Problem 1033
Find the arclength of the curve \(\displaystyle r(\theta)=a+a\cos \theta\), (\(\displaystyle \theta\in [\pi/4, \pi/4]\)). Difficulty: 3. |
Problem 1034
Prove that the logarithmic spiral \(\displaystyle r=a\cdot e^{c\cdot \psi}\) (\(\displaystyle \psi\in [0,\infty)\)) has finite arclength. Difficulty: 3. |
Problem 1025
Find the arclength of the arc on the parabola \(\displaystyle y=x^2\) that lies above \(\displaystyle [0,a]\). Difficulty: 4. |
Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |