Use the Laplace transform to solve the initial value problem$$\style{font-size:18pt}{ y” + 9 y = 2\,\delta(t-4)}$$where $$\style{font-size:18pt}{ y(0)=0}$$ and $$\style{font-size:18pt}{ y'(0)=7.}$$

Calculate the Laplace Transform of the following functions, and in each case state the s-values for which the transform exists. (a) $$\style{font-size:18pt}{ g(t)= 3t^5 – 6\cos(4t) + 8e^{3t}}$$(b) $$\style{font-size:18pt}{ g(t)= 4 e^{-2t} \cos(3t) – 3 e^{7t} \sin(2t)}$$Do not use the definition of the Laplace transform on this question!

Which of the following is NOT an example of social, economic, and cultural rights?

What was your favorite topic in this course? 

The main problem with humanitarian intervention is that

Israel is the only country in the world that possesses nuclear weapons but has never declared itself to be a nuclear power. This context is best described by which concept?

Human rights emerged out of which theory?

Which one of these is NOT a purpose of acquiring weapons of mass destruction (WMDs) by states?

Rubric get_task_times() implementation (6 points) 6pts: Accurately prompts for 5 times, calculates the average after removing the highest (slowest) time, and prints the output. 3pts: Some functionality is correct (e.g., prompts for times, calculates an average) but fails to correctly drop the highest time or format the output. 0pts: Missing or completely non-functional implementation. get_contestant_name() implementation (2 points) 2pts: Correctly prompts the user for the contestant’s name and returns it as a string. 1pt: Returns a name but has minor issues (e.g., formatting or incorrect data type). 0pts: Missing or completely non-functional implementation. get_task_scores() implementation (5 points) 5pts: Prompts for integers between 1 and 5, validates input, stores valid integers in a list, and stops when “Finish” is entered. Handles invalid input with clear error messages. 3pts: Partial functionality (e.g., accepts integers but lacks proper input validation or fails to stop correctly when “Finish” is entered). 0pts: Missing or completely non-functional implementation. print_score_board() implementation (5 points) 5pts: Prints the contestant’s name and a clean histogram where each list element corresponds to a row of hash symbols. Output matches the example format. 3pts: Prints the graph with minor formatting or logic issues (e.g., incorrect number of hash symbols or unorganized layout). 0pts: Missing or completely non-functional implementation. Program compiles and runs when copied and pasted directly from student submission. (2 points)

If you chose to keep the exam on Monday, April 27th, is there anything keeping you from taking it on Wednesday, April 29th?