For full marks you must be clear about any result you use, including any conditions for...
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's rule, the sandwich theorem or any convergence tests for series. You do not need to justify using limit laws 2n n3 or explain why it does not exist. (a) Evaluate lim n (b) Determine whether each of the following converge: n+3 2n (i) 2 (3n) (ii) (n3)! n=1 Question 2 (10 marks) In this question you must state if you use any...
Please have a clear hand writing :) Question Question 11 (2 marks) Special Attempt 1 (r+5 Consider the initial value problem: u'ー(EN) e-2x· y(0)=5. Using TWO(2) steps of the following explict third order Runge-Kutta scheme k3), 7t obtain an approximate solution to the initial value problem at x 0.2 Maintain at least eight decimal digit accuracy throughout all your calculations You may express your answer as a single five decimal digit number, for example 17.18263. YOU DO NOT HAVE TO...
Would someone help me with the last 3 questions here, I got the previous ones but need help with the last 3 in red. Thank you Transcribed: Now that you nd a rst order system of ODEs, you can solve it using the Huens method ac- cording to the material you covered in computational module 2. A template of the code which will help you to get started is also available. Attach the complete code as a pdf page to...
can you show details about the all of the answers for this question? thanks Torsional vibraton of a shat is govemed by the wave equation, &2 where ,t) is the angular displacement (angle of twist) along the shaft, z is the distance from the end of the shaft and t is time. For a shaft of length 3r that is supported by frictionless bearings at each end, the boundary conditions are (0,)-(3,t)-, t>0. Suppose that the initial angular displacement and...
LAB 1 LIMITS&GRAPHS (NOTE: You can use Microsoft Mathematics, Derive, Wolframalpha or any other Computer Algebra System of your choice. Your final report must be clear and concise. You must also providesufficient comments on your approach and the final results in a manner that will make your report clear and accessible to anyone who is familiar with the basic concepts, operations and applications of calculus I.) Your work should be submitted as a Derive 5.0, MS Word or a pdf...
I must use R Program to solve them. Please help! Thank you ünif uniform random variable 1) Draw the graphs of the p.d.f. of the following distributions (a) The standard normal p.d.f (b) The normal pdf with ? = 50, ? = 10 (c) The uniform p.d.f. over interval [10, 20] (d) The exponential P.d.f with parameter ? 4. 2) Illustrating the central limit theorem. Let X be a random variable having the uniform distribution over the interval [6, 12]...
Please solve for part (b) and (c) thank you! 1. Consider the function f(x) = e-x defined on the interval 0 < x < 1. (a) Give an odd and an even extension of this function onto the interval -1 < x < 1. Your answer can be in the form of an expression, or as a clearly labelled graph. [2 marks] (b) Obtain the Fourier sine and cosine representation for the functions found above. Hint: use integration by parts....
ppsMDb Youlube M Inbox- navee Question 1 6 marks he points A(a,b) and C(c,d) are the opposite vertices of square ABCD in the Cartesian plane What are the coordinates of the other two vertices? Be sure to cover all cases of where A and C could bel (a) 4 marks (b) What is the area of the square ABCD? 2 marks P A(ab) (Hint: you may find the following construction useful. Calculate both p+q and p-q) C(c,d) g Minh Pham...
4 Rally-car Tracking 5 marks You are testing software designed to track race cars as they race around a track, to improve the quality of camera-work in race broadcasts on television. You are in a blimp, high above a speedway. The cabin of the blimp has a glass floor, and by looking down, you can observe the racetrack below. There is a car doing a time-trial. The software produces the following parametric equation approximating the position of the car at...
4 Rally-car Tracking [5 marks] You are testing software designed to track race cars as they race around a track, to improve the quality of camera-work in race broadcasts on television. You are in a blimp, high above a speedway. The cabirn of the blimp has a glass floor, and by looking down, you can observe the racetrack below. There is a cair doing a time-trial. The software produces the following parametric equation approximating the position of the car at...