HP35 ERRATA SHEET:
Exponential functions
1. This situation involves the use of certain numbers,
which, when used as the value of "x" in e^x, cause that
function to give answers that are off by a maximum of one
percent.
The numbers are 0.7030975114 and 0.995033085 x 10E-2,
or integer multiples of the latter number through nine,
by itself, or when added to the former. These numbers
are correct when used by themselves or derived as answers
to expressions such as ln 2.02 (ln 2.02 = 0.7030975114).
The idiosyncrasy is in the e^x function, not the
logarithmic function.
Additionally, since x^y = e^(ylnx), when ylnx equals one of
the numbers above, then x^y will also be off slightly
less than one percent.
To achieve a very good approximation of the proper operation
with these numbers, you can simply leave off the last digit of
the number to be used as "x" in e^x or x^y.
2. In e^x, when x=(-2291.072168 +/- 11.512924) x 10^J
(J can equal 0 through 96), the HP-35 will indicate overflow
(9.999999999x10E99) when it should indicate underflow (0).
The numbers mentioned above are beyond the dynamic range of
the calculator.
Trigonometric functions
1. The HP-35 gives the following answers:
arc sine 0.0002 = 5.729577893 x 10E-3
arc cosine 0.0002 = 89.99427042
arc tangent 0.0002 = 5.729577893 x 10E-3
The correct answers are:
arc sine 0.0002 = 0.01145916
arc cosine 0.0002 = 89.98854
arc tangent 0.0002 = 0.01145916
2. The HP-35 gives the arc tangent of 1.00020002 as 45;
the correct answer is 45.00573. This represents an
error of aproximately one-hundredth of one percent.
3. There is a deviation of approximately one one-hundredth
of a percent in the arc sine and arc cosine of these numbers
(arc tangent is correct):
0.7071774882 0.7071774884
0.7071774883 0.7071774885
The HP-35 gives 45 for the arc sine and cosine of these
numbers; the arc sine should be approximately 45.005730,
and the arc cosine should be approximately 44.994270.
We are confident that this list represents the range
of errors in the calculator.
Hewlett-Packard Advanced Products