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)…
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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.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 = 17647Write 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)]
- 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.Plot 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 falseOverflows 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. 7Recommended 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