8 4 Exercises Concepts 1 A The Parametric Equations X F T And Y G T Give The Coordinates Of A Point X Y F 1 (51.88 KiB) Viewed 28 times
8 4 Exercises Concepts 1 A The Parametric Equations X F T And Y G T Give The Coordinates Of A Point X Y F 2 (48.09 KiB) Viewed 28 times
8 4 Exercises Concepts 1 A The Parametric Equations X F T And Y G T Give The Coordinates Of A Point X Y F 3 (16 KiB) Viewed 28 times
8.4 EXERCISES CONCEPTS 1. (a) The parametric equations x = f(t) and y = g(t) give the coordinates of a point (x, y) = (f(t), g(t)) for appropriate values of t. The variable 1 is called a = (b) Suppose that the parametric equations x = 1, y = 1?, 1 2 0, model the position of a moving object at time i. When 1 = 0, the object is at ), and when t = 1, the object is at (c) If we eliminate the parameter in part (b), we get the equation y = We see from this equation that the path of the moving object is a 2 (3)
SKILLS 3–26 Sketching a Curve by Eliminating the Parameter A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. 3. x = 21, y = 1 + 6 4. x = 6t - 4, y = 31, 120 5. x = 1, y = 1-2, 2sts 4 6. * = 2t + 1, y = (1 + 2)2 7. x= Vt, y= 1 - 1 8. x = 0, y = ** +1
I 1 9. x = y = + 1 1 1 10. x = 1 + 1, y = t + 1 .2 0.3
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