Homework SourseI already asked this earlier and forgot to post the choices
I already asked this earlier and forgot to post the choices. Please explain and don\'t just pick a letter cuz I need to understand this
Find all the points of a cycloid described by x=a(t - sin t) and y= a(1-cos t) where the tangent line is horizontal and a not equal 0 is a constant
a. (a k pi, 2a)
b. (a(2k 1)pi, 2a)
c. (a(k 1)pi, a)
d. (a 2 k pi, 2a)
Find all the points of a cycloid described by x=a(t - sin t) and y= a(1-cos t) where the tangent line is horizontal and a not equal 0 is a constant
a. (a k pi, 2a)
b. (a(2k 1)pi, 2a)
c. (a(k 1)pi, a)
d. (a 2 k pi, 2a)
Solution
dy/dx = (dy/dt)/(dx/dt) = a.sin(t)/a(1-cos(t)) = sin(t)/(1-cos(t)) = 0
sin(t) = 0
t = k -> x = a(k - 0) = ak -> y = 2a
answer a.
