Solve the Problem $y = 2 \cos 3 t - 7 \sin 3 t$

question 290

Multiple Choice

Solve the problem.
-The position of a weight on a spring relative to the point of equilibrium is given by $y = 2 \cos 3 t - 7 \sin 3 t$ ,
where the arguments are in radians and $t$ is in seconds. Find the smallest value of $t$ for which the weight is at the point of equilibrium $( \mathrm { y } = 0 )$ . Give your answer to the nearest hundredth.

• A) \(0.43\)
• B) \(0.17\)
• C) \(0.48\)
• D) \(0.09\)

Understand the basic principles and requirements of linear programming, including the need for a linear objective function and constraints.

Identify and apply the graphical method of solving linear programming problems, including the identification of feasible regions and corner points.

Comprehend the role of sensitivity analysis and the analytic postoptimality method in exploring the robustness of linear programming solutions.

Recognize valid mathematical forms of constraints in linear programming problems.

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