Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10, Problem 48SP
To determine
To find: the unit tangent T and principal unit normal
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For problems 1 - 3 find the unit tangent vector for the given vector function.
1. F(t) = ²7 cos (8t) 7 + sin (8t) k
2. r(t) = (8t, 2 t6, t¹)
3. r(t) = (In (6t), el-t,5t)
For problems 4 & 5 find the tangent line to the vector function at the given point.
4. r(t) = (3+t², t¹, 6) at t = -1.
5. r(t) = (2t, cos² (t), e6t) at t = 0.
For problems 6 & 7 find the unit normal and the binormal vectors for the given vector function.
6. r(t) = (et sin (t), e¹t cos (t), 2)
7. r(t) = 2ti+t² + In (1²) k
13. Find the unit tangent and the principal unit normal vectors at the given points.
r(t) = (- 4 cos 31,4 sin 3t), t ==
3.2.5
Chapter 10 Solutions
Calculus
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