From 2d32f6d31992b3ed72246ba52c568d88a2cc52ab Mon Sep 17 00:00:00 2001
From: Anna Karatkiewicz <karann2@st.amu.edu.pl>
Date: Thu, 23 Nov 2017 12:50:49 +0100
Subject: [PATCH] ZADANIA 07

---
 07/ZADANIA07.txt | 38 ++++++++++++++++++++++++++++++++++++++
 1 file changed, 38 insertions(+)
 create mode 100644 07/ZADANIA07.txt

diff --git a/07/ZADANIA07.txt b/07/ZADANIA07.txt
new file mode 100644
index 0000000..bf2d288
--- /dev/null
+++ b/07/ZADANIA07.txt
@@ -0,0 +1,38 @@
+1)
+x=var('x')
+solve (x^6-9*x^5+10*x^4+18*x^3+49*x^2+135*x+84==0,x)
+2)
+x=var('x')
+solve (x^3-5* x^2+8* x-40==0, x)
+3)
+x=var('x')
+solve(cos(x)==x,x)
+find_root(cos(x)==x,0,pi)
+4)
+integral(x*sin(x),x)
+-x*cos(x) + sin(x)
+5)
+integral(e^(1/(x^2)),x,-2,4)
+
+6)
+diff(sqrt(x^2*sin(x+2)),x)
+7)
+diff((x*e^(cos(x)))^(3),x)
+8)
+x,y=var('x,y')
+f=x^2+sin(x*y)-y
+f.diff(y)
+
+9)
+A=matrix([[1,-4,7],[14,6,8],[-4,-1,2]]);A
+B=matrix([[2,3,9],[-1,17,6],[0,5,-7]]);B
+A*B
+10)
+A.determinant()
+11)
+B^(-1)
+12)
+x=var('x')
+u=function('u')(x)
+show(desolve(diff(u,x,2)-x*diff(u,x)+u==0,u,contrib_ode=True,show_method=True))
+