Math Answers

Find the curvature, the radius and the center of curvature at a point.

x = t ^ 2 , y = t ^ 3 ; t = 1/2

Find the curvature, the radius and the center of curvature at a point.

y=sin x, x = pi/2

Find the exact arc length of the curve

x = e ^ 2t* (sin t + cos t) , y=e^2t(sin t - cos t) ; (−1≤t≤1)

Find the exact arc length of the curve

x = cos 3t, y = sin 3t ;(0 ≤ t ≤π)

Find the equation of Tangent line to the curve ;

x=e^t , y=e^-t at t=1

Find dy/dx and d²y/dx² of;

x = theta + cos theta, y = 1 + sin theta

; theta = pi/6

Find dy/dx and d²y/dx²;

x=√t, y=2t+4 ; t=1

Find the curvature, the radius of curvature and the center of curvature having a parametric equations at the given point:

r = 4cos 2theta , theta = 1/12 * pi

Find the curvature, the radius of curvature and the center of curvature having a parametric equations at the given point:

x = sin y, (1/2,1/6 π)

Find the curvature, the radius of curvature and the center of curvature having a parametric equations at the given point:

y=e^x , (0,1)