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- For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: Given the equation y=3cos(3πx+4π3), what is the value of b? What is the value of c? Part B: What is the phase shift?Part C: Is the phase shift left or right? Explain your answer.arrow_forwardQuestion 7 Find where y is defined implicitly by the equation dy da x4 -5x2y7 8 dy 5y7 10y-47 35zy® dy 8 10y7 412 35rys dr Question 8 enovoarrow_forwardAssume the center of the motion is the origin, the motion is counterclockwise and that t = 0 corresponds to a position along the positive horizontal axis. A point on the edge of a yo-yo which is 4 inches in diameter and spins at 4500 revolutions per minute. Find an equation for the horizontal position of the point h(t) in terms of t in minutes. A. h(t) = 4 cos C. h(t) = 2 cos 4500 2250 π B. h(t) = 4 cos D. h(t) = 2 cos 2250 4500arrow_forward
- QUESTION 13 Two objects moving along x-axis are starting at the same time. Their positions are measured in centimeters at time t in seconds. If the equation of motion of objects 1 and 2 are s.=212-31 ands.3t- respectivoly, determine the distance between the objects at the instant when they have the same velocity O 2 cm O 3 cm O 4 cm O 1 cmarrow_forwardA certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. y (feet) y (feet) 19 19 t (hours) t (hours) 12 -19 -19 y (feet) y (feet) 19 19 t (hours) t(hours) /9 12 6V 12 -19 -19arrow_forwardA certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 17 ft above, drops to 17 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. у (eet) у (feet) 17 17 t (hours) t (hours) 3 6. 9 12 3 6. 12 -17 у (feet) у (feet) Av 17 17 t (hours) t (hours) 12 3 9. 9 12 -17 -17arrow_forward
- The equation of a curve is y=x+2 cos x. Find the x co-ordinates of the stationary points of the curve for 0 < x< 2m, and determine the nature of each of these stationary points.arrow_forwardGiven the equation y=4csc(5π/4(x)−15π/4) 1. PERIOD 2.HORIZONTAL SHIFTarrow_forwardQuestion 16. Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). (2,3) and (2,2) respectively. Find the co-ordinates of their Centre of Mass.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage