Consider the curve r (t) = (sin³ (t), cos³ (t), sin² (t)) for 0 ≤ t≤ π/2. Compute the following quantities at the point t = π/4. The unit normal vector N (4) = (−, −, −). (a component in first answer box, y component in second answer box, z component in third) The unit binormal vector B (4) = (−, —, —). (a component in first answer box, y component in second answer box, z component in third) The curvature (1)
Consider the curve r (t) = (sin³ (t), cos³ (t), sin² (t)) for 0 ≤ t≤ π/2. Compute the following quantities at the point t = π/4. The unit normal vector N (4) = (−, −, −). (a component in first answer box, y component in second answer box, z component in third) The unit binormal vector B (4) = (−, —, —). (a component in first answer box, y component in second answer box, z component in third) The curvature (1)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
Question

Transcribed Image Text:Consider the curve r (t) = (sin³ (t), cos³ (t), sin² (t)) for 0 ≤ t≤ π/2. Compute the following quantities at the point t = π/4.
The unit normal vector N (4) = (−, −, −). (a component in first answer box, y component in second answer box, z component in third)
The unit binormal vector B (4) = (−, —, —). (a component in first answer box, y component in second answer box, z component in third)
The curvature (1)
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