(a) draw the polar equation r=theta, for theta greater than and equal to 0, but less than or equal to pi/2, draw, on the same diagram the line theta=a where a is greater than 0 but less thanpi/2
(b) if the line theta=a devided the curve into two region with same area, find the value of a.
I'm particularly struggling with part(B）， so please help!

Question

(a) draw the polar equation r=theta, for theta greater than and equal to 0, but less than or equal to pi/2, draw, on the same diagram the line theta=a where a is greater than 0 but less thanpi/2
(b) if the line theta=a devided the curve into two region with same area, find the value of a.
I'm particularly struggling with part(B）， so please help!

caozeyuan · Answer

@amistre64

amistre64 · Answer

the corrdinants (r,theta), for a constant theta, is just a line thru the origin with a slope of tan(theta)

amistre64 · Answer

the curve r=theta creates a spiral, archimedes spiral i believe

caozeyuan · Answer

but it only requires theta from 0 to pi/2

amistre64 · Answer

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