2. Find the curvature of the curve x(t) t = 1. %3D at

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Q: 3. Find the curvature of the curve given by 7(t) = (t, t², t) nt (-1, 1, –1).

A: Given curve is We know that curvature to given curve at point (-1,1,-1) , that is at t=-1 is

Q: cos t + sin t *(a) g(t) = cost * sin t Cost

A: The unit tangent vector t is  (dr/dt)/|dr/dt| . Here r(t) =g(t)

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Q: 2) Choose your favorite curve and apply the formula x'(t)y"(t) – y' (t)æ" (t) K(t) = (V(a(t))? +…

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j+k.

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Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.

Q: Pind the curvature x of the curve given by 7(()- (V2)i+ (e)j+(e)k, at the point P(0, 1, 1),

A: Curvature K = |r' x r"|/|r'|^3

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A: we will find the required solution.

Q: Find the radii of curvature and torsion at a point of the curve r? + y2 = a², x² – y? = az. %3D %3D

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Q: 1.. Plot the cardioid curve (0)=2+2 sin then compute all angles for which the slope of the tangent…

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Q: () 4. For the curve y=c cosh show that p= 5. Find the curvature at (1,-1) on the curve y= x - 3x+1.…

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Q: Find the curvature of the function y = sin(3x) at x = 0.5. Find the radius of curvature at x = 0.5.…

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