Find the Length of the Curve for the Interval $1 \leq x \leq 4$

question 20

Multiple Choice

Find the length of the curve for the interval $1 \leq x \leq 4$ . $y=\int_{1}^{x} \sqrt{t^{4}-1} d t$

• A) \(L=15.7500\)
• B) \(L=10.5000\)
• C) \(L=12.6000\)
• D) \(L=21.0000\)
• E) \(L=0.0476\)

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Definitions:

Reactive Power

The portion of electricity that establishes and sustains the electric and magnetic fields in a circuit, measured in volt-amperes reactive (VAR).

Series RL Circuit

An electrical circuit consisting of resistors (R) and inductors (L) connected in series, affecting the circuit's overall impedance.

Inductive Reactance

The resistance to change in current flow offered by an inductor, measured in ohms.

Total Impedance

Total impedance is the measure of the overall opposition an electrical circuit presents to alternating current, combining both its resistive and reactive components.