1. A weight is suspended from a spring and vibrating vertically according to the equation F(t)= 25.2 sin (3.8t-2.1) Where F(t) centimeters is the directed distance of the weightfrom its central position at t seconds,and the postive distance means above its central position. a. Find the times when the weight is at its central position. b. For what values of t does the weight reach its farthest point below its central position.
1. A weight is suspended from a spring and vibrating vertically according to the equation
F(t)= 25.2 sin (3.8t-2.1)
Where F(t) centimeters is the directed distance of the weightfrom its central position at t seconds,and the postive distance means above its central position.
a. Find the times when the weight is at its central position.
b. For what values of t does the weight reach its farthest point below its central position.
2. The finance department of a car company conducted a studyof their weekly sales in the past years,andout with the following approximating functions
s(t)=12.18 cos(0.88t-7.25) + 20.40,t>0
where s(t) represents weekly car sales in million pesosat week t ( t=0) represents the startof the study.
a. Find the weekly sales at the startof the study.
b. Find the maximum projected maximum and minimum weekly sales of the company.
c. Ifthe company were able to reach its maximum sales this week,when will the nest projectes maximum weekly sales and upcoming projected minimum weekly sales be?
d. After the start of the study,when did the company expereince a weekly sales of only 10 million for the first time?
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