Determine the equation of the tangent line to the given path at the specified value of t. (Enter your answer as a comma-separated list of equations in (x, y, z) coordinates.) (sin(7t), cos(7t), 2t9/2); t = 1

Step-by-step explanation:

Tangent Line of a Vector Function

We are given a vector function of one variable, let's call it H(t) and it's given by

To compute the equation of the tangent line, we first find the derivative of H

Evaluating in t=1

Evaluating H(1):

The equation of the tangent line is given in rectangular coordinates as

Or, equivalently

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