Practice Problems for 3/20
- Use an appropriate linearization to approximate the value of \(f(x)\) for \(x=1.1,1.23\) and 1.38 using the information in the table below.
| x |
f(x) |
f'(x) |
| 1 |
0.7854 |
.5 |
| 1.2 |
0.8761 |
.4098 |
| 1.4 |
0.9505 |
.3378 |
- A tracking telescope located 3000 meteres from the launch platform is begin used to track a small rocket. Two seconds after the launch, the angle of inclination of the rocket is measured to be 1.117 radians, with a possible error of \(\pm .0349\) radians (which is \(2^{\circ}\), fyi). How high is the rocket and what is the possible error in this calculated height? (Use radians in your calculations and round at least to three decimals to the right of the decimal point.)