1. (a) Use a for-loop to create arrays x2 and y2 with N+1 unequally spaced points according to the formula x2 = y2 = -cos(pi*(k-1)/N)*2*pi, where N=200, k=1,2..,N+1 clear; clc; close all; b) (i)use the meshgrid function on x2 and y2 to create arrays x and y that have the dimensions (N+1) x (N+1) (ii) Preallocate an array z(n,m) where [n,m] = size(x)

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
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Please answer in matlab code.

1. (a) Use a for-loop to create arrays x2 and y2 with N+1 unequally spaced points according to the formula x2 = y2 = -cos(pi*(k-1)/N)*2*pi, where N=200,
k=1,2...,N+1
clear; clc; close all;
b)
(i)use the meshgrid function on x2 and y2 to create arrays x and y that have the dimensions (N+1) x (N+1)
(ii) Preallocate an array z(n,m) where [n,m] = size(x)
Transcribed Image Text:1. (a) Use a for-loop to create arrays x2 and y2 with N+1 unequally spaced points according to the formula x2 = y2 = -cos(pi*(k-1)/N)*2*pi, where N=200, k=1,2...,N+1 clear; clc; close all; b) (i)use the meshgrid function on x2 and y2 to create arrays x and y that have the dimensions (N+1) x (N+1) (ii) Preallocate an array z(n,m) where [n,m] = size(x)
(iii) Use a nested for-loop and an if-else structure to create an array z according to the formulas:
for x < 0, z = 2 + sin(x)*sin(2*y) and
for x >= 0, z = (2 + sin(x)*sin(2*y)*exp(-0.1*x)
(c) Use the surfc function to plot the surface z.
(i) Set the axis limits so that
-n < x < n , and
-n < y< T, and 0 < z < zlim: Here zlimshould be the maximum value of z rounded up to the nearest integer. (Hint:
use the ceil function).
(iii) Your plot should have a title (18 point), axis labels (14 pt), a color bar and an azimuthal angle of +60 degrees and an elevation angle of +30
Transcribed Image Text:(iii) Use a nested for-loop and an if-else structure to create an array z according to the formulas: for x < 0, z = 2 + sin(x)*sin(2*y) and for x >= 0, z = (2 + sin(x)*sin(2*y)*exp(-0.1*x) (c) Use the surfc function to plot the surface z. (i) Set the axis limits so that -n < x < n , and -n < y< T, and 0 < z < zlim: Here zlimshould be the maximum value of z rounded up to the nearest integer. (Hint: use the ceil function). (iii) Your plot should have a title (18 point), axis labels (14 pt), a color bar and an azimuthal angle of +60 degrees and an elevation angle of +30
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