SKILLS
35-38. Phase and Phase Difference A pair of sine curves with the same periods is given. (a) Find the phase of each curve. (b) Find the phase difference between the curves. (c) Determine whether the curves are in or out of phase. (d) Sketch both curves on the same axes.
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Algebra and Trigonometry (MindTap Course List)
- The sine curves y1=30sin(6t2) and y2=30sin(6t3) have the same period. a Find the phase of each curve. b Find the phase difference between y1 and y2. c Determine whether the curves are in phase or out of phase. d Sketch both curves on the same axes.arrow_forwardMotion of a Projectile If a projectile (such as a bullet) is fired into the air with an initial velocity v at an angle of elevation (see Figure 10), then the height h of the projectile at time t is given by h=16t2+vtsin Give the equation for h, if v is 600 feet per second and is 45. (Leave your answer in exact value form.)arrow_forwardMotion of a Projectile If a projectile (such as a bullet) is fired into the air with an initial velocity v at an angle of elevation (see Figure 10), then the height h of the projectile at time t is given by h=16t2+vtsin Give the equation for the height, if v is 1,500 feet per second and is 30.arrow_forward
- Linear and Angular Speed A Blu-ray disc is approximately 12 centimeters in diameter. The drive motor of a Blu-ray player is able to rotate up to 10,000 revolutions per minute. (a) Find the maximum angular speed (in radians per second) of a Blu-ray disc as it rotates. (b) Find the maximum linear speed (in meters per second) of a point on the outermost track as the disc rotates.arrow_forwardLinear and Angular Speed A carousel with 50-foot diameter makes 4 revolutions per minute. (a) Find the maximum angular speed (in radians per second) of a Blu-ray disc as it rotates. (b) Find the maximum linear speed (in meters per second) of a point on the outermost track as the disc rotates.arrow_forwardBiorhythms A popular theory that attempts to explain the ups and downs of everyday life states that each person has three cycles, called biorhythms, which begin at birth. These three cycles can be modeled by the sine functions below, where t is the number of days since birth. Physical (23 days): P=sin2t23,t0 Emotional (28 days): E=sin2t28,t0 Intellectual (33 days): I=sin2t33,t0 Consider a person who was born on July 20,1995. (a) Use a graphing utility to graph the three models in the same viewing window for 7300t7380. (b) Describe the person’s biorhythms during the month of September 2015. (c) Calculate the person’s three energy levels on September 22,2015.arrow_forward
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