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clear all; close all; clc
%% Questão 1
x = -2:0.001:2;
f = sqrt(1 - (abs(x) - 1).^2);
g = acos(1 - abs(x)) - pi;
figure
plot(x,f,'hr', x,g,'hr', 'LineWidth',4)
%% Questão 2
x = linspace(-4,4,1000);
f = x.^2 + x - 2;
figure
plot(x,f)
grid on
hold on
stem([-2 1],[0 0])
%% Questão 3
t = linspace(1,3,1000);
T = 3 * log(2*t) - 5*exp(0.5*t);
figure
plot(t,T)
title('Temperatura')
xlabel('Tempo [minutos]')
ylabel('° C')
%% Questão 4
x = linspace(0,2,1000);
u = 100*log10(60*x + 1);
v = 50*cos(6*x) .* sin(2*x) + 150*x;
figure
plot(x,u,'y','LineWidth',4)
hold on
plot(x,v,'Color',[0.952941179275513 0.87058824300766 0.733333349227905],'LineWidth',4)
legend('Ferrari','Fusca')
title('Alta velocidade é perigoso')
ylabel('km/h')
%% Questão 5
x1 = linspace(0,2*pi,100);
x2 = linspace(pi,3*pi,100);
figure
stem(x1,cos(x1))
hold on
stem(x2,0.5*sin(x2))
%% Questão 6
figure
x = linspace(-pi,pi,2000);
f = sign(x);
N = [1:5:100 100:-5:1];
for ii = 1:length(N)
n = 1:2:N(ii);
g = (4/pi) * sum(sin(n' * x) ./ (n' * ones(size(x))));
plot(x,f)
hold on
plot(x,g)
hold off
legend('f(x)','g(x)')
pause(0.005)
end
%% Questão 7
t1 = linspace(1,63,100);
t2 = linspace(63,80,100);
t3 = linspace(81,100,100);
t4 = linspace(101,120,100);
figure
subplot(2,1,1)
plot(t1,sin(2*pi*t1/63),'b',t2,zeros(size(t2)),'b',t3,ones(size(t3)),'b',t4,-ones(size(t4)),'b')
title('Versão 1')
xlabel('Tempo [s]')
ylabel('Tensão [v]')
grid minor
ylim([-1.1 1.1])
subplot(2,1,2)
plot(t1,sin(2*pi*t1/63),'b',t2,zeros(size(t2)),'b',[80 81],[0 1],'b',t3,ones(size(t3)),'b',[100 101],[1 -1],'b',t4,-ones(size(t4)),'b')
title('Versão 2')
xlabel('Tempo [s]')
ylabel('Tensão [v]')
grid minor
ylim([-1.1 1.1])
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