indet1:  script to determine an approximation of F(x) knowing an approximation of x.  At the beginning  F(x) = x·sin(x³) is calculated.

```function F(x) { with(Math) {
y = x*sin(pow(x,3)
return y
}}
```

If x = 2 ± 0.05, what is the value of F(x)?  With "click1" I have a quick evaluation. With "click2" I have a better evaluation. F(x) = 1.74 ± 0.26. indet2:  script to determine an approximation of F(x,y) knowing approximations of x and y.  At the beginning  F(x,y) = log(x+y)·√(x-y) is calculated.

```function F(x,y) { with(Math) {
u = log(x+y)*sqrt(x-y)
return u
}}
```

If x = 5 ± 0.5, y = 3 ± 0.5, what is the value of F(x,y)? F(x,y) = 2.84 ± 0.76.

 • indet3:  script to determine an approximation of F(x,y,z) knowing approximations of x, y and z.  At the beginning  F(x,y,z) = x·y·sin(z·π/180) is calculated. ```function F(x,y,z) { with(Math) { u = x*y*sin(z*PI/180) return u }} ``` If x = 9.80 ± 0.02, y = 0.3 ± 0.006, z = 30 ± 1, what is the value of F(x,y,z)?  F(x,y,z) = 1.471 ± 0.077, or 1.47 ± 0.08  (? is about half of 0.3 kg, as we would have expected, taking into account the width of the angle).

indet4:  script to determine an approximation of F(x,y,z,w) knowing approximations of x, y, z, w.  At the beginning  F(x,y,z,w) = (x-y)/(z+w) is calculated.

 ``` -5 -7 6.740·10 - 8.7·10 ———————————————————— 3 2.672·10 + 5.8```
```function F(x,y,z,w) { with(Math) {
u = (x-y)/(z+w)
return u
}}
``` F(x,y,z,w) = (2.4845 ± 0.0009)·10−8

indet5 and indet6:  scripts to determine an approximation of the length and an approximation of the direction of the sum of two vectors knowing approximations of these ones An example of use, if a vector is of length 20±0.5 and direction (30±0.5)° and the second vector is of length 12±0.5 and direction (50±0.5)°.

indet5: indet6: The sum has length 31.55 ± 1.02, or 31.5 ± 1.1, and direction (37.47 ± 0.80)°, or (37.5 ± 0.9)°.

What is F in indet5:
function F(x,y,z,w) { with(Math) {
u = sqrt( pow(cos(x*PI/180)*z+cos(y*PI/180)*w,2) + pow(sin(x*PI/180)*z+sin(y*PI/180)*w,2) )
return u
}}

What is F in indet6:
function F(x,y,z,w) { with(Math) {
u = atan( (sin(x*PI/180)*z+sin(y*PI/180)*w) / (cos(x*PI/180)*z+cos(y*PI/180)*w) )*180/PI
return u
}}