Unformatted text preview: is a place where you can write your comments. Individuals who do not submit a typed log will have points deducted. It is not guaranteed that every group member will get the same grade. Homework must be stapled to be accepted. 1. Find the unit tangent, unit normal and unit binormal vectors and curvature of r ( t ) = h cos t + t sin t, sin t-t cos t, 3 i at P (-1 , π, 3). 2. At what point does the curve y = ln x have maximum curvature? What is the maximum curvature? What happens to the curvature as x → ∞ ? 3. Find parameteric equations for the line that is tangent to the curve r ( t ) = h cos t, sin t, sin(2 t ) i at t = π 2 . 4. Given r ( t ) = * arctan t, e-2 t , ln t t + , ﬁnd lim t →∞ r ( t ), r ( t ), and Z r ( t ) dt . 1...
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- Fall '08
- Writing, Natural logarithm, ﬁnal assignment solutions, complete written solutions