Determining the Length of a Parametric Curve (Parametric Form) - Page 5
Questions
- How do you determine the length of a parametric curve?
- What is the arc length of #f(t)=(lnt,5-lnt) # over #t in [3,4] #?
- What is the arclength of #f(t) = (t-e^(t),t-2/t+3)# on #t in [1,2]#?
- What is the arc length of #r(t)=(t,t,t)# on #tin [1,2]#?
- What is the arclength of #f(t) = (e^(t)-e^(t^2)/t,t^2-1)# on #t in [1,3]#?
- What is the arclength of #(ln(t+3),lnt/t)# on #t in [1,2]#?
- What is the arclength of #f(t) = (sin^2t/sin(2t),tant-sec^2t)# on #t in [pi/12,pi/4]#?
- Find arc length given #x=t\sint#, #y=t\cost# and #0\let\le1#?
- What is the arclength of #f(t) = (t-tsqrt(t-1),t/(t^2-1))# on #t in [2,3]#?
- How do you find the length of the curve #x=e^t+e^-t#, #y=5-2t#, where #0<=t<=3# ?
- What is the arclength of #(sqrt(3t-2),1/sqrt(t+3))# on #t in [1,3]#?
- What is the arclength of #(1/(t+te^t),-t)# on #t in [3,4]#?
- What is the arc length of #f(t)=(1/sqrt(t+t^2),2-8t) # over #t in [1,3]#?
- What is the arclength of #(9t^3-2t^2+15,-2t^2-12t-1)# on #t in [-2,3]#?
- How do you find the length of the curve #x=3t-t^3#, #y=3t^2#, where #0<=t<=sqrt(3)# ?
- What is the arclength of #(2t^3-t^2+1,2t^2-t+4)# on #t in [-2,1]#?
- What is the arc length of the curve given by #r(t)= (9sqrt(2),e^(9t),e^(-9t))# on # t in [3,4]#?
- What is the arc length of the curve given by #r(t)= (1/t,1,t)# on # t in [0, 1]#?
- What is the arclength of #(sqrtt,1/sqrt(t^2+3))# on #t in [1,2]#?
- What is the arclength of #((e^tlnt)/t,t/(e^tlnt))# on #t in [2,4]#?