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Popular >

f(s)=(e^{-2s})/(s^3-s^2)

Solution

f (s) = \frac{e ^{- 2 s}}{s ^{3} - s ^{2}}

Solution

Domain : s < 0 or 0 < s < 1 or s > 1

Range : f (s) \leq - \frac{7 17 + 31}{8 e ^{\frac{17 - 1}{2}}} or f (s) > 0

Intercepts : None

Asymptotes : Vertical s = 0, s = 1, Horizontal y = 0

Extreme Points : Maximum (\frac{- 1 - 17}{4}, \frac{- 31 + 7 17}{8 e ^{\frac{- 1 - 17}{2}}}), Maximum (\frac{- 1 + 17}{4}, - \frac{7 17 + 31}{8 e ^{\frac{17 - 1}{2}}})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 1) \cup (1, \infty)

Range : (- \infty, - \frac{7 17 + 31}{8 e ^{\frac{17 - 1}{2}}}] \cup (0, \infty)

Solution steps

Domain of

\frac{e ^{- 2 s}}{s ^{3} - s ^{2}} : s < 0 or 0 < s < 1 or s > 1

Range of

\frac{e ^{- 2 s}}{s ^{3} - s ^{2}} : f (s) \leq - \frac{7 17 + 31}{8 e ^{\frac{17 - 1}{2}}} or f (s) > 0

Axis interception points of

\frac{e ^{- 2 s}}{s ^{3} - s ^{2}} :

None

Asymptotes of

\frac{e ^{- 2 s}}{s ^{3} - s ^{2}} :

Vertical

: s = 0, s = 1,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{- 2 s}}{s ^{3} - s ^{2}} :

Maximum

(\frac{- 1 - 17}{4}, \frac{- 31 + 7 17}{8 e ^{\frac{- 1 - 17}{2}}}),

Maximum

(\frac{- 1 + 17}{4}, - \frac{7 17 + 31}{8 e ^{\frac{17 - 1}{2}}})

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Frequently Asked Questions (FAQ)

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