Paramétricas

1.- x = 2t-3 ; y = 3t-1

2.- x = 5-4t ; y = 2+5t

x = 2t-3 ; y = 3t-1 {-10,10}t x y

-9.0 -21.0 -28.0-8.0 -19.0 -25.0-7.0 -17.0 -22.0-6.0 -15.0 -19.0-5.0 -13.0 -16.0-4.0 -11.0 -13.0-3.0 -9.0 -10.0-2.0 -7.0 -7.0-1.0 -5.0 -4.00 -3.0 -1.01.0 -1.0 2.02.0 1.0 5.03.0 3.0 8.0

4.0 5.0 11.05.0 7.0 14.06.0 9.0 17.07.0 11.0 20.08.0 13.0 23.09.0 15.0 26.0

x = 5-4t ; y = 2+5t {-7,7}

t x y

-6.0 29.0 -28.0

-5.0 25.0 -23.0

-4.0 21.0 -18.0

-3.0 17.0 -13.0

-2.0 13.0 -8.0

-1.0 9.0 -3.0

0 5.0 2.0

1.0 1.0 7.0

2.0 -3.0 12.0

3.0 -7.0 17.0

4.0 -11.0 22.0

5.0 -15.0 27.0

6.0 -19.0 32.0

3.- x = t+1 ; y = t2

4.- x = 2t2 ; y = t4+1

x = t+1 ; y = t^2 {-8,8}t x y

-7.0 -6.0 49.0-6.0 -5.0 36.0-5.0 -4.0 25.0-4.0 -3.0 16.0-3.0 -2.0 9.0-2.0 -1.0 4.0-1.0 0 1.00 1.0 0

1.0 2.0 1.02.0 3.0 4.03.0 4.0 9.0

4.0 5.0 16.05.0 6.0 25.06.0 7.0 36.07.0 8.0 49.0

x = 2t^2 ; y = t^4+1 {-6,6}t x y

-5.0 50.0 626.0-4.0 32.0 257.0-3.0 18.0 82.0-2.0 8.0 17.0-1.0 2.0 2.00 0 1.01.0 2.0 2.0

2.0 8.0 17.03.0 18.0 82.0

4.0 32.0 257.05.0 50.0 626.0

5.- x=t3 ; y=t 22

6.- x=t2+t ; y=t2-t

x=t^3 ; y=(t^2)/2 {-5,5}t x y

-4.5 -91.125 10.125-4.0 -64.0 8.0-3.5 -42.875 6.125-3.0 -27.0 4.5-2.5 -15.625 3.125-2.0 -8.0 2.0-1.5 -3.375 1.125-1.0 -1.0 0.5-0.5 -0.125 0.125

0 0 00.5 0.125 0.1251.0 1.0 0.51.5 3.375 1.1252.0 8.0 2.02.5 15.625 3.1253.0 27.0 4.53.5 42.875 6.1254.0 64.0 8.04.5 91.125 10.125

x=t^2+t ; y=t^2-t {-5,5}

t x y-4.0 12.0 20.0-3.0 6.0 12.0-2.0 2.0 6.0-1.0 0 2.00 0 01.0 2.0 02.0 6.0 2.03.0 12.0 6.04.0 20.0 12.0

7.- x=√t ; y=t-5

8.- x=∜t ; y=8-t

x=√t ; y=t-5 {-5,5}t x y0 0 -5.0

1.0 1.0 -4.02.0 1.4142 -3.03.0 1.7321 -2.04.0 2.0 -1.0

x=∜t ; y=8-t {-6,6}t x y0 0 8.01.0 1.0 7.02.0 1.1892 6.03.0 1.3161 5.04.0 1.4142 4.05.0 1.4953 3.0

9.- x=t-3 ; y=tt−3

10.- x=1+1t

; y=t-1

x=t-3 ; y=t/(t-3) {-5,5}t x y

-4.0 -7.0 0.5714-3.0 -6.0 0.5-2.0 -5.0 0.4-1.0 -4.0 0.25

0 -3.0 01.0 -2.0 -0.52.0 -1.0 -2.04.0 1.0 4.0

x=1+(1/t) ; y=t-1 {-6,6}

t x y-5.0 0.8 -6.0-4.0 0.75 -5.0-3.0 0.6667 -4.0-2.0 0.5 -3.0-1.0 0 -2.01.0 2.0 02.0 1.5 1.03.0 1.3333 2.04.0 1.25 3.05.0 1.2 4.0

11.- x=2t ; y=t-2

12.- x=t-1 ; y=t+2

x=2t ; y=t-2 {-5,5}t x y

-4.0 -8.0 -6.0-3.0 -6.0 -5.0-2.0 -4.0 -4.0-1.0 -2.0 -3.0

0 0 -2.01.0 2.0 -1.02.0 4.0 03.0 6.0 1.04.0 8.0 2.0

x=t-1 ; y=t+2 {-6,6}

t x y-5.0 -6.0 -3.0-4.0 -5.0 -2.0-3.0 -4.0 -1.0-2.0 -3.0 0-1.0 -2.0 1.0

0 -1.0 2.01.0 0 3.02.0 1.0 4.03.0 2.0 5.04.0 3.0 6.05.0 4.0 7.0

13.- x=et ; y=e3t+1

14.- x=sec(θ) ; y=cos(θ)

x=e^t ; y=e^(3t)+1 {-5,5}t x y

-4.0 0.0183 1.0-3.0 0.0498 1.0001-2.0 0.1353 1.0025-1.0 0.3679 1.0498

0 1.0 2.01.0 2.7183 21.08552.0 7.3891 404.42883.0 20.0855 8104.08394.0 54.5982 162755.7914

x=sec(θ) ; y=cos(θ) {-5,5}t x y

-4.0 -1.5299 -0.6536-3.0 -1.0101 -0.99-2.0 -2.403 -0.4161-1.0 1.8508 0.5403

0 1.0 1.01.0 1.8508 0.54032.0 -2.403 -0.41613.0 -1.0101 -0.994.0 -1.5299 -0.6536

15.- x=tan2(θ) ; y=sec2(θ)

16.- x=8cos(θ) ; y=8sin(θ)

x=tan2(θ) ; y=sec2(θ) {-6,6}t x y

-5.0 0.747 -1.2482-4.0 2.185 -2.403-3.0 -14.1014 14.1368-2.0 -1.5574 1.8508-1.0 -0.5463 1.1395

0 0 1.01.0 0.5463 1.13952.0 1.5574 1.85083.0 14.1014 14.13684.0 -2.185 -2.4035.0 -0.747 -1.2482

x=8*cos(θ) ; y=8*sin(θ) {-6,6}

t x y

-5.0 2.2693 7.6714

-4.0 -5.2291 6.0544

-3.0 -7.9199 -1.129

-2.0 -3.3292 -7.2744

-1.0 4.3224 -6.7318

0 8.0 0

1.0 4.3224 6.7318

2.0 -3.3292 7.2744

3.0 -7.9199 1.129

4.0 -5.2291 -6.0544

5.0 2.2693 -7.6714

17.- x=3cos(θ) ; y=7sin(θ) x=3*cos(θ) ; y=7*sin(θ) {-6,6}t x y

-5.0 0.851 6.7125-4.0 -1.9609 5.2976-3.0 -2.97 -0.9878-2.0 -1.2484 -6.3651-1.0 1.6209 -5.8903

0 3.0 01.0 1.6209 5.89032.0 -1.2484 6.36513.0 -2.97 0.98784.0 -1.9609 -5.29765.0 0.851 -6.7125