Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you determine the length of $x = 3 t^{2}$ $x=3t^2$ , $y = t^{3} + 4 t$ $y=t^3+4t$ for t is between [0,2]?

1 Answer

Feb 25, 2015

Hi, are you sure about the two parametric equations?

Related questions

How do you find the arc length of a parametric curve?
How do you find the length of the curve $x = 1 + 3 t^{2}$ $x=1+3t^2$ , $y = 4 + 2 t^{3}$ $y=4+2t^3$ , where $0 \leq t \leq 1$ $0<=t<=1$ ?
How do you find the length of the curve $x = e^{t} + e^{- t}$ $x=e^t+e^-t$ , $y = 5 - 2 t$ $y=5-2t$ , where $0 \leq t \leq 3$ $0<=t<=3$ ?
How do you find the length of the curve $x = \frac{t}{1 + t}$ $x=t/(1+t)$ , $y = ln (1 + t)$ $y=ln(1+t)$ , where $0 \leq t \leq 2$ $0<=t<=2$ ?
How do you find the length of the curve $x = 3 t - t^{3}$ $x=3t-t^3$ , $y = 3 t^{2}$ $y=3t^2$ , where $0 \leq t \leq \sqrt{3}$ $0<=t<=sqrt(3)$ ?
How do you determine the length of a parametric curve?
How do you determine the length of $x = 2 t^{2}$ $x=2t^2$ , $y = t^{3} + 3 t$ $y=t^3+3t$ for t is between [0,2]?
What is the arc length of $r (t) = (t, t, t)$ $r(t)=(t,t,t)$ on $t \in [1, 2]$ $tin [1,2]$ ?
What is the arc length of $r (t) = (t e^{t^{2}}, t^{2} e^{t}, \frac{1}{t})$ $r(t)=(te^(t^2),t^2e^t,1/t)$ on $t \in [1, ln 2]$ $tin [1,ln2]$ ?
What is the arc length of $r (t) = (t^{2}, 2 t, 4 - t)$ $r(t)=(t^2,2t,4-t)$ on $t \in [0, 5]$ $tin [0,5]$ ?

See all questions in Determining the Length of a Parametric Curve (Parametric Form)

Impact of this question

2947 views around the world

You can reuse this answer
Creative Commons License