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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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