Explain the main components of the LCOE formula and the benefits of this approach compared to other financial metrics such as NPV, IRR, and BCR.
Use the calculator to calculate the LCOE of each of the following technologies for a utility-scale power plant in California.
Natural Gas Combined Cycle
Pulverized Coal
Solar
Wind
Note: Instructor can change the state and technology or assign different states and technologies to students.
Explain how each of the factors below impact the LCOE. How does a 10% increase and 10% reduction for each of these variables impact LCOE of solar, wind, NGCC, and coal
Capacity factor
Fuel cost
System price
Carbon emissions cost
Provide an example of a policy in your province that would improve the LCOE of clean energy technologies
Explain the main components of the LCOE formula and the benefits of this approach compared to other financial metrics such as NPV, IRR, and BCR.
Use the calculator to calculate the LCOE of each of the following technologies for a utility-scale power plant in California.
Natural Gas Combined Cycle
Pulverized Coal
Solar
Wind
Note: Instructor can change the state and technology or assign different states and technologies to students.
Explain how each of the factors below impact the LCOE. How does a 10% increase and 10% reduction for each of these variables impact LCOE of solar, wind, NGCC, and coal
Capacity factor
Fuel cost
System price
Carbon emissions cost
Provide an example of a policy in your province that would improve the LCOE of clean energy technologies
Question 1. (a) Using the formula Tn(x) = cos(n cos−1 x), n ≥ 0, find the Chebyshev polynomials T0(x), T1(x), T2(x), T3(x), and T4(x). [8]
(b) Find the Chebyshev interpolating polynomial that attains the values 6, 1, 3, and 66 at the points −1, 0, 2 and 6. Reduce the polynomial to its natural form. [12]
Question 2. (a) Find the Hermite interpolating polynomial for the function f(x) = √ x satisfying the conditions H5(xi) = √ xi , i = 0, 1, 2 and H 0 5 (xi) = 1/ 2 √ xi , i = 0, 1, 2 for the points x0 = 1, x1 = 4 and x2 = 9. Reduce the polynomial to its natural form. [15]
(b) Find the error bound of the interpolating polynomial. [10]
Question 3. The population of Botswana (in millions) for the years 1970 to 2020 is given in the table.
Year 1970 1980 1990 2000 2010 2020
Population, P 0.628 0.898 1.287 1.643 1.987 2.254
(a) Make a scatter plot (population versus years) for the data. [3]
(b) Using the scatter plot determine the data trend and law of the curve of best fit for the data. [3]
(c) Use the least squares method find the curve of best fit for the data. [11]
(d) Hence estimate the population of Botswana in the year 2036. [3]
Question 4. Fit the curve y = a (1 − bx) 2 to the data x 4 6 8 10 11 12 y 4.89 5.49 6.62 9 11.4 16.1 [11]
Question 5. (a) Evaluate the integral I = Z 3 1 1 x d x using the trapezoidal rule method with accuracy ε
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Case Study 1 Calculations: Calculate the client’s target heart rate using the Karvonen formula. Training Program: Design full a 12-week periodized training program for the client described in the Clie
Case Study 1
Calculations: Calculate the client’s target heart rate using the Karvonen formula.
Training Program: Design full a 12-week periodized training program for the client described in the Client Profile. Be very specific as you design the training program. This is an opportunity for you to demonstrate your full comprehension of the information and concepts discussed throughout the course. List the types of exercise, duration, sets, reps, rest intervals, and so on.
Include the following in your case study submission:
A description of your professional responsibilities as discussed in the stages of the drawing-in process (Unit 12)
Discussion of any fitness tests, methods of evaluation, and data collection used to assess and evaluate the client’s needs
Specific conditions that you have identified in the client profile
A fully detailed 12-week comprehensive and periodized training program including specific exercises, sets, repetitions, suggested rest times, etc. Use an integrated approach in your program recommendations.
Specific and detailed nutritional strategies and an explanation as to how the strategies will assist the client in meeting energy needs
Explanation for your chosen assessment, programming, and nutritional recommendations. (Be sure to reference course concepts when discussing rationale for your recommendations.
Keep in mind that a client should be able to take your program and put it into practice without having to contact you to clarify what you intended by your recommendations or to explain parts of your program.
Don’t forget your explanation for WHY you listed and recommended what you did. Reference the concepts and theories covered in the course. Be sure to address why the program and exercises recommended are appropriate for the specific client given the clientÕs history, current abilities, and intended goal(s). For example: if you are developing a program for a beginner client without any resistance training experience, explain how your program addresses the lack of experience, initial need for foundational development, process by which you would safely progress the client, etc. Tying your program to course concepts is a critical component of your case study.
Review the Client Profile below.
Client Profile: Steve Rogers
Age: 27
Gender: Male
Resting Heart Rate: 60 bpm
Height: 6’0″
Weight: 178 lb
Body Fat Percentage: 11%
Background and Goals: Steve is an avid runner and has been quite slim his whole life. He runs moderate- to long-distances three or four days per week. Running is his only physical activity. Steve has never been interested in resistance training because it is not his strong suit. Steve recently decided that he is tired of being skinny. He would like to put on some size and muscle before he travels back to his hometown for a good friend’s wedding in 12 weeks.
