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Math 201 (section 3)
September 13, 2004
Complete the derivative review for Wednesday 9/15.
Read:
Section 13.5 (Lines and planes)
Section 14.1 (Vector-valued functions)
Section 14.2 (Derivatives of vector-valued functions)
Skip the integrals on page 896. Note the definition of "smooth"---a smooth curve is one that has a "continuously turning tangent."
Problems to turn in:
Section 13.5: 4, 18, 33.
Section 14.1: 4, 5, 19-24 (matching), 40*. Also:
Problem F*. Consider the "twisted cubic" curve r(t)=(t,t^2,t^3) described in the text's example 7 (p. 889). Is it possible for a plane to intersect this curve in more than three different points? Explain why or why not.
Problem G*. Can you find five different points in 3-space such that all ten of the distances among them are equal ?
Section 14.2: 3, 4, 18, 20, 29 (smoothness), 32*.
(Note: The starred problems may be more substantial or more challenging than the others.)
(end)
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