Answer the Question $\mathrm { e } ^ { - 3 \mathrm { x } ^ { 2 } }$

question 110

Multiple Choice

Answer the question.
-Estimate the error if $\mathrm { e } ^ { - 3 \mathrm { x } ^ { 2 } }$ is approximated by $1 - 3 \mathrm { x } ^ { 2 } + \frac { 3 ^ { 2 } \mathrm { x } ^ { 4 } } { 2 ! }$ in the integral of $\int _ { 0 } ^ { 1 } \mathrm { e } ^ { - 3 \mathrm { x } ^ { 2 } } \mathrm { dx }$ .

• A) \(\frac { 3 ^ { 4 } } { 5 ( 2 ! ) ^ { 2 } }\)
• B) \(\frac { 3 ^ { 5 } } { 6 ( 3 ! ) }\)
• C) \(\frac { 3 ^ { 6 } } { 7 ( 3 ! ) }\)
• D) \(\frac { 3 ^ { 6 } } { 7 ( 3 ! ) ^ { 2 } }\)

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Definitions:

Light Sensor

A device that detects light and converts it into an electrical signal.

Proximity Sensor

A sensor that detects the presence or absence of an object or its distance from the sensor without physical contact.