7. Length of the Polar Curve

User Generated

NOBFAVPU21

Mathematics

Description

Find the exact length of the polar curve.

r = 3 sin θ,    0 ≤ θ ≤ π/4

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

r = 3 sin theta

dr/dtheta = 3 cos theta

r2+(dr/dtheta)2 = 32 sin 2 theta+ 32 cos 2 theta = 9

ds = √9  d theta

ds = 3 d theta

integrating between 0 and pi /4 

s = 3 * pi/4 = 3/4 pi


Anonymous
Really helped me to better understand my coursework. Super recommended.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags