Find the values of t so that the tangent line to the given curve is contains the given point? given r(t)=2ti+t^2j-t^2k at point (0,-4,4)

t = -2,2

Step-by-step explanation:

The curve equation,

Let at t=a tangent to the curve.

Equation of tangent:  

L(k) = r(a) + k r'(a)

Put t=a

Equation of tangent:

Tangent passing through (0,-4,4)

Therefore,

2a + 2k = 0   ⇒  k = -a

At t = -2,2  tangent line to the curve passing through (0,-4,4)

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step-by-step explanation: