SOLUTION: Hope this is the right topic! Sorry if it isn't! Background info: You are given the equation y(t)=2sin(4πt) + 5cos(4πt), which models the position of the weight, with respect

Question 1169795: Hope this is the right topic! Sorry if it isn't!
Background info:
You are given the equation y(t)=2sin(4πt) + 5cos(4πt), which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first form,y(t)=A sin(wt+Φ)
More background info:
y(t) = distance of weight from equilibrium position
w= angular frequency (measured in radians per second)
A = amplitude
Φ = phase (depends on initial conditions)
c1 = AsinΦ
c2 = AcosΦ
Question: Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the interval 0 ≤ t ≤ 0.5. Solve algebraically, and show your work and final answer in the response box. Hint: Use the amplitude to determine what y(t) must be when the weight is halfway to its maximum negative position. Graph the equation and explain how it confirms your solution(s).
THANK YOU SO MUCH IN ADVANCE FOR HELPING ME!
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.

duplicate.

Just solved under this link

https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1169852.html

https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1169852.html

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