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1.
What is the radius of curvature at point (1, 2) of the curve 4x – y2 = 0?
2.
Find the radius of curvature at any point of the curve y + ln (cos x) = 0.
3.
Determine the radius of curvature at (4, 4) of the curve y2 – 4x = 0.
4.
Find the radius of curvature of the curve x = y3 at (1, 1)
5.
The chords of the ellipse 64x2 + 25y2 = 1600 having equal slopes of 1/5 are bisected by its diameter. Determine the equation of the diameter of the ellipse.