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Social ScienceFind the parametric equations for the tangent line to the curve x=t^4−1, y=t^3+1, z=t^2 at the point (0, 2, 1). Use the variable t for your parameter.x =y =z =
Find the parametric equations for the tangent line to the curve x=t^4−1, y=t^3+1, z=t^2 at the point (0, 2, 1). Use the variable t for your parameter.
x =
y =
z =
Expert Answer
Consider the given curves and points.
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x -1yt1,2 = t2 P =(0,2,1)
Put x = 0 and solve for t
0 = t4 – 1
t4 = 1
t = 1
Similarly, for y and z values:
t = 1
Now differentiate of x, y and z w...
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dx d (-1) dt dt dx 4r dt dy dt dt dy d (P+1) 3t2 dt dz dt dt dz 2t dt
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Calculus
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