Log base 10 of x + log base 10 of x+3 =1 x?
Q: Order the following functions by their growth rate: O(Log N), O(N°), O(1), O(N), O(2N), O(N Log N),…
A: The given functions are O (Log N), O(N4), O(1), O(N), O(2N), O(N Log N), O(N2) The order of the…
Q: (a) ged(24, 54) = 6 (b) gcd(18,42) = 6 Now you try some: Answers (c) gcd(244, 354) = 2 (d) gcd(128,…
A: - We have to work with GCD of two numbers.
Q: sum1 = 0; for (k=1; k<=n; k*=2) for (j=1; j<=n; j++) sum1++; sum2 = 0; for (k=1; k<=n; k*=2) for…
A: Рrimitive орerаtiоns аre bаsiс соmрutаtiоns рerfоrmed by аn аlgоrithm. Exаmрles аre…
Q: Prove or disprove: (a) 100n 2 − 65n + 10 ∈ O(n 2 ) (b) n 3 log n + 2n 2 + 3 ∈ O(n 3 )
A: The required answer is in subsequent steps.
Q: 5. Find the compliment for F= z+z'(v'w+xy)
A: Complement Of z + z' ( v' w + xy ) Solution is below
Q: 2. Obtain the minterm list for f(A, B, C,D) = ABD + ĀCD + BC. 3. Obtain the maxterm list for f(A,…
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Q: Consider the table given below and determine the entropy of source (i.e. H (S)) Source Pi Code A S1…
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Q: What would be the function grows the slowest among them? 1. n0.5 2. log(n0.5) 3. (log(n))0.5…
A: The function grows the slowest in the given function
Q: Order the following functions by growth rate: n-n+ 7n', n log n, 2"2, n’, 5 log n, n'2+ log n, log…
A: The comparisons of various time complexities are as follows : O(1) < O(loglog n) < O(log n)…
Q: What is the largest n for which one can solve within a minute using an algorithm that requires f(n)…
A: Part (a) log(n) Given that each bit is carried out in 10-12 seconds. Hence T=10-12 seconds The…
Q: What would be the result of x'y xz =? Your answer: O xyz +x'yz' O yz +x'z xz + x'y O x+x'y
A: Find the answer with explanation given as below :
Q: 3. Put 0, 0, N in the right position, the same as the given example: a) n2 = .-· (n), solution: n2 =…
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Q: show the validity b(s, b, b), b c d (E(b, c, d) → E(h(b), c, h(d)))
A: According to the information given:- We have to show the validity of mention
Q: XOR AX, AX ADD AX,1 NOT AX NEG AX
A: XOR AX, AX ADD AX,1 NOT AX NEG AX
Q: Order the following in big O : n², 1.01n, log n², n √n, n log n, n0.1, 1000
A: Big O complexity: It is used to analyze how complex to solve the program. Using the this complexity…
Q: (¬P ∧ ¬R) ∨ (P ∧ ¬Q ∧ ¬R) is equivalent to ¬R ∧ (Q ⇒ ¬(P ∧ ¬R))
A: TO PROVE LHS = RHS THAT IS --> (¬P ∧ ¬R) ∨ (P ∧ ¬Q ∧ ¬R) is equivalent to ¬R ∧ (Q ⇒ ¬(P ∧…
Q: (b) Let x = 1e16 (a very large number). How big is the "gap" nextfloat(x)-x? (c) The "gap" at 1.0 is…
A: The nextfloat is the function used in the java's scanner package. The scanner is used to trim and…
Q: : a. [(a mod n) - (b mod n)] mod n = (a - b) mod n
A:
Q: Given the functions |log n if n even n' otherwise. f,(n) = f2(n) = min {5000 log n² ,m } > 20000 log…
A: option:ALets assume f1(n)=0f2n is correctcase 1: n is evenf1(n)=log nf2(n)=min5000log n2,n320000if…
Q: Find the smallest value of n such that f(x) is O(x^n) for each of the following. a) 3x^2-4x +12 b)…
A: 3x^2-4x +12 = 3x^2-4x = x^2-x = x^2 O(x^n) = x^2 n = 2 or 2 degree polynomial
Q: Please construct the truth table of the following, thank you. a) [p→q] ꓥ [~p→q] b) [~p↔~q] ↔ [p↔q]…
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Q: QUESTION 8 For X, y = 11, 2 x** y = 22 O 11*11 O 44 O square root of 11
A: Given x, y = 11, 2 x ** y = ? x ** y is the exponential operator means xy x = 11 y = 2 x ** y = 11…
Q: 3 + 7n + 3n? 4n + 3n3 + 2n2 5n - 2 log n 4 n log n + 6n - 5 log n x = 0; for (i = 1; i< 15; i++)…
A: Simple procedure to find BigO of any function or program: -find complexity(running steps) of each…
Q: What is the result of the Fast Modular Exponentiation Algorithm for a^b mod n, where a=3, b=360 and…
A: GIVEN: Calculate and find the result of the Fast Modular Exponentiation Algorithm for a^b mod n.…
Q: 4. Justify your answer p( a, b ). p( c, b ). p( X. Z) -- p( X, Y ), p( Y, Z). p( X, Y) -- p( Y, X ).…
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Q: x = 1002 and fl(x) = 1001. Show the relative error is roughly smaller than the condition number…
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Q: Max = N(1, 1): Min = N(1, 1) For I = 1 To 5 For J = 1 To 2 1-.......... 2-........ Next J, I
A: Given Code we have to find largest and smallest value in array size with 5 rows and 2 Column. In…
Q: 3. Use the definition of "big-O" notation to show that x3 +4.x2 + 2.x +6 is O(x³).
A: - The question we have to highlight how the given equations time complexity with the definition of…
Q: Homework 2 1. y = 3x* - 5x + 6x – 7 find z dy 2. Ify' - 3xy + x = 5, find d dr 'dr ' dx dx
A: dh/dx
Q: Examples: 3210 Wil 0010 0011 0100 0101 0011 0010 0001 1001 + old da o 1110 ✓ SF = ZF = PF = 0 CF =…
A: These are the different arithmetic flags used, it becomes set(1) or reset(0) depending upon the…
Q: This question concerns the field GF(256). The modulus is P(x) = x³ + x* + x³ + x + 1. For computing…
A: Here, I have to provide a solution to the above question.
Q: Wʜᴀᴛ ᴡᴀʏs ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ᴛʜᴀᴛ ᴄᴏᴍᴘᴜᴛᴇʀs ᴄᴏᴍᴍᴜɴɪᴄᴀᴛᴇ ᴡɪᴛʜ ᴏɴᴇ ᴀɴᴏᴛʜᴇʀ? 2. Iғ ʏᴏᴜ ᴋɴᴏᴡ ᴡʜᴀᴛ ɪs ᴀɴ…
A: Computers to communicate on many different levels and there is a great deal of variation between the…
Q: Complete the truth table of the following. ~p˄(p→q) (p→q)˄(q→r) [p˄(~q)]v[(~p)vq]
A: 1) Truth table of the first position: ~p˄(p→q) truth table is given below:
Q: Build a PDA recognizing B = {a"b"c°| p, n, m > 0; p#2m; n is even}.
A: (1)At state q0 we push a $ as an end marker to the top of the stack and reach state q1. (2)We move…
Q: Prove F (Vx)(A B) → (3x)A → (3x)B. Prove F (Vx)(A→ (B = C)) → ((vx)(A → B) = (Vx)(A → C).
A: Answer: I have given answer in the handwritten format
Q: lim(x 0) [V(x4 + 1)/(x² + 1)] Select one: а. 1 b. doesn't exist С. 1/2
A: As limit tends to infinity what is the output from the following
Q: 12 For which value of k, the following system is consistent? 2x-5ky+6z=0 kx+2y-2z=0 2x+2y-kz=0
A: A system of equations is said to be consistent if it has at least one solution. Consider the system…
Q: What are the dimensions of w1,w2,w3,b1,b2,b3 for the following NN? [1] ,[2] [1] X2 12] a a!" 1] a a…
A: According to the given diagram it is inspect that the dimensions are : w1 : 5 w2 : 4 w3 : 4 w4 : 3…
Q: What is the value of x in x3 - 3x 2 + x - 3 = 0
A: We can factor the equation to find out the value of x :-
Q: -x; OSXS: Y=log(x) : 0.15
A: X = 0:0.5:10; Y = exp(-X); plot(X,Y)
Q: Let L1 = {a^n b^m : n 2 m}. Let R1 = {{a U b)* : odd a's and even b's}. Make a pda
A: The answer is
Q: Q1: Given the following table: 1 1.5 2 3 3.5 f (x) | 0|0.17609 | 0.30103 | 0.4772 | 0.54407 A.…
A: A) Construct the table of Newton divided difference Computing divided differences using divided…
Q: 1. Prove the following 100n +5 = O(n) 1000n2 +100n -6 = O(n²)
A:
Q: Compare the order of growth of 1. 2^n and n! 2. log |n| and √n
A: Here in this question we have given two function and we have to compare their order of growth.so we…
Q: Problem 1. True or False? Justify your answer briefly. a. n 3 + 2n 2 ∈ ω(0.1n 3.1 + n) b. n log5 n…
A:
Q: Simplify ¬(w∨(n∧¬w)) to ¬w∧¬n
A: Given: ¬(w∨(n∧¬w))
Q: What is (5, 11) n (6, 15]? What is (5, 11) U (6, 15]?
A: ∩ it is intersection that means the common element of both the sets will come under this In (5,11)…
Q: l222: div bx push dx mov dx,0 mov ah,0 inc cx cmp ax,0 jne l222
A: Assembly level language is a low-level programming language, it's used to communicate directly with…
Q: For the following questions (c) and (d), assume n is a power of 2, i.e. n = 2k. for (cnt3 0, i for…
A: Find the time complexity using summations method
Q: (i) Compute P(¬a, b, ¬c, d) (ii) Compute P(a b, ¬d) (iii) Compute P (c | a, b, ¬d)
A: 1) P(-a, b, c, d) = P(-а) Р(b) Р(-c|-a, b) Р(dj-c) = (1 -0.8) * 0.3 * (1 – 0.7) * 0.6 = 0.2 * 0.3 *…
Log base 10 of x + log base 10 of x+3 =1
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- QUANTIFICATION True or False FOR ALL x, x is any integer: x^4 is greater or equal x.Write a program to compute reaction of steel cable (R) to temperature (T) using the following equation: R = 8.85 10-[1+ 6.5 10-3 (T - 237)]Python problem: Replace of the ten Xs in the simple sum shown below with a digit drawn without-replacement from the set of 10 digits [ 1,1,2,2,4,4,7,7,8,9 ] (the duplicates are intended) so that the sum is correct. Each digit is used exactly one time in each candidate replacement. X5XX + XXX3 = XX6XX Note There are 10! = 3,628,800 candidate permutations to check and 96 of the candidate permutations qualify as solutions. Of those 96 solutions, only 96 ÷ (2!×2!×2!×2!) = 6 are unique soultions. Sample Output: 4524 + 8173 = 12697 4574 + 8123 = 12697 8524 + 4173 = 12697 8524 + 9123 = 17647 8574 + 4123 = 12697 9524 + 8123 = 17647
- 6 7 8 9 10 ======= 11 12 13 14 15 16 17 18 19 20 21 22 XO la b 1 m Periodicity U 50 33 97 D XI E F G H I J L M N Use linear congruential generator approach to find Xi, what is the periodicity? Rename cells C4, C5, C6 and C7 as X0, a, b and m, respectively. RUDIMENTS OF RANDOM NUMBER GENERATION (1 OF 2) LINEAR CONGRUENTIAL GENERATORS (BYLEHMER 1951 A sequence of integers defined by the following recursive formula X = (ax +b) MOD m, 1 = 0, 1.... which means divide (ax, + b) by m, let X... be the remainder of this division a multiplier b increment m the modulus x0 seed or initial point 0 PFor each of the following program fragments: Give an analysis of the running time (Big-Oh). Justify your answer? A. public class GFG { // Linearly search x in att[]. if x is present then //return the index, otherwise return -1 static int search (int arr[], int n, intx) { int i; for (i = 0: i= = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.Overflows You have learned the concept of overflow (with say n! that overflows at 13! for integer) Now consider Fibonacci numbers this way: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. A Fibonacci sequence f(n) is of the form: f(1) = f(2) = 1, and f(n+2) = f(n) + f(n+1) for n >= 1. 6. Write a Java computer program that prints out Fibonacci numbers in a certain data type from f(1) until f(n) with n an integer you input from the keyboard. 7Plot the following function for -5 ≤ x ≤ 5: y = 1 1+x² The x-values can be generated with x = np.linspace (-5, 5, n), where n refers to the number of x-values generated (you pick a n-value).For all positive numbers aaand bbwith a>ba>b, ln(a−b)=ln(a)/ln(b)ln(a−b)=ln(a)/ln(b) True or falseRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education