Could I have help with entire question please.
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Could I have help with entire question please. P+1 pt1 for any 2. In this question we will show by first principles tha...
Could I have help with entire question please. P+1 pt1 for any 2. In this question we will show by first principles that xpdz = p>0 a) Prove that (b) Use the formula (k +1)3- k3k23k +1 repeatedly to show that (for any n) m n (n+1) 7n and thus k2 mav be written in terms ofk- . Specifi- k-1 cally rL Note: An induction argument is not required here. (c) Using the same method with (complete) induction, or otherwise,...
Problem 1 148pts] (1) I 10pts! Let P(n) be the statement that l + 2 + + n n(n + 1) / 2 , for every positive integer n. Answer the following (as part of a proof by (weak) mathematical induction): 1. [2pts] Define the statement P(1) 2. [2pts] Show that P(1 is True, completing the basis step. 3. [4pts] Show that if P(k) is True then P(k+1 is also True for k1, completing the induction step. [2pts] Explain why...
please help with 6a b and C 6. Prove by strong induction: Any amount of past be made using S 7 and 13 cent stamps. (Fill in the blank with the smallest number that makes the statement true). Let fib(n) denote the nth Fibonacci number, so fib(0) - 1, fib(1) - 1, fib(2) -1, fib(3) = 2, fib(4) – 3 and so on. Prove by induction that 3 divides fib(4n) for any nonnegative integer n. Hint for the inductive step:...
Hi, I would appreciate any help for this problem I don't really understand for discrete math. Thanks! (: 15. (P5) Remember, an L-tromino is a shape consisting of three equal squares joined at the edges to form a shape resembling the capital letter L. Consider the following "theorem" "Theorem": For any integer n 1, if one square is removed from a 2·2" × 3·2" checkerboard. the remaining squares can be completely covered by L-shaped trominoes. What follows is a supposed...
Can any one explain the claim for me please? I cannot see why thats true as p is greater than 1, surely we will have extra terms. To me its like it is calming (a+b)^2 <= a^2 + b^2 Any help will be much appreciated. Let Take f, g E B: then for any λ E (0, 1) we have CL Let Take f, g E B: then for any λ E (0, 1) we have CL
Could I get help on question 1 and 2 please L/2 L/4 L/2 L/4 P/2 P/2 3 pt. Loading 4 pt. Loading 1. The schematics above show two common mechanical testing geometries - a 3 point loaded specimen and 4 point loaded specimen. The samples you would test in these geometries would be called "flexure" samples. P is the load measured by the load cell Samples would actually be longer than L but the contact points determine the loading profile...
i need help with 2b please is a set of input values, Y- 2. In this question, we reuse the notation of lecture 37: X-{xi, ,x , m-1) is a set of hash values, and H is an [X → Y)-valued random variable {0.1, In lecture, we showed that for any hash value y e Y, the expected number of input values that hash to y is k/m, where k XI and m Yl. However, in determining the time it...
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...
Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...
Hey guys I need help with this question with 3 sub-problems. f test remove short synonyms () Define the remove shorti synonyms function which is passed a dictionary as a parameter- The keys of the parameter dictionary are words and the corresponding values are 1ists of synonyms (synonyms are words which have the same or nearly the same meaning). The function romoves all the eynonyme which have ous than 8 charactors from each corresponding list of synonyms-As well, the funet...