If you could show your work and provide a brief explanation, that would be great. Thank you!

Use the following description to answer questions 23 and 24: The vertical displacement y of a boat that is rocking up and down on a lake, with y measured relative to the bottom of the lake. It has a maximum displacement of 12 meters and a minimum of 8 meters, a period of 3 seconds, and an initial displacement of 11 meters when measurement was first started (i.e., t = 0). Assume the boat is rising at this time. 23. Which of the following trigonometric functions could be used to approximate this cycle? A) y = -2 cos(2" (t - })) B) y = 10 + 2 cos( " (t - =)) C) y = 8 + cos(2"t) D) y = 10 + 2 cos( # (t + ;)) E) None of the above. 24. What was the predicted rate of change of the number of y(t) when t = 4? 3 sin( ) =21 sin ( 14x ) B) 3 C) 4 sin () D) = sin (]) E) None of the above.Use the following information to answer questions 25 and 26: A mass suspended from a spring is raised a distance of 8 m above its resting position. The mass is released at time t=0 and allowed to oscillate. After 2 seconds, it is observed that the mass returns to its highest position, which was 6 cm above its resting position. 25. Which of the following functions could be used to approximate this phenomena? A) 8(0.75) = cos( it) B) 6(0.75) = sin(nt) C) 8(0.75) 2t cos(nt) D) 8ez cos( nt) + 8 E) None of the above. Copyright 2022 @A. McEachern 26. What is the rate of change of the mass at 4 seconds? A) 4(0.75)2 C) 4(0.75)2 In(0.75) E) None of the above. B) (0.75) In (0.75) D) -8(0.75)' In(0.75)