Task 2. In a cutting-edge greenhouse, an advanced climate digital control system is installed based on a DC inverter that maintains the desired temperature in the green house. The system's temperature control function is described by where T represents the temperature inside the greenhouse in degrees Celsius, and C represents the desired control setting on the climate control system of DC inverter. Based on that information, please provide answers to the following questions: (i) Using the concept of the inverse function, determine the control setting (C) as a function of greenhouse temperature (T). Please outline all the steps clearly. (ii)Discuss any practical limitations or considerations that may impact the functionality of the inverse function within the context of the greenhouse climate control system.

Task 2. In a cutting-edge greenhouse, an advanced climate digital control system is installed based on a DC inverter that maintains the desired temperature in the green house. The system's temperature control function is described by where T represents the temperature inside the greenhouse in degrees Celsius, and C represents the desired control setting on the climate control system of DC inverter. Based on that information, please provide answers to the following questions: (i) Using the concept of the inverse function, determine the control setting (C) as a function of greenhouse temperature (T). Please outline all the steps clearly. (ii)Discuss any practical limitations or considerations that may impact the functionality of the inverse function within the context of the greenhouse climate control system.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 15EQ

See similar textbooks

Similar questions

The amount of carbon dioxide in the atmosphere, measured in parts per million, has been increasing as a result of the burning of oil and coal. The buildup of gases and particles traps heat and raises the planet’s temperature. The bar graph in Figure (a) gives the average atmospheric concentration of carbon dioxide and the average global temperature for six selected years. The data are displayed as a set of six points in a rectangular coordinate system in Figure (b) [see attached]. Solve, Use the data points (317, 57.04) and (354, 57.64), shown, but not labeled, in Figure (b) [see attached herewith] to obtain a linear function that models average global temperature, f(x), for an atmospheric carbon dioxide concentration of x parts per million. Round m to three decimal places and b to one decimal place. Then use the function to project average global temperature at a concentration of 600 parts per million.
Only b.ii, iii and iv please. The output of a solar panel (photovoltaic) system depends on its size. A manufacturer states that the average daily production of its 1.5 kW system is 6.6 kilowatt hours (kWh) for Perth conditions. A consumer group monitored this 1.5 kW system in 20 different Perth homes and measured the average daily production by the systems in these homes over a one month period during October. The data is provided here. (a) Analyse the consumer group’s data to test if the manufacturer’s claim of an average of 6.6 kWh per day is reasonable. State appropriate hypotheses, assumptions and decision rule at α = 0.10. What conclusions would you report to the consumer group? Hint: You will need to find Descriptive Statistics first.) (b) If 48 homes in the central Australian city of Alice Springs had this system installed and similar data wascollected, in order to assess whether average daily production in Alice Springs exceeded 6.6 kWh, (i) what would the alternate hypothesis…
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.6 6.3 4.6…
Suppose you are interested in explaining maximum July temperatures in degrees Fahrenheit and latitude in degrees north of the equator. You check weather data and observe the following data for Edmonton, Calgary, Denver, and El Paso respectively; Latitude (X) = [51, 53, 39, 31] and Temperature (Y) = [89, 91, 90, 109]. Which city is the closest to its predicted value? Edmonton Calgary Two cities are equally close to their predicted values
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 1%level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.6 6.7 4.8 4.9…
The human nervous system is extremely sensitive to changes in the environment. Stimuli that remain the same do not demand the same amount of attention as those that are new. You are a human factors psychologist working for a large automobile manufacturer. You have been assigned the task of determining what type of hot-engine warning system will be used on the next generation of small pickup trucks. The designers have given you three alternative systems: (a) a traditional temperature gauge that reads cold to the left, normal in the middle, and hot to the right; (b) a hot- engine warning light that flashes when the engine is about to overheat; and (c) a temperature gauge similar to (a), except that the entire gauge flashes on and off when the engine is about to overheat. You decide to test these three designs by having three separate groups of participants use the various warning systems in a driving simulator. The independent variable in this experiment is the type of warning system,…
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.1 6.6 4.6…
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 10% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.1 6.6 4.3 4.7 6.7…
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in a river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water discharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream from the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology students collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.4 6.3 4.5…
A student arrive in a photocopy service. There is only one photocopy operator, and the time required for inquiry varies from student to student. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the average service time for this problem?
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x₁), the number of days in the month (x₂), the average product purity (x3), and the tons of product produced (x4). The past year's historical data are available and are presented in the following table: Y 240 236 270 274 301 316 270 296 267 276 288 261 25 31 45 60 65 72 80 84 75 60 50 38 X2 24 21 24 25 25 26 25 25 24 25 25 23 Fit a multiple linear regression to predict power (y) using x1, X2 X3, and X4. Calculate R2 for this model. Round your answer to 3 decimal places. 91 90 88 87 91 94 87 86 88 91 90 89 X4 100 95 110 88 94 99 97 96 110 105 100 98
Paolo studies bees and honey production. He gathers data on the bee population of a honeycomb and theamount of honey produced for both wild bees and farm bees. Identify the type of study and what relationship is beingexamined.