13-2 - Solutions to Homework Assignment 9 5. Notice that y...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Solutions to Homework Assignment 9 5. Notice that y = ( x- 1) 2 , so this is the parabola y = x 2 shifted right 1 unit. r prime ( t ) = < 1 , 2 t > . At t = 1 , this is < 1 , 2 > . The graphs are below. The position vector is blue and the tangent vector is green. 6. Here, y = 1 /x and neither x nor y can be negative or zero. We just get the arm of the hyperbola in the first quadrant. r prime ( t ) = < e t ,- e- t > . At t = 0 , this is < 1 ,- 1 > .-2-4-2-4 4 4 2 2-2-4-2-4 4 4 2 2 Number 5 Number 6 10. r prime ( t ) = <- 3 sin(3 t ) , 1 , 3 cos(3 t ) > . 13. r prime ( t ) = (bigg 2 te t 2 , , 3 1 + 3 t )bigg . 15. r prime ( t ) = vector b + 2 tvector c. 21. r prime ( t ) = < 1 , 2 t, 3 t 2 >, so T ( t ) = < 1 , 2 t, 3 t 2 > 1 + 4 t 2 + 9 t 4 . Thus, T (1) = 1 , 2 , 3 14 . r primeprime ( t ) = < , 2 , 6 t > . r prime ( t ) r primeprime ( t ) = < 1 , 2 t, 3 t 2 > < , 2 , 6 t > = < 12 t 2- 6 t 2 ,- (6 t- 0) , 2- > = < 6 t 2 ,- 6 t, 2 > ....
View Full Document

Ask a homework question - tutors are online