Newton's method to better approximate this time. (Round to 3 decimal…

In the manufacture of commercial wood products, it is important to estimate the relationship between the density of a wood product and its stiffness. between the density of a wood product and its stiffness. A relatively new type of chipboard is being considered chipboard that can be formed much more easily than the already accepted commercial product. It is It is necessary to know at what density its stiffness is comparable to that of the well known and documented commercial product. documented commercial product. Thirty particleboard boards were produced with densities ranging from approximately 8 to 26 pounds per cubic foot and their stiffness was measured in pounds per square inch. The following table the data obtained are presented. Calculate the following with a significance level of 95%.It is recommended in excel

. At wind speeds above 1000 cm/sec, significant sand–moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. 75 wind speed readings gave an average velocity of x =1045 cm/sec. Based on long–term experience,  can be assumed to be 240 cm/sec Find a 99% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number) (DO A MANUAL CALCULATION, SHOWING ALL WORK INCLUDING THE EQUATION USED AND THEN WITH ALL VALUES PLUGGED INTO THE EQUATION)(SHOW WORK ABOVE) [final answer] Margin of Error: E = (value with units)[final answer] Confidence Interval : _________________ < __________________ < __________________ (value with units) (correct symbol) (value with…