Even questions only

HW 6.2.2: Parametric Functions Match each set of equations with one of the graphs below. 1 . x (t) =1 ly(1) =12 -1 2. Jx (t ) =1-1 ly (1 ) =12 3. Jx(t) = 4sin (t) ly(1) =2cos(t) Jx(t) = 2sin(t) 4. jy(t ) = 4 cos(1) 5. Jx(1) =2+1 (v(1) =3-21 6. x (1) =-2-21 (v ( 1 ) =3+1 15+ A B C D E Sketch the parametric equations for -2St$2. 7. x (1 ) =12+2 ()(1) =1+t 8 x(1) =5-12 ( )(t) =2+2 +1 9. x (t) =1+2t v(1) =12 10. x (1) = 21-2 y(1) =13Sketch the parametric equations 11. x(1) = 5 cos(t) ly(t) = 2 sin(t) 12 . [ x(1) = 1+2cos(t) (y(t) = 3- sin(t) Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation 13. x (1) =5-1 14 x(1) =7+2t y (t) =8-21 y(t ) =11-t 15. x (1) =21+1 x (1) =31-1 v ( t ) = 3V 16. v (t) = 212 17. x (1) =2e' x (t) =4+2t y(t) =1-5t 18. y(t) = 3log(t) 19. x(1)=13-1 x ( t ) =1+1 y (t) =2t 20. y ( 1) =1-ts21 x (1) =02 Ly(t) =ed 22. y(t ) =19 23. [x(t) = 4cos(t) 24. x(t) =4 sin(t) +1 ly(t) = 5sin(t) y(1) =7 cos(t) -2 Create a parametric equation for the rectangular equations 25. (x - 2) ( v+3) 36 =1 25 26. (x+3) +(y-1) =49 27. ( *+ 4) ( 1-2)? 16 =1 28. (1 - 5) ( x +4 ) 36 =1 81 64