Given: parametric curve H defined by x(t) tan¯¹ t and y(t) = e¹t, where t = R (a) Find the slope of the normal line to H at t = 0. (b) SET-UP the integral which yields the arc length of H from (0, 1) to (7,e¹).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Given: parametric curve H defined by x(t) tan¯¹ t and y(t) = e¹t, where t = R
(a) Find the slope of the normal line to H at t = 0.
(b) SET-UP the integral which yields the arc length of H from (0, 1) to (7,e¹).
Transcribed Image Text:Given: parametric curve H defined by x(t) tan¯¹ t and y(t) = e¹t, where t = R (a) Find the slope of the normal line to H at t = 0. (b) SET-UP the integral which yields the arc length of H from (0, 1) to (7,e¹).
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