Question

Asked Nov 4, 2019

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 =

Step 1

Consider the given curves and points.

Step 2

Put x = 0 and solve for t

0 = t^{4} – 1

t^{4} = 1

t = 1

Similarly, for y and z values:

t = 1

Step 3

Now differentiate of x, y and z w...

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