Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 331

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-The position of a weight on a spring relative to the point of equilibrium is given by $y = 4 \cos 3 t - 8 \sin 3 t$
where the arguments are in radians and $\mathrm { t }$ is in seconds. Find the smallest value of $\mathrm { t }$ for which the we at the point of equilibrium $( y = 0 )$ . Give your answer to the nearest hundredth.

• A) \(0.15\)
• B) \(0.44\)
• C) \(0.37\)
• D) \(0.26\)

---

Definitions:

Adolescents

Young people in the transitional stage of physical and psychological development from the onset of puberty to adulthood.

Prostitution

The act or practice of providing sexual services to another person in return for payment.

Habitually Running

A regular practice of jogging or running, often done for physical fitness, mental clarity, or stress management.

Excessive Drinking

The consumption of alcohol in amounts that are detrimental to physical and mental health.