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Questions and Answers
Qual es le valore de $e^{0.5}$?
Qual es le valore de $e^{1}$?
2.7183
Le valore de $e^{0.1}$ es plus grande que 1.
False
Le valore de $e^{2}$ es __________.
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Qual es le valore de $e^{0}$?
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Qual es le valore de $e^{10}$?
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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!
