Find the length of the curve r = cos³theta, 0≤ 0 ≤ π/4.
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1. Find the length of the curve r = cos³theta, 0≤ 0 ≤ π/4.
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- Find the length of the curve over the given interval. r = 2a cos θ, [−π /4, π/4]Find the length of the curve over the given interval. r = 4 sin θ, [0, π]A particle moves in the xy-plane in such a way that its path is defined by x = et cos t and y = et sin 2t. Find the speed of the particle when t = /2.
- If x = 8cos3theta and y = 8sin3theta, find the total length of the curve swept out by the point (x,y) as theta ranges from 0 to 2pi.In which direction is the curve x = -2 sin t, y = 2 cos t, for 0 ≤ t < 2π, generated?Find the arclength on y = 4x3/2 from x is greater than or equal to 1 and less than or equal to 3