Find parametric equations for the tangent line at the point (cos(), sin(), ) on the curve...
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Find parametric equations for the tangent line at the point (cos(), sin(), ) on the curve x = cost, y = sint, z=t 57 x(t) = %! y(t)= z(t)= (Your line should be parametrized so that it passes through the given point at t=0). Consider the vector function r(t) = (t, t°, t') Compute r'(t) = ( %3D T(1) = ( r"(t) = ( %3D r'(t) x r" (t) = ( Find parametric equations for the tangent line at the point (cos(), sin(), ) on the curve x = cost, y = sint, z=t 57 x(t) = %! y(t)= z(t)= (Your line should be parametrized so that it passes through the given point at t=0). Consider the vector function r(t) = (t, t°, t') Compute r'(t) = ( %3D T(1) = ( r"(t) = ( %3D r'(t) x r" (t) = (
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