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Find a parameterization for the curve shown in the figure below. 140 1.0 -1 -1 デ(t) = where くtく (Note: you need to enter answers in all three answer blanks to receive feedback.)

Find a parameterization for the curve shown in the figure below. 140 1.0 -1 -1 デ(t) = where くtく (Note: you need to enter answers in all three answer blanks to receive feedback.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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How do you set this up the example is confusing 

1le 1,0 -1 -1 7(t) = (1+t)i+ (2+2t)j&, where 0 (Note: you need to enter answers in all three answer blanks to receive feedback.) Solution: SOLUTION We want the straight line segment from (1, 2) to (2, 4). The position vector of (1, 1) is i + 2j and the displacement vector from (1, 2) to (2,4) is i + 2j, so the line has equation 6. 7 = i + 23 + t(i + 23), or x = 1+t, y = 2+ 2t. This passes (1, 2) when t = 0 and (2, 4) when t = 1, so a possible parameterization is 7 = æ(t) + y(t)j = (1+ t)ỉ + (2+ 2t)j, 0<t< 1.
Transcribed Image Text:1le 1,0 -1 -1 7(t) = (1+t)i+ (2+2t)j&, where 0 (Note: you need to enter answers in all three answer blanks to receive feedback.) Solution: SOLUTION We want the straight line segment from (1, 2) to (2, 4). The position vector of (1, 1) is i + 2j and the displacement vector from (1, 2) to (2,4) is i + 2j, so the line has equation 6. 7 = i + 23 + t(i + 23), or x = 1+t, y = 2+ 2t. This passes (1, 2) when t = 0 and (2, 4) when t = 1, so a possible parameterization is 7 = æ(t) + y(t)j = (1+ t)ỉ + (2+ 2t)j, 0<t< 1.
Find a parameterization for the curve shown in the figure below. 140 4,0 F1 -1 F(t) = where <t< (Note: you need to enter answers in all three answer blanks to receive feedback.)
Transcribed Image Text:Find a parameterization for the curve shown in the figure below. 140 4,0 F1 -1 F(t) = where <t< (Note: you need to enter answers in all three answer blanks to receive feedback.)
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