Homework Answers
As we see that recurrence relation of this function G is same as F ..
So general solution of both Gn amd Fn are same...differennce only values of constants C1 and C2
.because C1 and C2 depend on conditions..
Any query in amy step then comment below. I will explain you..
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and order Recuerences Suppose that, instead of the usual Ebonacei F and Fria= Fati +Fn we start with-2 4nd 3. and Gr al...
3. Given a directed graph G < V E >, we define its transpose Gr < V.E1 > to be the graph such tha...
3. Given a directed graph G < V E >, we define its transpose Gr < V.E1 > to be the graph such that ET-{ < v, u >:< u, v >EE). In other words, GT has the same number of edges as in G, but the directions of the edges are reversed. Draw the transpose of the following graph: ta Perform DFS on the original graph G, and write down the start and finish times for each vertex in...
Suppose that we add a new quantifier called exists unique to first- (d) order logic, using the symbol 3! to represent it. It means that there is exactly one element of the universe that satisfies...
Suppose that we add a new quantifier called exists unique to first- (d) order logic, using the symbol 3! to represent it. It means that there is exactly one element of the universe that satisfies the subsequent formula. In this question, variables will range over the universe of numbers. [1 mark] (0) Is 3!x. x + x 2 valid? Why? Give an example of a valid formula that uses the quantifier, and an example of an unsatisfiable one. Both must...
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and li...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
2. (18 marks total) In this exercise, we will derive the famous "envelope theorem". Suppose you...
2. (18 marks total) In this exercise, we will derive the famous "envelope theorem". Suppose you wish to (unconditionally) maximize some objective function f(x,y; a), where r and y are two variables you can choose, while a is some variable that is given exogenously. Note that, even though we don't get to choose a, it may still affect the optimal choice of r. An example of a variable like this would be the wage in the household problem we discussed...
can you give the Answers to E,F,G,H? 2. Model : We will replace our data with...
can you give the Answers to E,F,G,H?
2. Model : We will replace our data with a probability mass function. In other words assume we know that of all the world's beers 70% are low alcohol, 20% are medium alcohol and 10% are high alcohol. We also assume all low alcohol beers are 5.13% ABV, medium are 6.85% ABV and high is 10.20% ABV. Let X be a random variable representing the ABV of a randomly selected beer. a. (4pts)...
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there...
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there a truth assignment for the variables such that each clause has at least one true literal and at least one false literal? The NOT-ALL-EQUAL 3SAT problem is NP-complete. This question is about trying to reduce the NOT-ALL-EQUAL 3SAT problem to the MAX-CUT problem defined below to show the latter to be NP-complete. A cut in an undirected graph G=(V.E) is a partitioning of the...
Please do exercise 129: Exercise 128: Define r:N + N by r(n) = next(next(n)). Let f:N...
Please do exercise 129:
Exercise 128: Define r:N + N by r(n) = next(next(n)). Let f:N → N be the unique function that satisfies f(0) = 2 and f(next(n)) =r(f(n)) for all n E N. 102 1. Prove that f(3) = 8. 2. Prove that 2 <f(n) for all n E N. Exercise 129: Define r and f as in Exercise 128. Assume that x + y. Define r' = {(x,y),(y,x)}. Let g:N + {x,y} be the unique function that...
X G Answer The Following Muli m Belgium 3-1 Russia: Eden x ■ CBU I Cape Breton Univers resource%2...
x G Answer The Following Muli m Belgium 3-1 Russia: Eden x ■ CBU I Cape Breton Univers resource%2Fcontent%2F1%2Fassig6,MATH 1203-W201 9pdf Due date: Thurs., Mar. 28 Please get an early start on this assignmext. If you have problens then come and see me to get help. Also remember, there are far more marks for procedure than for final answers. Write your solutions neatly and in a then come and see me to get help well organized fashion. Show all work....
specifically on finite i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at le...
specifically on finite
i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at least one xpeated digin? I. This is the oounting problem Al ancmher so ask yourelr (1) ls onder ipo n How many strings of four bexadeci ) A Compuir Science indtructor has a stack of blue can this i For parts c, d. and e, suppose...
3. Given a directed graph G < V E >, we define its transpose Gr < V.E1 > to be the graph such that ET-{ < v, u >:< u, v >EE). In other words, GT has the same number of edges as in G, but the directions of the edges are reversed. Draw the transpose of the following graph: ta Perform DFS on the original graph G, and write down the start and finish times for each vertex in...
Suppose that we add a new quantifier called exists unique to first- (d) order logic, using the symbol 3! to represent it. It means that there is exactly one element of the universe that satisfies the subsequent formula. In this question, variables will range over the universe of numbers. [1 mark] (0) Is 3!x. x + x 2 valid? Why? Give an example of a valid formula that uses the quantifier, and an example of an unsatisfiable one. Both must...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
2. (18 marks total) In this exercise, we will derive the famous "envelope theorem". Suppose you wish to (unconditionally) maximize some objective function f(x,y; a), where r and y are two variables you can choose, while a is some variable that is given exogenously. Note that, even though we don't get to choose a, it may still affect the optimal choice of r. An example of a variable like this would be the wage in the household problem we discussed...
can you give the Answers to E,F,G,H?
2. Model : We will replace our data with a probability mass function. In other words assume we know that of all the world's beers 70% are low alcohol, 20% are medium alcohol and 10% are high alcohol. We also assume all low alcohol beers are 5.13% ABV, medium are 6.85% ABV and high is 10.20% ABV. Let X be a random variable representing the ABV of a randomly selected beer. a. (4pts)...
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there a truth assignment for the variables such that each clause has at least one true literal and at least one false literal? The NOT-ALL-EQUAL 3SAT problem is NP-complete. This question is about trying to reduce the NOT-ALL-EQUAL 3SAT problem to the MAX-CUT problem defined below to show the latter to be NP-complete. A cut in an undirected graph G=(V.E) is a partitioning of the...
Please do exercise 129:
Exercise 128: Define r:N + N by r(n) = next(next(n)). Let f:N → N be the unique function that satisfies f(0) = 2 and f(next(n)) =r(f(n)) for all n E N. 102 1. Prove that f(3) = 8. 2. Prove that 2 <f(n) for all n E N. Exercise 129: Define r and f as in Exercise 128. Assume that x + y. Define r' = {(x,y),(y,x)}. Let g:N + {x,y} be the unique function that...
x G Answer The Following Muli m Belgium 3-1 Russia: Eden x ■ CBU I Cape Breton Univers resource%2Fcontent%2F1%2Fassig6,MATH 1203-W201 9pdf Due date: Thurs., Mar. 28 Please get an early start on this assignmext. If you have problens then come and see me to get help. Also remember, there are far more marks for procedure than for final answers. Write your solutions neatly and in a then come and see me to get help well organized fashion. Show all work....
specifically on finite
i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at least one xpeated digin? I. This is the oounting problem Al ancmher so ask yourelr (1) ls onder ipo n How many strings of four bexadeci ) A Compuir Science indtructor has a stack of blue can this i For parts c, d. and e, suppose...
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