Answered

At the beginning of unit 10, information was introduced about the significance of e. which of the following statements is not true regarding ?
a. The number e is equal to about 2.718
b. The number e is called the "natural" exponential because it arises naturally in math and science
c. The number e is considered a special irrational number in mathematics
d. The number e is another way to express the number π



Answer :

sqdancefan

Answer:

  d. The number e is another way to express the number π

Step-by-step explanation:

You want to know the false statement among those offered.

a. 2.718

The first few digits of the irrational number e are 2.718281828459045...

(true)

b. Natural

Leonard Euler identified e as the value of 1 compounded continuously at an annual rate of 100%. More than 100 years earlier, John Napier computed and published tables of the logarithms of trig functions. The base was related to e, but he didn't call it that (or even know its value).

(true)

c. Special

The value e is sufficiently "special" that most scientific calculators have a button for it. It shows up in many formulas, especially those related to growth, decay, and logarithms.

(true)

d. Pi

Some expressions involving both e and π can make it look like there might be a relation.

In complex numbers, Euler's identity e^(iπ)+1 = 0 involves both irrational numbers. However, there is no known algebraic relationship between π and e.

(false)

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