A model for the basal metabolism rate, in kcal/h, of a young man is R(t) =...
1-
2-
3-
Tutorial Exercise Evaluate the indefinite integral. Vinter dx 1 + x18 Step 1 We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in x8 dx for which the derivative is also present, though perhaps missing a constant 1 + x18 factor. 17 Finding u in this integral is a little trickier than in some others. We see that 1...
Mathmatical modelling!
Q 4. (10 MARKS) Consider T(t), the number of travellers in an airport, where t denotes the time in hours after midnight. The rate that travellers arrive at the airport varies periodically and the rate that travellers depart from the airport is a constant 600 per hour, so we model T(t) by the differential equation 0, dr = a (2 +cos dt where a is a positive constant. At midnight each day there are 2000 travellers in the...
5-The following function models the rate at which the ozone level in a suburb of a city is changing (parts per million per hour, ppm/h) t hours after 7:00 A.M 0.24-0.3t R(t)- 36+16t -t2 Express the ozone level as a function of time if the ozone level is 4 ppm at 7:00 A.M
5-The following function models the rate at which the ozone level in a suburb of a city is changing (parts per million per hour, ppm/h) t hours...
During a thunderstorm, rain was falling at a rate of 2t R(t) = 14 + t2) inches per hour, where t is the number of hours since midnight when the storm began. The amount of rain that fell between midnight (t=0) and 2:00 am (t=2) was O 0.0345 in/hr B. 0.0113 in/hr 0 -0.0345 in/hr 0 -0.0113 in/hr En A dy 0.0234 in/hr
3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours and S(t) is the amou noon each day (time t = o is noon, t-1 is 1pm and so on). of starch produced t hours after a. Estimate the tot al change in S(t) between 1pm and 3pm using the right-hand...
Here's all the information I have
A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in...
(1 point) A shop is open 9 AM-7 PM. The function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, where t measures time in hours since 9 AM. Suppose that the salespeople can serve customers at a rate of 75 people per hour. Answer the following questions: A. At what time will people begin having to wait in line before getting served (because the volume of people arriving has become too great)? hours...
In a yearlong study of gas usage to heat a particular building, on 37 randomly selected days during the year, the average outside temperature was measured as well as the corresponding gas usage for a 24-hour period. The simple linear model E(y) = β0 + β1x, where x is the average outside temperature over a 24-hour period and y is the gas usage during that same time period, was fit to the data. The analysis is given below.Regression StatisticsMultiplier0.4804958R Square0.23087621Adj...
s method and h-0 5 TTOP Tor the value at t 2.0 obtained by Euler's method Report results to two decimal places 5. The population of a certain type of bacteria, kept in a Petri dish at a constant 25 C,changes according to the Limited Growth Model. An initial population of 10 million bacteria increases to 15 million carrying capacity, M, of this system is 40 million bacteria. (Recall: for this model the rate of population with respect to time,...
Designing a Drip Dispenser for a Hydrology ExperimentIn order to make laboratory measurements of water filtration and saturation rates in various types of soils under the condition of steady rainfall, a hydrologist wishes to design drip dispensing containers in such a way that the water drips out at a nearly constant rate. The containers are supported above glass cylinders that contain the soil samples (Figure 2.P.1). The hydrologist elects to use the following differential equation, based on Torricelli's principle to...