A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to the moment it enters the hoop is described by y = 2.07 + 2.15x – 0.49x²,0

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
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A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to
the moment it enters the hoop is described by
y = 2.07 + 2.15x – 0.49x?,0 < x< 4.6
where x is the horizontal distance (in meters) from the point of release, and y is the vertical distance (in meters) above the floor. Use a
CAS or a scientific calculator with a numerical integration capability to approximate the distance the ball travels from the moment it is
released to the moment it enters the hoop.
Round your answer to two decimal places.
D =
i
Transcribed Image Text:A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to the moment it enters the hoop is described by y = 2.07 + 2.15x – 0.49x?,0 < x< 4.6 where x is the horizontal distance (in meters) from the point of release, and y is the vertical distance (in meters) above the floor. Use a CAS or a scientific calculator with a numerical integration capability to approximate the distance the ball travels from the moment it is released to the moment it enters the hoop. Round your answer to two decimal places. D = i
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