The arc length of the plane curve $x = 3t - \sin 3t$, $y = 4 + \cos 4t$, where $0 \le t \le 4\pi$, is given by the integral $\int_0^{4\pi} f(t)dt$ where $f(t) = $
Added by Ines B.
Close
Step 1
The derivative of the curve with respect to t is given by: dx/dt = 3 - 3cos(3t) dy/dt = -4sin(4t) Show more…
Show all steps
Your feedback will help us improve your experience
Hoan Nguyen and 90 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Consider the space curve r(t) = <2−2 cos(5t), cos(5t), 3 sin(5t)>. a. Find the arc length function for r(t). s(t) = b. Find the arc length parameterization for r(t). r(s) =
Madhur L.
Arc Length Parameter Find the arc length parameter along the curve r(t) = (cos t + t sin t)i + (sin t - t cos t)j from the point where t = 0 by evaluating the integral s = integral from 0 to t of |v(tau)| dtau, then find the length of the curve for pi/2 <= t <= pi.
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD