Please help me solve these discrete math problems. Please show work so that i may follow and understand.
Please help me solve these discrete math problems. Please show work so that i may follow...
This is discrete mathematics. Please solve it step by step. Thank you so much. Solve the following problems, showing any necessary work. 1. Use Mathematical Induction to prove the following. a. 5 points Prove that a 5 × (6n) board can be tiled using 2 x 3 rectangles, for all positive integers n. b. [5 points] Let the Lucas sequence be defined recursively by Lo-2 Ln = Ln-ı + Ln-2, n > 2 TL Prove that 〉·L2i L2n+1 + 1...
Discrete math show all work please Use mathematical induction to prove that the statements are true for every positive integer n. n[xn - (x - 2)] 1 + [x2 - (x - 1)] + [x:3 - (x - 1)] + ... + x n - (x - 1)] = 2 where x is any integer = 1
Anyone can help me to solve my discrete math Let X be a set and suppose there is an injection f : Z → X. Prove by contradiction that X is infinite
Can someone please help me solve these problems. Please show all work so I can understand how these problems are done. Thank you in advance! 2.95 V Question 27 How many Faradays are required to reduce 5g of aluminum (IIl) to aluminum metal? (1 point) 4Gce 0.31 F 0.56 F 1.48 F 3.84 F
Discrete Math: Please help with all parts of question 5. I have included problem 3 to help answer part (a) but I only need help with question 5! 5. 3. (a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
Please help me with the follow: *ALSO Please show all work so I may follow along* Thank you! A multinomial experiment with k = 3 cells and n= 400 produced the data shown in the accompanying table. Do these data provide sufficient evidence to contradict the null hypothesis that p1 = .50, p2 = .25, and p3 = .25? Test, using a = .05. Please help me with the follow: *ALSO Please show all work so I may follow along*...
I really need help with this math problem I really need help with this math problem!! can someone help me termine whether n; n 1,2,3,...are the positive eigenvalues of y" 2y 0 where y(O) (1) 0. Do this by finding the nonzero solutions (eigenfunctions) the equation would have is these were eigenvalues. Otherwise state "these are not eigenvalues of the equation". Hint: start with the general solution of the equation, y = A cosmrx + B sin nte Are there...
This is from discrete math. Please write clearly so I can understand. 3. Recall the Fibonacci Numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, .... These are formed by defining the first two numbers, followed by a recursive formula for the rest: Fi = 1 and F2 = 1, where F = F.-2+ FR-2, where n EN and n 3. Let ne N and F. be the nth Fibonacci number. Prove that (6) +(";")+(";2)+(";") +--+ () =...
Discrete Math - Recursive Please write neatly and provide as many steps as possible so I can't understand it. Thank you Give a recursive definition of the set of bit strings that have "even" length. Give a recursive definition of the set of all even positive integers not divisible by 3.
Discrete Math: Prove that there can be no perfect square between 25 and 36, i.e. there is no integer n so that 25 < n2 < 36. Prove this by directly proving the negation. Your proof must only use integers, inequalities and elementary logic. You may use that inequalities are prsered by adding a number on both sides, or by multiplying both sides by a positive number. You cannot use the square root function. Do not write a proof by...