Solve the Problem $\left| \mathrm { E } _ { \mathrm { T } } \right|$

question 455

Multiple Choice

Solve the problem.
-Find an upper bound for $\left| \mathrm { E } _ { \mathrm { T } } \right|$ in estimating $\int _ { 1 } ^ { 5 } \left( 3 \mathrm { x } ^ { 2 } + 8 \right) \mathrm { dx }$ with $\mathrm { n } = 6$ steps.

• A) \(\frac { 125 } { 72 }\)
• B) \(\frac { 8 } { 9 }\)
• C) \(\frac { 4 } { 9 }\)
• D) \(\frac { 4 } { 27 }\)

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Definitions:

Magnetic Polarity

Refers to the orientation of the magnetic poles in a magnet, determining the direction of the magnetic field's flow.

Electromagnet

A type of magnet where the magnetic field is produced by an electric current, typically involving a wire coil.

Volts-per-turn Principle

The volts-per-turn principle relates to the design of electromagnetic coils, stating that the induced voltage in a coil is proportional to the rate of change of magnetic flux linkage per turn of the coil.

Electro-magnetic Induction

A phenomenon where an electric current is induced in a conductor when it is exposed to a changing magnetic field.