# List of functions used for infinitesimal approaching.
# An item in this list will be picked randomly at each exercise.
# Structure of item: multi-line.
# line 1 is function description.
# The rest is values for parameters c1, c2, etc.
# Different items are separated by lines starting with `:'.

:c1*t^3+(c2)*t^2+(c3)*t-c4
 3*(c1)*t^2+2*(c2)*t+(c3)
 0.1,0.3
 0.3,0.7
 -1,1
 0.5,1.5
:c1*t^3+(c2)*t^2+(c3)*t+c4
 3*(c1)*t^2+2*(c2)*t+(c3)
 0.1,0.3
 -0.3,-0.7
 -1,1
 0.5,1.5
:c1*(t+c2)*sin(c3*t+c4)+c5*t^2-c6*t
 c1*c3*(t+c2)*cos(c3*t+c4)+c1*sin(c3*t+c4)+2*c5*t-c6
 0.15,0.4
 -1.5,1.5
 1,2.5
 0,6.28
 0.2,0.5
 0.3,0.6
:c1*(t+c2)*sin(c3*t+c4)+c5*t^2-c6*t
 c1*c3*(t+c2)*cos(c3*t+c4)+c1*sin(c3*t+c4)+2*c5*t-c6
 0.15,0.4
 -1.5,1.5
 1,2.5
 0,6.28
 0.2,0.5
 0.3,0.6
:c1*(t+c2)*sin(c3*t+c4)+c5*t^2-c6*t
 c1*c3*(t+c2)*cos(c3*t+c4)+c1*sin(c3*t+c4)+2*c5*t-c6
 0.15,0.4
 -1.5,1.5
 1,2.5
 0,6.28
 0.2,0.5
 0.3,0.6
 