You are serving on the capital request committee as senior leadership and medical staff rank the lists from all service lines and activities. You notice that two proposals from two different units are synergistic; if done together, they will generate bigger improvements and be significantly cheaper than the individual proposals claim. But these are not units that report to you; if their proposals move up, funding chances for your units go down. What should you do?

In the video, “Is This the Future of Health”, Dr. Eric Topol describes how artificial intelligence (AI) can “rescue healthcare.” Which of the following statements best describes his overarching theme of implementing AI in health services delivery?

During a health counseling session using the Micro-skills Counseling Approach, the following exchange takes place:          Client: I can follow this diet when I’m at home, but with the kind of job I have that puts  me on the road five or six days a month, I have to eat in restaurants, and then I  really blow my diet.             Helper:  You’re saying that you have success on the diet when you can eat at home, but you’re  not very successful when you eat away from home.   Is that about right?   The helper’s response is an example of which of the following Responding Skill?

Will a precipitate of PbCl2 (Ksp = 1.6 × 10–5) form in a solution with the following initial concentrations: [Pb2+] = 0.03 M and [Cl-]=0.02 M    

Consider the following chemical reactions. 1:       2 KClO4(s)     ⟶    2 KClO3(s)    +    O2(g) 2:       H2O(g)     ⟶   H2O(l) 3:       2 HgO(s)     ⟶    2 Hg(l)    +    O2(g) Which of the following reactions would you expect to have a negative entropy change?

(45 points) Work out the following problems (12, 13, and 14) on paper.  When you are done, take a photo of your work and upload it to CANVAS as a SINGLE jpeg or pdf.  You must SHOW ALL OF YOUR WORK (no work – no points).  You also must show ALL relevant reactions (equilibria and/or 100% complete). Report answers to three significant figures. Circle your final answers.   Determine the molar solubility of silver sulfide, Ag2S, in a solution that is 1.5×10–4 M AgNO3. The Ksp of silver sulfide is 6.2×10–30. Determine the change in entropy for the following reaction using the entropies of formations given:                   2 Pb(s)  +  O2(g)  

Which of the following insoluble salts will show no pH dependence in it’s solubility? 1.     BaC2O4 2.     SrSO4 3.     Fe(OH)3

Which of the following insoluble salts will show a pH dependent solubility? 1.     BaC2O4 2.     SrSO4 3.     Fe(OH)3

Problem 2 (5 points) – B-Tree (1) (1 point) Explain how to find the minimal key stored in a B-tree; (2) (2 points) Give the pseudo code of the predecessor function B-Pred(x, k) of a given key k stored in node x of a B-tree; (3) (2 points) Show the process of inserting the following keys into a B-tree with degree t = 2 in the given order using the algorithm in our Textbook: Your Family Name, FIU, SCIS, COP5407,  Final, Exam, and Spring2025 (you only need to show the relative positions of the keys without drawing the nodes).

Problem 1 (8 points) – Concepts on Data Structures and Analysis Techniques      Please keep your answers short (one sentence for the problem description and a couple of sentences for meaningful explanations). (1) (1 point) Briefly describe a simple problem where hash tables can be effectively used. (2) (1 point) Briefly describe a simple problem where B-trees can be effectively used. (3) (1 point) Briefly describe a simple problem where disjoint sets can be effectively used. (4) (1 point) Briefly describe a simple problem where average case complexity analysis is needed. (5) (1 point) Briefly describe a simple problem where amortized analysis is needed. (6) (1 point) Briefly describe a simple problem where greedy methods can be effectively used. (7) (1 point) Briefly describe a simple problem where dynamic programming is needed. (8) (1 point) Briefly describe a simple problem where graph search algorithms can be effectively used.