Question

  
Matlab MATH 210 in 2020 Homework Assignment 8- Due 3/25, 11:59PM Each plot should have its own figure associated with it. In all questions, give the figure a title, and label the acis. Save your matlab script as drill 10.m Do not use the fplot command. 1. Plot the function f(x) = (x + 5)2 for -5 <<<10. Include a plot title, and label both aris. 2. Use the subplot command to make two plots of the function f(x) = (x + 1)(x - 2)(2. – 0.25) - €. one graph for 0 <3 and the other for 3 <2<6. Use a logarithmic scale for the y-aris. Include a plot title (for each subplot), and label both aris for each subplot). 3. A parametric equation is given by 37 373 I = 1 + 13: Y= 1+ 13 Note that the and y values go to infinity with t = -1. On the same graph (no subplot), create two r-y-plots, one for -30<t< -1.6, the other for -0.4 <ts 30. Include a plot title, and label both aris. 4. Plot the function f(x) = cos (2) sin (2.c) and its derivative for " <r <a on the same graph. Use a solid line for the function, and a dashed line for the derivative. Include a legend. 5. The position as a function of time of a squirrel running around is given in polar coordinates by: r(t) = 20 + 30(1 – e-0.16), 0(t) = (1 - -0.21)
MATLAB SCRIPT PLEASE

Answer 1

CODE:

clc close all % 1 & 2) x = -5:0.1:10; f = ((x+5).^2)./ (4+3* (x.^2)); figure (1) plot(x, f); title('f(x)') xlabel('x'); ylabel('f') % 2) x1 = 0:0.1:3; fl = (x1+1).* (x1-2).* (2*xl-0.25) -exp (xl); figure (2) subplot (2,1,1) plot (xl, fl) set (gca, 'YScale', 'log') title('f(x)') xlabel('x'); ylabel('f') x2 = 3:0.1:6; f2 = (x2+1).* (x2-2).* (2*x2-0.25) -exp (x2); subplot (2,1,2) plot (x2, f2) set (gca, 'YScale', 'log') title('f(x)') xlabel('x'); ylabel('f')

REsult:

- O X Figure 1 File Edit View Insert Tools Desktop Window Help 0803A @ OA @ OE OO f(x)

- 0 X Figure 2 File Edit View Insert Tools Desktop Window Help Qabah @ @ 2. 2 I 3 - 0 2.92 2.94 2.96 2.98 3 3.02 f(x) 1 3 3.5 4 4.5 5 5.5

CODE:

clc close all % 3) & 4) t= -30:0.1:-1.6; x = (3*t)./(1+(t.^3)); y = (3* (t.^3)./ (1+(t.^3)); plot (x,y, 'Linewidth',2) hold on t= -0.4:0.1:30; x = (3*t)./ (1+(t.^3)); y = (3* (t.^3))./(1+(t.^3)); plot (x, y, 'Linewidth', 2) grid on xlabel('x') ylabel('y') title('Parametric equations') % 4) syms x f = cos(x).* (sin (2*x)); df = diff(f,x); x = [-pi pi]; figure (2) ezplot (f,x) hold on ezplot (df,x) legend('f','d')

Result:

MATLAB R2016b - O X Figure 1 File Edit View su Insert Tools Desktop Window Help ok. 2 O E O Parametric equations -1.5 -1 -0.5 0 0.5 1 1 .5 2

- 0 x Figure 2 File Edit View Insert Tools Desktop Window Help SĄ OSO E 2 cos(2 x) cos(x) - sin(2 x) sin(x) 1 -2 -1 0 1 2 3