Determine the Percentage Rate of Change of F(t) = $\mathrm { e } ^ { - 0.09 \mathrm { t } ^ { 2 } }$

question 30

Multiple Choice

Determine the percentage rate of change of F(t) = $\mathrm { e } ^ { - 0.09 \mathrm { t } ^ { 2 } }$ at t = 1 and t = 5.

• A) \(\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) }\) = 18%, \(\frac { F ^ { \prime } ( 5 ) } { F ( 5 ) }\) = 90%
• B) \(\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) }\) = -18%, \(\frac { F ^ { \prime } ( 5 ) } { F ( 5 ) }\) = -90%
• C) \(\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) }\) = 19%, \(\frac { F ^ { \prime } ( 5 ) } { F ( 5 ) }\) = 70%
• D) \(\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) } = - 19 \% , \frac { F ^ { \prime } ( 5 ) } { F ( 5 ) } = - 70 \%\)

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