May 2017 MAT-232-OL009 Group Forum 3 - Part 1 Section 9.1, Exercise # 4 x 4 3t y 2 4t x 4 3t x4 t 3 y 2 4t y 2 4t x4 ) 3 4 x 16 y2 3 3 y 6 4 x 16 3 y 4 x 22 y 2 4( Section 9.2, Exercise # 2 (a) t = -1 (b) t = 1 (c) (-2,0) Kevin D. Harget May 2017 MAT-232-OL009 Group Forum 3 - Part 1 x t3 t 4 2 y t 5t 4 x '(t ) 3 x 2 1 y '(t ) 4t 3 10t (a ) 4t 3 10t 4( 1)3 10( 1) 6 3 2 2 3x 1 3( 1) 1 2 (b) 4t 3 10t 4(1) 3 10(1) 6 3 2 2 3x 1 3(1) 1 2 (c ) (0, 4) t3 t 0 t 4 5t 2 4 4 4t 3 10t 4(0) 3 10(0) 0 0 2 2 3x 1 3(0) 1 1 Section 9.3, Exercise # 2 Kevin D. Harget May 2017 MAT-232-OL009 Group Forum 3 - Part 1 3 x t 4 (a) , 2 t 2 2 y t 3 x t 3 4t (b) , 2 t 2 2 y t 3t (a) 3 x t 4 2 y t 3 x '(t ) 3t 2 y '(t ) 2t 2 (3t 2 ) 2 (2t ) 2 dt 2 2 (9t 4 ) (4t 2 )dt 18.1477 2 3 x t 4t (b) 2 y t 3t x '(t ) 3t 2 4 y '(t ) 2t 3 2 (3t 2 4) 2 (2t 3) 2 dt 19.0446 2 Section 9.4, Exercise # 4 Kevin D. Harget May 2017 MAT-232-OL009 Group Forum 3 - Part 1 3 ) 2 r 3 3 2 (3, x r cos 3 x 3cos 2 0 y r sin 3 y 3sin 2 3 (0,3) Is the rectangular representative Kevin D. Harget