The function f is continuous on the interval (0,9) and is twice differentiable except at x = 6, where the derivatives do not exi
st (DNE). Information about the first and second derivatives of f for some values of x in the interval (0,9) is given in the table above. Which of the following statements could be false?
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If a number's ten digit is and the units digit is
, then you can write the number as
.
Obviously, inverting the digits would lead to the number .
Since this new number is 36 less than the original, we have
Since we also know that the digit in the tens place is three times that in the units place, we can add an equation to form a system:
And thus