2) Given the ODE y" + 3y' + 2y = x y(0) = 1 and y'(0) = 0 a) Solve by reduction to a system of 1st order ODE b) Solve using the Laplace Transform 3) Solve the following ODE. You must have at least 4 terms for y₁ and y2. y" +(x²-1) y' + y = 0
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- Read the Case Study below and answer ALL of the questions that follow. Quiet hiring strategies are getting louder Quiet hiring is gaining momentum, however there are upsides and downsides to the emerging work trend Quiet hiring has become a trending topic with Gartner's "Future of Work Trends for 2023" research forecasting that it will gain even more momentum in the coming years. By definition, quiet hiring is the practice of an organisation acquiring new skills without hiring new full-time employees. According to the Gartner research, this trend will manifest itself in organisations in a few ways such as providing upskilling opportunities for existing employees, while simultaneously meeting evolving organisational needs. It will also focus on internal talent mobility, stated the research piece, ensuring that employees address the priorities that matter most without changes in headcount. Neridha Moodley, head of People and Culture at SNG Grant Thornton, explains that there is more to…QUESTION FOUR With the use of some practical examples, compare and contrast a one tier board with a two tier one and outline the advantages and disadvantages of either QUESTION FIVE The selection of a board chairperson must be done with the strictest and utmost caution as the type and character of a board chairperson determines the success or failure of a board. Explain. QUESTION SIXCorporate Law Interview Questions Question 16. In A Strict Liability Tort, It Is Necessary To Prove That:
- Question 35 In a Goal Program formulation, what statement below best represents a situation in which the Weight factor for a particular % Deviation is given a particularly high value? Cannot be determined (subject to problem data) It begins to approach a Hard Constraint It will distort the Decision Variable solution At some value the Solver solution will be infeasibleQuestion No.2. Solve using the simplex method. z = 2x, - x2 + 2x3 Objective function subject to the constraints 2x, + x2 S 10 x, + 2r, - 2r, S 20 Constraints X2 + 2r3 = 5 where x, 2 0, x, 2 0, and x, 0.Linear programming question
- linear programing question thanksQuestion 6 Tasty Tim’s Tasty Tim’s is a specialty taco restaurant. The following tasks are required for the successful assembly of a Tasty taco (times are in seconds per taco): Chop and trim meat – 30 Chop vegetables – 20 Grill meat – 240 Grill vegetables – 180 Prepare toppings - Lettuce - 10 - Tomato - 15 - Guacamole - 40 Assemble taco - Add meat - 5 - Add vegetables - 5 - Add cheese - 5 - Add toppings - 10 Wrap taco - 20 During the lunch hour, Tasty Tim’s encounters demand for 120 tacos. During off-peak afternoon hours, demand at Tasty Tim’s drops to 40 tacos each hour. How many employees should Tim schedule to work during the afternoon? Again, ignore any effects of idle time or inefficiency due to poor line balancing.Question 1.2 Jenna Fourie has a bachelor’s degree and has worked as a computer programmer and project leader for an international organisation. In five short years she has more new software programs to her credit that anyone else in the department. She is highly creative and widely respected for her programming skills. However, Jenna is impulsive and has little tolerance for those whose work is less creative. Jenna is slow to cooperate with other departments and supervisors are unhappy with her approach. Jenna prefers to work alone and is focussed on completing her master’s degree. She has little interest in developing her team or setting goals and objective for the team to meet certain targets. Jenna has not been considered for a promotion to senior manager. Expanding on the ‘technical skills’ category of managerial skills, discuss the areas in this category of managerial skills that Jenna should develop, as well as the technical skills that Jenna already has.