47 48 Find the vectors , , and at the given point.rt cos t, sin t, ln cos t 1, 0, 0x 2

Chapter 13, Problem 48

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QUESTION:

47 48 Find the vectors , , and at the given point.rt cos t, sin t, ln cos t 1, 0, 0x 2

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QUESTION:

47 48 Find the vectors , , and at the given point.rt cos t, sin t, ln cos t 1, 0, 0x 2

ANSWER:

Step 1 of 3

It is known that is tangent, so the formula is given by:

It is given that  so differentiate w. r. t.  to get:

The magnitude of the vector  is given by:

The tangent is at point , hence , so it follows:

Hence the value of the tangent vector is .

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