1. For each part of this question carefully justify your conclusions by referring to the appropriate tests or standard...
1. For each part of this question carefully justify your conclusions by referring to the appropriate tests or standard limits. (a) Determine whether the following series converges or diverges: n sin2 n (b) For which integer values of p does the following series converge? oo 2pm (n +p)! n lpl Show transcribed image text
In this question carefully justify your conclusions by refering to the appropriate tests. (a) Determine whether the following series converges or diverges: (to infinity) (n*(sin(n))^2)/((n^3)-7) (b) For which integer values of p does the following series converge? (to infinity)((2^(pn))(n+p)!)/(n+p)^n please write your answers on a piece of paper and take a photo for clarity. n=3 We were unable to transcribe this image Show transcribed image text
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...
Question 3 (covers Unit 6) - 25 marks . Your answers to part (a) of this question must be shown with your own work . Part (b) and (c) of this question are required you to use Mathcad to compute your solutions. You must submit a copy or attached a copy of your Mathcad solutions to your tutor for marking (a) Consider the following matrix 2 1 -2 A-0 5 0 (i) Find three eigenvalues λ of A. One of...
please use excel!!!!! the following problems and answer the following questions. Document, justify or 1 of 1 any calculations and computations. Even if working as a group, each group member er or his own copy of the solutions as documentation. Using appropriate technology is encouraged when appropriate; however, such work must be fully documented or explained. Software printouts or spreadsheet copies should include your name within the text so to verify the work as your own. Your work must be...
1,4? Part I: Choose five of these questions. (12 points each) 1. Here is the van der Waals Equation for one mole of gas P Given this equation, how does the infinitesimal change in pressure, or as specific as possible. (In other words, evaluate the derivatives.) with d V and dT? B e-NV, where is the sity her of molecules and V is the fshe wall perpendicular to the 2. A sample of gas molecules of density N e e...
3,9? Part I: Choose five of these questions. (12 points each) Ana 1. Here is the van der Waals Equation for one mole of gas: P -by vary with dV and dT? Bethe Given this equation, how does the infinitesimal change in pressure, dl. as specific as possible. (In other words, evaluate the derivatives.) andard 2. A sample of gas molecules of density D N / Vwhere N is the numbe volume) is moving with a speed y, in the...
Part of the question highlighted in Blue. Thanks! 1 If babies are born prematurely, there is a risk that they wll be under-developed and suffer a variety of health problems. There is good evidence that mothers who give birth prematurely in one pregnancy will also do so in later pregnancies, so in the following studies, the subjects were mothers who had given birth prematurely siniz) an a Cn-1)d in their first pregnancy () Clinicians designed and conducted a study to...
Part I (worth 1 point each) Number your paper from 1-7 and list the correct letter choice/term for each statement. A. Harm principle B. Health Insurance Portability and Accountability Act (HIPAA) C. Institutional review board D. Legitimate interest E. Privacy Rule F. Right to privacy G. Utilization review 1. A research committee set up to examine the protocol design for research to ensure that the research conforms to appropriate standards for humans. 2. Used in cases where patient confidentiality places...
True/FalsePlease indicate if the following statements are true or false.1. The variable of height is an example of a quantitative variable.2. Rating a restaurant by a number of stars is an example of an ordinal level of measurement.3. In a research study, it is always preferable for the researcher to choose his participants as carefully as possible rather than randomly accept samples.4. In the following chart, the height is the independent variable and the age of the tree is the...
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