Functiónes Exponencial 10th Class
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Questions and Answers

Qual es le valore de $e^{0.5}$?

  • 0.9802
  • 0.9608
  • 0.9512 (correct)
  • 0.9704

Qual es le valore de $e^{1}$?

2.7183

Le valore de $e^{0.1}$ es plus grande que 1.

False (B)

Le valore de $e^{2}$ es __________.

<p>0.13534</p> Signup and view all the answers

Qual es le valore de $e^{0}$?

<p>1.0000 (B)</p> Signup and view all the answers

Qual es le valore de $e^{10}$?

<p>0.000045</p> Signup and view all the answers

Study Notes

Functciones Exponential

  • Valore de $e^\lambda$ diminui quand $\lambda$ es in le intervallo $0 < \lambda < 1$.
  • Quando $\lambda$ es 0, $e^\lambda$ es sempre 1.0000.
  • $e^\lambda$ rapidemente decresce con valores de $\lambda$ incrementante:
    • Des del $0.1$ ($0.9900$) hasta $0.9$ ($0.9139$), $e^\lambda$ continua a diminuir.
  • A 1, $e^1$ es $0.8958$, indicate un significant decremento.
  • Continua a decrescer a $2$ ($0.8869$), $3$ ($0.8781$), e $4$ ($0.8694$).

Comportamento de $e^\lambda$

  • Le funtion $e^\lambda$ continua a decrescer cun valores plus alte de $\lambda$:
    • A $\lambda = 10$, $e^{10}$ resulta in $0.8187$, e in $0.1$ es $0.8106$.
  • Qualitas de $e^\lambda$ se stabilisa sub $0.5$, con valores successive continuando a diminuer.

Notas Additionale

  • Existe un maximo decremento de $e^\lambda$ quando $\lambda$ es plus grande, ulteriore sub $0.1$ e descendente.
  • In le range $0 < \lambda < 10$, $e^\lambda$ denota valores significantemente inferiores quando $\lambda$ incrementa.
  • Resultatos in $10$ resultante in valores minime primarimente a valores contingentemente negative, pro exemplo, a $10$, valores deveni $0.4584$.

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Description

In this quiz, students will explore values of the exponential function for different lambda values between 0 and 1. The data table provides crucial insights into the behavior of the function as lambda varies. Test your understanding and ability to work with exponential functions!

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