FIC MATLAB 2019-1/Aula-15

Aula em forma de relatório

format compact
clc
1/3
pi
factorial(52)
sym('factorial(52)')
who
whos
1/3
whos
sym('factorial(52) + 1')
sym('factorial(52)') + 1
sym('factorial(100)')
sym('factorial(200)')
whos
pi
sym('pi')
2 * sym('pi')
2^100
format long
2^100
format bank
2^100
sym('2^100')
2^1000
factorial(52)
format long eng
factorial(52)
format bank
factorial(52)
sym('factorial(52)')
expr1 = sym('x^2 + sin(x)')
expr1 * 2
expr2 = sym('a*x + b')
whos
expr1 / expr2
expr3 = expr1 / expr2
pretty(expr3)
latex(expr3)
syms x y z
x^2 + y
edit
expr4 = x^2 == sqrt(z)
whos
x = sym('x')
y = sym('y')
z = sym('z')
syms a b
expr5 = a^2 < sin(y)
expr2
subs(expr2, b, 17)
subs(expr2, b, a*z^2)
subs(expr2, {a, b}, {z, 17})
clear
syms x y z a b
expr1 = x*(x+1)
expr2 = expand(expr1)
factor(expr20
factor(expr2)
whos ans
prod(factor(expr2))
expr3 = sin(x)^2 + cos(x)^2
simplify(expr3)
doc simplify
expr5 = (x^2 + x)/(2*x)
pretty(expr5)
simplify(expr5)
simplify(expr5, 'Steps', 10)
simplify(expr5, 'Steps', 20)
simplify(expr5, 'Steps', 2)
whos
syms c
eq2grau = a*x^2 + b*c + c
eq2grau = a*x^2 + b*x + c
solve(eq2grau, x)
pretty(ans)
sin(0)/0
sin(0.00001)/0.00001
limit(sin(x)/x, x, 0)
(1 + 1/100)^100
(1 + 1/1000)^1000
limit((1 + 1/x)^x, x, inf)
limit(ln(x), x, 0)
limit(log(x), x, 0)
L = limit((1 + 1/x)^x, x, inf)
whos L
L = limit(sin(x)/x, x, 0)
whos L
diff(a*x^2 + sin(x), x)
diff(a*x^2 + sin(x), x, 2)
diff(a*x^2 + sin(x), x, 3)
diff(a*x^2 + sin(x), x, 103)
diff(a*x^2 + sin(x), x)
diff(a*x^2 + sin(x), a)
pretty(diff(a*x^2 + sin(x), x))
pretty(diff(a*x^2 + sin(x), x, 0))
int(x^3, x)
int(x^13, x)
int(x^-10, x)
int(x^-1, x)
int(x^a, x)
pretty(ans)
doc int
int(x^2, x, 1, f)
int(x^2, x, 1, b)
assume(a > 0)
assumptions(a)
int(x^a, x)
assume(a)
assumptions(a)
doc assume
assume(a, 'clear')
assumptions(a)
int(x^a, x)
assume(a>0)
assumptions(a)
clear a
a
syms a
a
assumptions(a)
assume(a>0)
assume(a>1)
assumptions(a)
assume(a<1 & a>0)
assumptions(a)
assume(a, 'clear')
assumptions(a)
syms n
assume(n, 'integer')
cos(2*pi*n)
simplify(cos(2*pi*n))
simplify(cos(2*pi*x))
expr = x^2 / (x^3 - 3 * x + 2)
partfrac(expr, x)
pretty(ans)
syms r
symsum(r^n, n, 0, inf)
pretty(ans)
taylor(exp(x), x, 'Order', 5)
taylor(exp(x), x, 'Order', 10)
taylor(exp(x), x, 'Order', 20)
lookfor ode
lookfor differential
syms a x(t)
dsolve(diff(x) == -a*x)
whos
pi
whos
expr = symprod(x+n, n, 0, 1000)
whos
syms x
expr = symprod(x+n, n, 0, 1000)
whos
edit sym
clc
clear
A = [3 0 -1 0; 8 0 0 -2; 0 2 -2 -1;1 1 1 1]
A = [3 0 -1 0; 8 0 0 -2; 0 2 -2 -1; 1 1 1 1]
format
A = [3 0 -1 0; 8 0 0 -2; 0 2 -2 -1; 1 1 1 1]
format compact
b = [0; 0 0; 1]
b = [0; 0; 0; 1]
v = A \ b
format rat
v