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Finding Cartesian from Parametric Equations
Exercises 1−18 give parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle’s path by finding a Cartesian equation for it. Graph the Cartesian equation. (The graphs will vary with the equation used.) Indicate the portion of the graph traced by the particle and the direction of motion.
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Chapter 10 Solutions
University Calculus: Early Transcendentals (3rd Edition)
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- Shooting into the Wind Suppose that a projectile is fired into a headwind that pushes it back so as to reduce its horizontal speed by a constant amount . Find parametric equations for the path of the projectile.arrow_forwardFind a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b. t=2xarrow_forwardThe equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= 6t + 5, y = 12t- 1; - oarrow_forward
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