Find an equation for the circle of curvature of the curve r ( t) = t i + ( sin t) j at the point ( π / 2, 1). (The curve parametrizes the graph of y = sin x in the x y -plane.) Answer ( x − π 2) 2 + y 2 = 1
circle of curvature is the center of curvatureof γin P. When the curve γis given in the parametric form x=x(t),yÃ Â´=y(t), the coordinatesof the center of curvature belonging to
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Find an equation for the circle, of curvature of the curve r(t) = 6t i + sin(t) j at the point (3xt, 1). (The curveparameterizes the graph of y = sin Xin the xy-plane.) An equation for the circle of
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Thankfully, we can transform our formula for finding curvature in three different ways, depending on the type of function we are given. If the curve is given in vector form