The Kentucky Derby is a 2 km race. Assume the track is circular and horses run counterclockwise around the track starting due east of center. Let theta be the angle (in radians) the horse has swept out counterclockwise since starting the race. Draw a picture of the horse’s path along the cir- cular track on the axes provided. The compass provided depicts the cardinal directions for the axes. Place the cen- ter of the track at the origin. Label (answers may include r for radius, theta for angle): (i). starting position, (ii). horse’s direction of travel (with arrow), and (iii). coordinates of 2 points on the track. What does theta > 6pi mean about the path of the horse? The horse’s distance (in km) east of the center of the track, d, is a function of theta. Write an equation for d(theta)
The Kentucky Derby is a 2 km race. Assume the track is circular and horses run counterclockwise around the track starting due east of center. Let theta be the angle (in radians) the horse has swept out counterclockwise since starting the race. Draw a picture of the horse’s path along the cir- cular track on the axes provided. The compass provided depicts the cardinal directions for the axes. Place the cen- ter of the track at the origin. Label (answers may include r for radius, theta for angle): (i). starting position, (ii). horse’s direction of travel (with arrow), and (iii). coordinates of 2 points on the track. What does theta > 6pi mean about the path of the horse? The horse’s distance (in km) east of the center of the track, d, is a function of theta. Write an equation for d(theta)
The Kentucky Derby is a 2 km race. Assume the track is circular and horses run counterclockwise around the track starting due east of center. Let theta be the angle (in radians) the horse has swept out counterclockwise since starting the race. Draw a picture of the horse’s path along the cir- cular track on the axes provided. The compass provided depicts the cardinal directions for the axes. Place the cen- ter of the track at the origin. Label (answers may include r for radius, theta for angle): (i). starting position, (ii). horse’s direction of travel (with arrow), and (iii). coordinates of 2 points on the track. What does theta > 6pi mean about the path of the horse? The horse’s distance (in km) east of the center of the track, d, is a function of theta. Write an equation for d(theta)
The Kentucky Derby is a 2 km race. Assume the track is circular and horses run counterclockwise around the track starting due east of center. Let theta be the angle (in radians) the horse has swept out counterclockwise since starting the race.
Draw a picture of the horse’s path along the cir- cular track on the axes provided. The compass provided depicts the cardinal directions for the axes. Place the cen- ter of the track at the origin.
Label (answers may include r for radius, theta for angle):
(i). starting position, (ii). horse’s direction of travel (with arrow), and (iii). coordinates of 2 points on the track.
What does theta > 6pi mean about the path of the horse?
The horse’s distance (in km) east of the center of the track, d, is a function of theta. Write an equation for d(theta)
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Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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