Determining the Length of a Parametric Curve (Parametric Form) - Page 4
Questions
- What is the arclength of #(t^2lnt,t-lnt)# on #t in [1,2]#?
- What is the arclength of #(sqrt(e^(t^2)/(e^t)+1),t^3)# on #t in [-1,1]#?
- The curve described parametrically by #x=t^2+t+1#, and #y=t^2-t+1# represents?
- What is the arclength of #f(t) = (t/sqrt(t^2+2),t/e^(t-2))# on #t in [-1,1]#?
- What is the arclength of #(1/(1-e^t),2t)# on #t in [2,4]#?
- How do you find the length of the curve #x=1+3t^2#, #y=4+2t^3#, where #0<=t<=1# ?
- What is the arclength of #(t-2t^3,4t+1)# on #t in [-2,4]#?
- What is the arclength of #(tant,sect*csct)# on #t in [pi/8,pi/3]#?
- What is the arc length of #f(t)=(t^2-4t,5-t) # over #t in [3,4] #?
- What is the arclength of #f(t) = (t-2,1/(t-2))# on #t in [0,1]#?
- What is the arc length of #f(t)=(t^2-4t,5-1/t) # over #t in [3,4] #?
- What is the arclength of #(t^2-lnt,lnt)# on #t in [1,2]#?
- What is the arclength of #f(t) = (t^2sqrt(t-1),t^2+t-1)# on #t in [2,3]#?
- What is the arclength of #f(t) = (cos2t-sin2t,tan^2t)# on #t in [pi/12,(5pi)/12]#?
- What is the arclength of #f(t) = (sin^2t-cos2t,t/pi)# on #t in [-pi/4,pi/4]#?
- What is the arclength of #f(t) = (t^3-t^2+t,t-t^2)# on #t in [0,1]#?
- What is the arclength of #(t-t^3,t+1)# on #t in [-2,4]#?
- What is the arclength of #(t/(5-t),8/t)# on #t in [1,4]#?
- How do you determine the length of #x=3t^2#, #y=t^3+4t# for t is between [0,2]?
- What is the arc length of #f(t)=(3t-4,t^3-2t) # over #t in [-1,2]#?