s10wk04 - Math 23 B Dodson Week 4 13.3 arc length curvature...

This preview shows page 1 - 4 out of 4 pages.

Math 23B. DodsonWeek 4:13.3 arc length, curvature13.4 velocity, acceleration;Week 4 Homework:13.3 curvatureProblem 13.3.16Use formula (9) to find the curvature ofr(t) =< t2,2t,lnt >.
3.Finally, for the curvature, since|T|=22t2+1,the product of the scalar factor we dropped andthe remaining length, soκ=1|r||T|=22t2+ 1t2t2+ 1=2t(2t2+ 1)2.Week 4 Homework:13.4 velocity, accelerationProblem 13.4.35:Ifr(t) =< et,2t, e-t>,(a)Find velocity, acceleration and speed(from 13.4.11).

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture