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examples in the problem sheets where the maximum of a quadratic over an interval does not occur at an end point so a proof of this claim was required. ii In general students could either remember this proof or they could not. Small errors were incorrectly placing the \Let " > 0 be given" or again forgetting the \0 <" in 0 <jx aj< .
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Here are problems used on the final exams in previous versions of B01.1305. These are identified as A, B, C, and D. E2 is an additional problem. Problems in the F set are from the actual 2006 final exam.
- Question 1.
- Question 2.
- Question 3.
- Question 4.
- Question 5.
- Question 6.
- Question 7.
- Question 8.
- Question 9.
- Question 10.
You are called to see a 54 year old lady on the ward. She is three days post-cholecystectomy and has been complaining of shortness of breath. Her ABG is as follows: 1. pH: 7.49 (7.35-7.45) 2. pO2: 7.5 (10–14) 3. pCO2: 3.9 (4.5–6.0) 4. HCO3: 22 (22-26) 5. BE: -1 (-2 to +2) 6. Other values within normal range
A 75 year old gentleman living in the community is being assessed for home oxygen. His ABG is as follows: 1. pH: 7.36 (7.35-7.45) 2. pO2: 8.0 (10–14) 3. pCO2: 7.6 (4.5–6.0) 4. HCO3: 31 (22-26) 5. BE: +5 (-2 to +2) 6. Other values within normal range
A 64 year old gentleman with a history of COPD presents with worsening shortness of breath and increased sputum production. 1. pH: 7.21 (7.35-7.45) 2. pO2: 7.2 (10–14) 3. pCO2: 8.5 (4.5–6.0) 4. HCO3: 29 (22-26) 5. BE: +4 (-2 to +2) 6. Other values within normal range
A 21 year-old woman presents feeling acutely lightheaded and short of breath. She has her final university exams next week. 1. pH: 7.48 (7.35-7.45) 2. pO2: 12.1 (10–14) 3. pCO2: 3.5 (4.5–6.0) 4. HCO3: 22 (22-26) 5. BE: +2 (-2 to +2) 6. Other values within normal range
A 32 year-old man presents to the emergency department having been found collapsed by his girlfriend. 1. pH: 7.25 (7.35-7.45) 2. pO2: 11.1 (10–14) 3. pCO2: 3.2 (4.5–6.0) 4. HCO3: 11 (22-26) 5. BE: -15 (-2 to +2) 6. Potassium: 4.5 7. Sodium: 135 8. Chloride: 100 9. Other values within normal range
A 67 year-old man with a history of peptic ulcer disease presents with persistent vomiting. 1. pH: 7.56 (7.35-7.45) 2. pO2: 10.7 (10–14) 3. pCO2: 5.0 (4.5–6.0) 4. HCO3: 31 (22-26) 5. BE: +5 (-2 to +2) 6. Other values within normal range
A seventeen year-old girl presents to the emergency department after an argument with her boyfriend. He says that she took lots of tablets. She denies this. You persuade her to let you do an ABG: 1. pH: 7.46 (7.35-7.45) 2. pO2: 12.5 (10–14) 3. pCO2: 3.5 (4.5–6.0) 4. HCO3: 22 (22-26) 5. BE: +1 (-2 to +2) 6. Other values within normal range A few hou...
A normally fit and well 11 year-old boy presents with diarrhoea and vomiting. He is complaining of non-specific abdominal pain. A venous blood gas shows: 1. pH: 7.12 (7.35-7.45) 2. pO2: 11.5 (10–14) 3. pCO2: 3.2 (4.5–6.0) 4. HCO3: 9 (22-26) 5. BE: -17 (-2 to +2) 6. Lactate: 4.0 7. Potassium: 5.5 8. Glucose: 22 9. Other values within normal range
A 22 year-old lady with a known history of asthma presents to the emergency department with difficulty in breathing. Her initial ABG on 15 litres of oxygen shows: 1. pH: 7.54 (7.35-7.45) 2. pO2: 10.0 (10–14) 3. pCO2: 3.2 (4.5–6.0) 4. HCO3: 24 (22-26) 5. BE: +0 (-2 to +2) 6. Other values within normal range After initial treatment the nurse in resus...
A 62 year-old woman with a history of diabetes and a long smoking history presents to the emergency department with worsening shortness of breath. On auscultation of the chest there are widespread crackles and you notice moderate ankle oedema. ABG shows: 1. pH: 7.20 (7.35-7.45) 2. pO2: 8.9 (10–14) 3. pCO2: 6.3 (4.5–6.0) 4. HCO3: 17 (22-26) 5. BE: -...
Monday, 14 August, 2000, 17:04 GMT 18:04 UK. Have you been caught in the exam results fiasco? The exam results controversy rumbles on in Scotland. It has already claimed the resignation of...
Final Exam – Recursive Estimation Example Solution 1 a) In order for f(x,y) to be a valid PDF, we require that Z X Z Y f(x,y) dydx= 1. We find Z Y f(x,y) dy= Za 0 x+ 2y+ 2xydy= xy+ y2 + xy2 a 0 = ax+ a2 + a2x and Z1 0 ax+ a2 + a2xdx= ax2 2 + a2x+ a2x2 2 1 0 = 3 2 a2 + 1 2 a. Solving 3 2 a2 + 1 2 a= 1 for a, we find the two solutions a+ = − ...
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Jan 19, 2024 · Embrace a positive mindset. Approach the process of reflecting on your mock exam results with a positive mindset. Remember that your results are not a final judgement but a snapshot of your current knowledge and understanding. If you’re disappointed with your results, try to view them as an opportunity for growth and improvement rather than a ...
details. You may use results proven in class, but you should explicitly cite the result being used. Do not use results not proven in class. •If you need extra room, use the back sides of each page. If you must use extra paper, make sure to write your name on it and attach it to this exam. Do not unstaple or detach pages from this exam ...
