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Unformatted text preview: Kevin Le – Math 226 SI
§§10.7-11.1: Vector Functions and Space Curves, Arc Length and Curvature, Functions of Several Variables §10.7: Vector Functions and Space Curves
1 Find and equation for the tangent line at on the curve 2. Find a vector function to represent the curve of intersection of the two surfaces
. 3. Determine whether the curve ⃑ 4. A particle is initially at
position of the particle after time t. √ √ . and is smooth. and moves with velocity ⃑ . Find the Kevin Le – Math 226 SI
§§10.7-11.1: Vector Functions and Space Curves, Arc Length and Curvature, Functions of Several Variables §10.8: Arc Length and Curvature
5. Find the length of the helix ⃑ 6. Reparametrize the helix ⃑
in the direction of increasing . √ √ from to . Let with respect to arc length measured from 7. What is reparametrization? §11.1: Functions of Several Variables
8. List some physical examples of functions with two variables and three variables. 9. Sketch both a contour map and a graph of the function 10. Find and sketch the domain of the function . . √ . ...
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