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A scientist has modeled the change in volume of an oil spill using the following...
3. (25 pts) A tank with 60 gallons of wine contains 11% alcohol by volume. Wine...
3. (25 pts) A tank with 60 gallons of wine contains 11% alcohol by volume. Wine with 7% alcohol is pumped into the tank at a rate of 2 gal/min and the mixture is pumped out at the same rate. a. Show that the rate of change of alcohol in the tank can be modeled by the differential dy 21-5y equation where y(t) is the amount of alcohol in gallons at time t in the tank. dt 150 b. What...
Complete the following sections. Data should be plotted in Matlab or Excel as described below. Be...
Complete the following sections. Data should be plotted in Matlab or Excel as described below. Be sure the plots are clear and appropriately labeled. Models and Graphs can be uploaded to the Canvas site. This assignment can be completed in groups of two. Be sure to clearly indicate who is in the group. Question 1. The glycolytic pathway is used for the degradation of glucose to pyruvate and is employed by all major groups of microorganisms. This pathway also produces...
Problem #4. The convective heat transfer problem of cold oil flowing over a hot surface can...
Problem #4. The convective heat transfer problem of cold oil flowing over a hot surface can be described by the following second-order ordinary differential equations. d'T dT +0.83x = 0 dx? dx T(0)=0 (1) T(5)=1 where T is the dimensionless temperature and x is the dimensionless similarity variable. This is a boundary-value problem with the two conditions given on the wall (x=0, T(O) = 0) and in the fluid far away from the wall (x = 5, T(5) = 1)....
Consider the differential equation dy -0.5y (y – 4) dt Question 1 Why is the given...
Consider the differential equation dy -0.5y (y – 4) dt Question 1 Why is the given differential equation considered autonomous?" The derivative of the unknown function(y) is described only in terms of y, not t. The derivative of the unknown function (y) is a first derivative, not a second derivative. The derivative of the unknown function(y) is described only with linear factors such as -0.5y and (y-4), not curves such as sin(y) or 1/y. Question 2 As a step toward...
Problem #4. The convective heat transfer problem of cold oil flowing over a hot surface can...
Problem #4. The convective heat transfer problem of cold oil flowing over a hot surface can be described by the following second-order ordinary differential equations. der 0 dx T(0)=0 (1) T(5)=1 where T is the dimensionless temperature and x is the dimensionless similarity variable. dr? +0.83, dT This is a boundary-value problem with the two conditions given on the wall (x=0, T(O) = 0) and in the fluid far away from the wall (x = 5,7/5) = 1). You are...
Question 2: Quick Change is a car-care centre specializing in ten-minute oil changes. Quick Change has...
Question 2: Quick Change is a car-care centre specializing in ten-minute oil changes. Quick Change has two service bays, which limits its capacity to 3,800 oil changes per month. The following information was collected over the past 6 months Month January.... February.... Number of Oil Operating Changes Expenses 3,600 $39,000 2.900 $34.300 3,200 $35,500 3,100 $35.100 3,700 $39,900 3,500 $34,600 March... April.... May....... June...... A. Prepare a scatterplot graphing volume of oil changes (x-axis) against the company's monthly operating expenses...
the first question is done I need the others Consider a closed system that cannot do pressure volume work, but rathe...
the first question is done I need the others
Consider a closed system that cannot do pressure volume work, but rather does work of the form w = (xar The state variables for this system are n, T, X, and Y, and where X > 0. For this system dU = TAS + XDY la (7 pts) Using the definition of A derive an expression for dA for this system and derive th corresponding Maxwell relation. an (4 pts) Derive...
Question 5 Question text You observe an oil spill in the Gulf of Mexico (GOM) and...
Question 5 Question text You observe an oil spill in the Gulf of Mexico (GOM) and hypothesis that the indigenous microbial community in the soil will be able to degrade the alkane portion of the spill under sulfate reducing conditions. You set up multiple incubations under the following conditions and monitor the disappearance of sulfate over time. After 100 days of incubation the results are as follows: 1) The enrichment containing GOM sediment + oil + medium showed 99% depletion...
A car rental agency is considering a modification in its oil change procedure. Currently, it uses...
A car rental agency is considering a modification in its oil change procedure. Currently, it uses a Type X filter, which costs $5 and must be changed every 7,000 miles along with the oil (6 quarts). Between each oil change, one quart of oil must be added after each 500 miles. The proposed filter (Type Y) has to be replaced every 4,000 miles (along with 6 quarts of oil) but does not require any additional oil between filter changes. If...
Problem 1. (25 points) Consider the following differential equation. 36 (a) Using the change of variable, 2 VT, write the differential equation in the form of Bessel's equation, 22y" zy(22- v...
Problem 1. (25 points) Consider the following differential equation. 36 (a) Using the change of variable, 2 VT, write the differential equation in the form of Bessel's equation, 22y" zy(22- v2)y 0. (b) Find the general solution of the differential equation (y(). (You do not need to find the value:s of Gamma functions.) (c) Find the term multiplying ? in the solution. (You do not need to find the values of Gamma functions.)
Problem 1. (25 points) Consider the following...
3. (25 pts) A tank with 60 gallons of wine contains 11% alcohol by volume. Wine with 7% alcohol is pumped into the tank at a rate of 2 gal/min and the mixture is pumped out at the same rate. a. Show that the rate of change of alcohol in the tank can be modeled by the differential dy 21-5y equation where y(t) is the amount of alcohol in gallons at time t in the tank. dt 150 b. What...
Complete the following sections. Data should be plotted in Matlab or Excel as described below. Be sure the plots are clear and appropriately labeled. Models and Graphs can be uploaded to the Canvas site. This assignment can be completed in groups of two. Be sure to clearly indicate who is in the group. Question 1. The glycolytic pathway is used for the degradation of glucose to pyruvate and is employed by all major groups of microorganisms. This pathway also produces...
Problem #4. The convective heat transfer problem of cold oil flowing over a hot surface can be described by the following second-order ordinary differential equations. d'T dT +0.83x = 0 dx? dx T(0)=0 (1) T(5)=1 where T is the dimensionless temperature and x is the dimensionless similarity variable. This is a boundary-value problem with the two conditions given on the wall (x=0, T(O) = 0) and in the fluid far away from the wall (x = 5, T(5) = 1)....
Consider the differential equation dy -0.5y (y – 4) dt Question 1 Why is the given differential equation considered autonomous?" The derivative of the unknown function(y) is described only in terms of y, not t. The derivative of the unknown function (y) is a first derivative, not a second derivative. The derivative of the unknown function(y) is described only with linear factors such as -0.5y and (y-4), not curves such as sin(y) or 1/y. Question 2 As a step toward...
Problem #4. The convective heat transfer problem of cold oil flowing over a hot surface can be described by the following second-order ordinary differential equations. der 0 dx T(0)=0 (1) T(5)=1 where T is the dimensionless temperature and x is the dimensionless similarity variable. dr? +0.83, dT This is a boundary-value problem with the two conditions given on the wall (x=0, T(O) = 0) and in the fluid far away from the wall (x = 5,7/5) = 1). You are...
Question 2: Quick Change is a car-care centre specializing in ten-minute oil changes. Quick Change has two service bays, which limits its capacity to 3,800 oil changes per month. The following information was collected over the past 6 months Month January.... February.... Number of Oil Operating Changes Expenses 3,600 $39,000 2.900 $34.300 3,200 $35,500 3,100 $35.100 3,700 $39,900 3,500 $34,600 March... April.... May....... June...... A. Prepare a scatterplot graphing volume of oil changes (x-axis) against the company's monthly operating expenses...
the first question is done I need the others
Consider a closed system that cannot do pressure volume work, but rather does work of the form w = (xar The state variables for this system are n, T, X, and Y, and where X > 0. For this system dU = TAS + XDY la (7 pts) Using the definition of A derive an expression for dA for this system and derive th corresponding Maxwell relation. an (4 pts) Derive...
A car rental agency is considering a modification in its oil change procedure. Currently, it uses a Type X filter, which costs $5 and must be changed every 7,000 miles along with the oil (6 quarts). Between each oil change, one quart of oil must be added after each 500 miles. The proposed filter (Type Y) has to be replaced every 4,000 miles (along with 6 quarts of oil) but does not require any additional oil between filter changes. If...
Problem 1. (25 points) Consider the following differential equation. 36 (a) Using the change of variable, 2 VT, write the differential equation in the form of Bessel's equation, 22y" zy(22- v2)y 0. (b) Find the general solution of the differential equation (y(). (You do not need to find the value:s of Gamma functions.) (c) Find the term multiplying ? in the solution. (You do not need to find the values of Gamma functions.)
Problem 1. (25 points) Consider the following...
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