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. Let C be the curve with parametric equations V2 - t? x = 3/2 8 1 t+ 2 where t e [0, +). V2 8 (a) The point P 4 is on the curve C. Find the slope of the tangent line to C at P without eliminating 3 the parameter. (b) Find the length of the portion of the curve C that is traced from the point where t = 0 to the point where t = 1. Note: The portion of the curve C that is described above is smooth.

. Let C be the curve with parametric equations V2 - t? x = 3/2 8 1 t+ 2 where t e [0, +). V2 8 (a) The point P 4 is on the curve C. Find the slope of the tangent line to C at P without eliminating 3 the parameter. (b) Find the length of the portion of the curve C that is traced from the point where t = 0 to the point where t = 1. Note: The portion of the curve C that is described above is smooth.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 35E
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. Let C be the curve with parametric equations x = 8 3/2 1 t+ where t e [0, +). V2 8 (a) The point P 4 is on the curve C. Find the slope of the tangent line to C at P without eliminating 3 the parameter. (b) Find the length of the portion of the curve C that is traced from the point where t = 0 to the point where t = 1. Note: The portion of the curve C' that is described above is smooth.
Transcribed Image Text:. Let C be the curve with parametric equations x = 8 3/2 1 t+ where t e [0, +). V2 8 (a) The point P 4 is on the curve C. Find the slope of the tangent line to C at P without eliminating 3 the parameter. (b) Find the length of the portion of the curve C that is traced from the point where t = 0 to the point where t = 1. Note: The portion of the curve C' that is described above is smooth.
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