90%4.1 The Maclaurin serles expansion for cos x isCOS X = 1-+.4!2618!Starting with the simplest version, cos x =time to estimate cos(r/3). After each new term is added, computethe true and approximate percent relative errors. Use your pocketcalculator to determine the true value. Add terms until the absolutevalue of the approximate error estimate falls below an erTor crite-rion conforming to two significant figures.1, add termns one at aMATLAB HW.Q1) Find y if x=0.5.y = (log10(x))²xQ2) Show that: The right side of the following equation is equal to the left side, by choosing anyvalue of x.27°CDELL 90%Q1) Find y if x=0.5.y= (log10(x))*Q2) Show that: The right side of the following equation is equal to the left side, by choosing anyvalue of x.tan x + sln xcos22 tan xQ3) Plot 2*cos(t) and 5*cos(t), where t starts from 0 to 3x, use grid, label x-axis and y-axis, showthe title as your university number. ( your result should exactly match with my result below).My university number2cos(t)45cos(t)27°CDELL

4.1 The Maclaurin series expansion for cos x is gt COS X = 1 4! 61 81 Starting with the simplest version, cos x = 1, add terms one at time to estimate cos(7/3). After each new term is added, comput the true and approximate percent relative errors. Use your pocke calculator to determine the true value. Add terms until the absolut value of the approximate error estimate falls below an error crite rion conforming to two significant figures.

4.1 The Maclaurin series expansion for cos x is gt COS X = 1 4! 61 81 Starting with the simplest version, cos x = 1, add terms one at time to estimate cos(7/3). After each new term is added, comput the true and approximate percent relative errors. Use your pocke calculator to determine the true value. Add terms until the absolut value of the approximate error estimate falls below an error crite rion conforming to two significant figures.

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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Starting from 2021, the square roots of 100 integers are calculated.The 2 digits after the comma of the results found are kept and the remaining decimal part is discarded. ( For exampleThe number 3.316624 is taken as 3.31.) The obtained results are summed and the number A is found.Starting from 2021, the square roots of 100 integers are calculated.The 3 digits after the comma of the results found are kept and the remaining decimal part is discarded. ( For exampleThe number 3,316624 is taken as 3,316.) The obtained results are added and the number B is found.What is the difference in thousandths between B and A?
Proc network allow us to define the convergence tolerance for the PageRank algorithm. This value must be a positive number. The default is 1E-9. The PageRank algorithm stops iterating when the difference between the PageRank score of the current iteration and the previous iteration is less than or equal to the tolerance defined. To define the convergence tolerance, we can use the option PAGERANKTOLERANCE=. Write The code to shows how to compute the PageRank centrality using proc network based on a directed graph using unweighted links.
Wo Home I(O noPHP) I Homework 10 Q2 Q1 Q3 L Q4 Q5 Q6 (a) Q7 Q8 Q9 Q10 (x = L, y = 0) |(x = 0, y = 0) (b) A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 5, L= 6.27 m, E = 73000 kN/cm2, I=38000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 15 bisection iteration? wo -(-æ³ +2L²x³ – L^x) 120EIL dy de wo (-5xª + 6L²x² – Lª) 120EIL Choices 2.5236 1.402 2.804 4.206 Submit I Attempts 1 |
Zone, N = (sum of digits of your student id)% 8 For example, if your student id is 17301283,zone = (1+7+3+0+1+2+8+3) % 8 = 25 % 8 = 1 Derive midpoint line drawing algorithm for a line in zone N. If you find zone 0, i.e., then drop the last digit from sum and take % 8 again.If your student id is 16240524, zone = (1+6+2+4+0+5+2+4)%8 = 24%8 = 0Updated zone by removing last digit 4 = (1+6+2+4+0+5+2)%8 =20%8 = 4 Derive midpoint circle drawing algorithm for the arc of the circle in zone N. If you find zone 1, i.e., then drop the last digit from sum and take % 8 again.If your student id is 17301283, zone = (1+7+3+0+1+2+8+3)%8 = 25%8= 1Updated zone by removing last digit 3 = (1+7+3+0+1+2+8)%8 = 22%8= 6
What value is returned by the following function? Express your answer as a function of n. Give the worst-case running time using the Big-Oh notation.
A porous membrane having a width of 1cm, contains A at a concentration of 0.5 kmol/m³. One side of the membrane is suddenly exposed to gas and concentration of A at this side is increased to 2 kmol/m³. Calculate the concentration values by finite differences method using computer programing and below data. Calculate the time it takes for the concentration of A to be 2 kmol/m3 everywhere in the membrane. Ox=0.0025m (5 space) Ot=0.01s DAB=2.5*10-4 m²/s
Let L10 = (a^bmcki k = n + m and n,m,k2 0}. Design a %3D CFG to generate L10.Then design a PDA to generate L10. This can be based on your CFG using the method described in the book, but does not have to be.
Instrument FrequencyCounter to use Stopwatch and StdDraw to make a plot where the x-axis is the number of calls on get() or put() and the y-axis is the total running time, with a point plotted of the cumulative time after each call. Run your program for Tale of Two Cities using SequentialSearchST and again using BinarySearchST and discuss the results. Note : Sharp jumps in the curve may be explained by caching, which is beyond the scope of this question.
SUCCESSIVE-OVER-RELAXATION Method TROUBLESHOOTING: Fix the errors in the code below and run the script with your modified code and screenshot your output and codes with answer function [x,numIter,omega] = gaussSeidel(func,x,maxIter,epsilon) % Solves Ax = b by Gauss-Seidel method with relaxation. % USAGE: [x,numIter,omega] = gaussSeidel(func,x,maxIter,epsilon) % INPUT: % func = handle of function that returns improved x using % x = starting solution vector % maxIter = allowable number of iterations (default is 500) % epsilon = error tolerance (default is 1.0e-9) % OUTPUT: % x = solution vector % numIter = number of iterations carried out % omega = computed relaxation factor if nargin < 4; epsilon = 1.0e-9; end if nargin < 3; maxIter = 500; end k = 10; p = 1; omega = 1; for numIter = 1:maxIter xOld = x; x = feval(func,x,omega); dx = sqrt(dot(x - xOld,x - xOld)); if dx < epsilon; return; end if numIter == k; dx1 = dx; end if numIter == k + p omega = 2/(1 + sqrt(1 -…
A matrix's trace is equal to its trace transposed. The diag method of Numpy may be used to extract the elements along the diagonal of a square matrix. Retrieving data from diagonals above or below the primary diagonal is possible using the optional parameter k. The call trace, just like in Python programming, may be used to get a matrix's trace.
Execute the following codes: import numpy as np mean = [0,0] cov = [[1,-0.6],[-0.6,7]] x,y = np.random.multivariate_normal(mean,cov,500).T Save x and y using save method to your computer. Read them and calculate the correlation coefficient matrix. Make a 2-dimensional scatter plot of x and y. Do the straight line fit to y vs x.
We can specify the PageRank algorithm's convergence threshold using proc networks. This figure has to be positive. Default value is 1E-9. When the difference between the PageRank scores of the current iteration and the previous iteration is less than or equal to the tolerance set, the PageRank algorithm ceases iterating. We can use the PAGERANKTOLERANCE= parameter to specify the convergence tolerance. Write The example code demonstrates how to calculate PageRank centrality using a proc network built on a directed graph with unweighted links.