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Problems 👉Find the radius of curvature of the curve x^3+y^3=3axy at the point (3a/2 3a/2) and find the radius of curvature of the curve √x+√y=√a at (a/4 a/4) The first curve x^3+y^3=3axy Is called folium of descartes The radius of curvature for a cartesian curve at a given point provides a measure of how tightly the curve is turning at that specific location.The smaller the radius of curvature, the sharper the curve at that point. The formula for the radius of curvature at a given point on a cartesian curve is given by: r = [(1 + (dy/dx)^2)^(3/2)] / |d^2y/dx^2| Derivation for radius of curvature you can find in link below where dy/dx is the slope of the tangent line at that point, and d^2y/dx^2 is the second derivative of the curve at that point. 👉 The following two problems to find the radius of curvature are solved here ✅Find the radius of curvature of the curve x^3+y^3=3axy at the point (3a/2 3a/2) ✅ Find the radius of curvature of the curve √x+√y=√a at (a/4 a/4) #FindTheRadiusOfCurvatureOfTheCurveX^2/3+Y^2/3=A^2/3AtThePoint(3A/2,3aA/2)#FindTheRadiusOfCurvatureOfTheCurve√X+√Y=√AAt(A/4,A/4) • VTUM1|Radius of curvature in Cartesian for... • VTUM1|Find the Pedal equation of the Curve... • Find the angle of intersection between the... Please go through the playlists given below for Chapter wise videos on Engineering Mathematics ,Polytechnic diploma and other subjects for all universities across India and abroad. • Angle between the radius vector and tangen... ...................................................................................................................... My website : https://mudassiracademy.com/ https://engineeringtuitionbangalore.com/ Facebook : / themudassiracademy Twitter : / mudassiracademy Instagram : / mudassiracademy email: [email protected]