(a) Giving C and k constants, determine the big-theta for the function:f(x) = 9x4 − x³ +5x+2+(-13 + 9x³ - 7x)log(8x6 + 5x³ + 9x² + 11x + 3)-

Detailed explanation:Step 1: The original functionThe function is:…

Answered: (a) Giving C and k constants, determine…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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2. Generate truth table for the following functions:(a) F(X,Y,Z)=∑(1,3,6,7)(b) F(X,Y,Z)=π(1,3,4)(c) F(W,X,Y,Z)=∑(1,4,7,10,12,15)(d) F(W,X,Y,Z)=π(2,3,4,7,10,11,12,13)
Express the complement of the following functions in sum of min-terms:(a) F(A, B, C, D) = P(0, 2, 6, 11, 13, 14) (b) F(x, y, z) = Q(0, 3, 6, 7)
6. Obtain the truth table of the following function and express the function in sum of- minterms and product of maxterms form: F = (xy+z)(y+xz)
Q1 Find the minimum sum-of-products expression for each function (d denotes don't care terms specified in parentheses). (a) f(a,b,c,d) = Σm(0,2,3,4,7,8,14) (b) f(a,b,c,d) = Σm(1,2,4,15) + Σd(0,3,14)
Q3 A: Simplify the following Boolean functions, using Karnaugh maps: F (xy, z) Σ (0,1,4,5)
1] Minimize the following boolean function- F(A, B, C, D) = Σm(0, 1, 3, 5, 7, 8, 9, 11, 13, 15)
(b) Another series expression for π, less well-known and discovered by Nikalantha (around 1500), is 4 4 4 4 + 2 × 3 × 4 4 × 5 × 6 6×7×8 8 × 9 × 10 T=3 + = 3 + 4(−1)²+¹ 2i (2i + 1)(2i + 2) +... Write a function pi_nik(n) which takes as an input an integer n and returns an approximation of , b evaluating this formula with n terms. (For n=3 your function should return 3.1333333....)
b. Simplify the Boolean function F(A,B,C,D)= N (0,1,2,5,6,8,11,13,14) expressed using K-map as follows: (3 Marks) Your solution should contain: Truth table, K-map and simplified expression.
2 Find the complement of the function F = x (y'z + yz)
Can you express the complement of the following functions in sum-of minterms form:
Graph the following functions and determine whether the functions are even, odd or neither: (a) y = sin x (b) y = sec x
Computer Science f(x)= Sin(x) – x 3 + C Where C = Max [0.15, (69/100)] x20, (x is in radian). Apply the false position method three iterations to find the root of the function (Decide the starting values of Xl and Xu yourself)

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(a) Giving C and k constants, determine the big-theta for the function: f(x) = 9x4 − x³ +5x+2+(-13 + 9x³ - 7x)log(8x6 + 5x³ + 9x² + 11x + 3) -