Question Solved1 Answer Find the unit vectors that are parallel to the tangent line to the parabola y = x^2 at the point (4, 16). smaller i-component; larger i-component;

EXLI1Y The Asker · Calculus

Find the unit vectors that are parallel to the tangent line to the parabola y = x^2 at the point (4, 16).

smaller i-component;

larger i-component;

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Solution'- Equation of Parabola its:'{:[y=x^(2)],[(dy)/(dx)=2x.],[(dy)/(dx)|_("at "(4,16))=2xx4=8.]:}:. The equation of tangent at P i's{:[y-16=8(x-4)],[:.y=8x-16.],[:.y=8x" (') equat "]:}:.y=8x i's equation of line parallel to the tangent at (4,16) and parsing through the origin 0 .{:[8x=y","z=0.],[:.(x)/(1)=(y ... See the full answer