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GNU Emacs Calc 2.02 Manual

3.7.39 Types Tutorial Exercise 7

The relative errors must be converted to absolute errors so that `+/-' notation may be used.

1: 1. 2: 1. . 1: 0.2 . 20 RET .05 * 4 RET .05 *

Now we simply chug through the formula.

1: 19.7392088022 1: 394.78 +/- 19.739 1: 6316.5 +/- 706.21 . . . 2 P 2 ^ * 20 p 1 * 4 p .2 RET 2 ^ *

It turns out the v u command will unpack an error form as well as a vector. This saves us some retyping of numbers.

3: 6316.5 +/- 706.21 2: 6316.5 +/- 706.21 2: 6316.5 1: 0.1118 1: 706.21 . . RET v u TAB /

Thus the volume is 6316 cubic centimeters, within about 11 percent.