3. Given r(t) et sin t i + e' cos tj + v2e'k, a) find the arc length function for the curve measured from the point P(0, 1, v2) in the direction of an increasing t, then b) re-parameterize with respect to arc length, and c) find the point 4 units along the curve in the direction of increasing t from P.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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3. Given r(t) = e' sin t i + e' cos t j + v2e'k, a) find the arc length function for the curve measured from the
point P(0, 1, v2) in the direction of an increasing t, then b) re-parameterize with respect to arc length, and c) find
the point 4 units along the curve in the direction of increasing t from P.
Transcribed Image Text:3. Given r(t) = e' sin t i + e' cos t j + v2e'k, a) find the arc length function for the curve measured from the point P(0, 1, v2) in the direction of an increasing t, then b) re-parameterize with respect to arc length, and c) find the point 4 units along the curve in the direction of increasing t from P.
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