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1. Elements of A={1,2,3,4,5,6,7,8}.
2.
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4. Consider the set A={{1, 2, 3}, {4,5}, {6,7,8}}. (a) What are the elements of A?...
PLEASE ANSWER ALL NUMBER 3 (Parts A-F) Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a funct...
PLEASE ANSWER ALL
NUMBER 3 (Parts A-F)
Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
1. Let S and T be subsets of the universal set U. Use the Venn diagram...
1. Let S and T be subsets of the universal set
U. Use the Venn diagram on the right and the given data below to
determine the number of elements in each basic region.
n(U)=25
n(S)=13
n(T)=14
n(SUT)=19
Region I contains _____ elements
Region II contains _____ elements
Region III contains _____ elements
Region IV contains _____ elements
______________________________________________________________________________________________________
2. Let R, S, and T be subsets of the universal
set U. Use the Venn diagram on the right and...
Given that U = {1, 2, 3, ..., 11, 12, 13} A = {2, 6, 7,...
Given that U = {1, 2, 3, ..., 11, 12, 13} A = {2, 6, 7, 8, 11} B = {2, 4, 5, 10} C = {3,4,5,8, 9, 11, 13} Determine which elements land in each region of the following Venn Diagram. A III. VII. VIII. LIST the elements in each of the following regions in set notation: Hint Region I Region II - Region III - Region IV = Region V = Region VI = Region VII = Region...
1. Devise a method of converting trans-2-methyl-3-hexene into -4-methylpentanoic acid. 2. Show that you understand the...
1. Devise a method of converting trans-2-methyl-3-hexene into -4-methylpentanoic acid. 2. Show that you understand the concept of retrosynthetic analysis by working backwards two steps in the synthesis below. Identify possible combinations of A and B that can lead to the alkyne C): A) B-1 and A-VI B) B-V and A I C) B-III and A-VII D) B-IV and A-VII E) B-T and A-III F) B-VI and A-VIII 3. Show that you understand the concept of retrosynthetic analysis by working...
4. Consider the reaction energy diagram below. Consider the "potential energy" to be equal to enthalpy....
4. Consider the reaction energy diagram below. Consider the "potential energy" to be equal to enthalpy. Potential energy Reaction progress First, indicate on the diagram the activation energy, transition state, and the change of enthalpy for every step of this step-wise process, as well as the change in enthalpy for the overall reaction. Then, answer the following questions: (i) How many elementary steps are there in the mechanism of this reaction? (ii) Which of these steps is the rate-determining step?...
Consider the following system at equilibrium. N2(g) + 3 H2 (g) 2 NH3(g) + 92.24 kJ...
Consider the following system at equilibrium. N2(g) + 3 H2 (g) 2 NH3(g) + 92.24 kJ <--> Which response includes all of the following that will shift the equilibriu to the right, and no others? I. increasing the temperature III. increasing the pressure II. decreasing the temperature IV. decreasing the pressure VI. adding some NH3 V. removing some NH3 VII. removing some N2 VIII. adding some N2 a) I, IV, VI, and VII c) I, VI, and VII e) II,...
1. Consider the three reaction energy diagrams below. Make sure you can justify your answer for...
1. Consider the three reaction energy diagrams below. Make sure you can justify your answer for the purposes of Exam 3 – simply guessing on this multiple choice question will NOT help you when you're asked to explain your reasoning on the exam! energy energy energy reaction coordinate reaction coordinate reaction coordinate i) Which forward reaction do you expect to proceed fastest, assuming the same energy scale for each? ii) Which reaction do you expect to be the most favorable...
1. Consider the three reaction energy diagrams below. Make sure you can justify your answer for...
1. Consider the three reaction energy diagrams below. Make sure you can justify your answer for the purposes of Exam 3 - simply guessing on this multiple choice question will NOT help you when you're asked to explain your reasoning on the exam! energy- energy- reaction coordinate reaction coordinate reaction coordinate i) Which forward reaction do you expect to proceed fastest, assuming the same energy scale for each? ii) Which reaction do you expect to be the most favorable in...
4. For this question, we define the following matrices: 1-2 0 To 61 C= 0 -1...
4. For this question, we define the following matrices: 1-2 0 To 61 C= 0 -1 2 , D= 3 1 . [3 24 L-2 -1] (a) For each of the following, state whether or not the expression can be evaluated. If it can be, evaluate it. If it cannot be, explain why. i. B? +D ii. AD iii. C + DB iv. CT-C (b) Find three distinct vectors X1, X2, X3 such that Bx; = 0 for i =...
or 5. 1. Consider the following game tree. In this tree, a player, say Player 3,...
or 5. 1. Consider the following game tree. In this tree, a player, say Player 3, has an information set with three nodes, I, II, and III in it. Explain whether each of the following is true or false. (a) Node I is Player 3's decision node, but node II is Player 2's decision node. (b) Player 3 has three actions at node III and two at node I (c) Player 3 has exactly two actions at node III, labeled...
PLEASE ANSWER ALL
NUMBER 3 (Parts A-F)
Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
1. Let S and T be subsets of the universal set
U. Use the Venn diagram on the right and the given data below to
determine the number of elements in each basic region.
n(U)=25
n(S)=13
n(T)=14
n(SUT)=19
Region I contains _____ elements
Region II contains _____ elements
Region III contains _____ elements
Region IV contains _____ elements
______________________________________________________________________________________________________
2. Let R, S, and T be subsets of the universal
set U. Use the Venn diagram on the right and...
Given that U = {1, 2, 3, ..., 11, 12, 13} A = {2, 6, 7, 8, 11} B = {2, 4, 5, 10} C = {3,4,5,8, 9, 11, 13} Determine which elements land in each region of the following Venn Diagram. A III. VII. VIII. LIST the elements in each of the following regions in set notation: Hint Region I Region II - Region III - Region IV = Region V = Region VI = Region VII = Region...
1. Devise a method of converting trans-2-methyl-3-hexene into -4-methylpentanoic acid. 2. Show that you understand the concept of retrosynthetic analysis by working backwards two steps in the synthesis below. Identify possible combinations of A and B that can lead to the alkyne C): A) B-1 and A-VI B) B-V and A I C) B-III and A-VII D) B-IV and A-VII E) B-T and A-III F) B-VI and A-VIII 3. Show that you understand the concept of retrosynthetic analysis by working...
4. Consider the reaction energy diagram below. Consider the "potential energy" to be equal to enthalpy. Potential energy Reaction progress First, indicate on the diagram the activation energy, transition state, and the change of enthalpy for every step of this step-wise process, as well as the change in enthalpy for the overall reaction. Then, answer the following questions: (i) How many elementary steps are there in the mechanism of this reaction? (ii) Which of these steps is the rate-determining step?...
Consider the following system at equilibrium. N2(g) + 3 H2 (g) 2 NH3(g) + 92.24 kJ <--> Which response includes all of the following that will shift the equilibriu to the right, and no others? I. increasing the temperature III. increasing the pressure II. decreasing the temperature IV. decreasing the pressure VI. adding some NH3 V. removing some NH3 VII. removing some N2 VIII. adding some N2 a) I, IV, VI, and VII c) I, VI, and VII e) II,...
1. Consider the three reaction energy diagrams below. Make sure you can justify your answer for the purposes of Exam 3 – simply guessing on this multiple choice question will NOT help you when you're asked to explain your reasoning on the exam! energy energy energy reaction coordinate reaction coordinate reaction coordinate i) Which forward reaction do you expect to proceed fastest, assuming the same energy scale for each? ii) Which reaction do you expect to be the most favorable...
1. Consider the three reaction energy diagrams below. Make sure you can justify your answer for the purposes of Exam 3 - simply guessing on this multiple choice question will NOT help you when you're asked to explain your reasoning on the exam! energy- energy- reaction coordinate reaction coordinate reaction coordinate i) Which forward reaction do you expect to proceed fastest, assuming the same energy scale for each? ii) Which reaction do you expect to be the most favorable in...
4. For this question, we define the following matrices: 1-2 0 To 61 C= 0 -1 2 , D= 3 1 . [3 24 L-2 -1] (a) For each of the following, state whether or not the expression can be evaluated. If it can be, evaluate it. If it cannot be, explain why. i. B? +D ii. AD iii. C + DB iv. CT-C (b) Find three distinct vectors X1, X2, X3 such that Bx; = 0 for i =...
or 5. 1. Consider the following game tree. In this tree, a player, say Player 3, has an information set with three nodes, I, II, and III in it. Explain whether each of the following is true or false. (a) Node I is Player 3's decision node, but node II is Player 2's decision node. (b) Player 3 has three actions at node III and two at node I (c) Player 3 has exactly two actions at node III, labeled...
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