3221.sagews

8-22-9

-23

8-(22-9)

-5

n(23/5)

4.60000000000000

n(sin(pi/4))

0.707106781186548

a,b,c,x,y,P,g=var('a,b,c,x,y,P,g')

a=8

b=1992

c=19

y=a*x^b+c

y

8*x^1992 + 19

derivative(y)

15936*x^1991

derivative(derivative(y))

31728576*x^1990

P=plot(y, (-12,12))

verbose 0 (4075: plot.py, generate_plot_points) WARNING: When plotting, failed to evaluate function at 176 points. verbose 0 (4075: plot.py, generate_plot_points) Last error message: ''

P

reset('y')

y=var('y')

g=x*y+x+1

diff(g,x)

y + 1

diff(g,y)

x

W=plot3d(g, (-3,3), (-3,3))

W

reset=('y')

y,z,u,v,w=var('y,z,u,v,w')

solve([3*x+y+z== 1, 3*x+2*y-z== 0, 4*x+5*y+3*z== 4], x, y, z)

[[x == (-1/27), y == (11/27), z == (19/27)]]

solve([3*x+y==1, 6*x+2*y== 2], x,y)

[[x == -1/3*r3 + 1/3, y == r3]]

v=vector([2,4,5,6,2,1])

u=vector([4,7,2,8,9,-3])

w=4*v+8*u

w

(40, 72, 36, 88, 80, -20)