Given smooth parametric curve y = |(16t² - 4 3 151²³. where t E R \ 48t + 35 5 7 (7) x = t³-t²- 2t, 1. Solve for the value of t that corresponds to the point P(0, 1) on the curve. 2. Give the (slope-intercept form) equation of the tangent line to the curve at the point P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given smooth parametric curve
= t³ - t² - 2t,
X =
= (16t²_
y =
48t + 35
3
where t E R \
5
(327)
1. Solve for the value of t that corresponds to the point P(0, 1) on the curve.
2. Give the (slope-intercept form) equation of the tangent line to the curve at the point P.
Transcribed Image Text:Given smooth parametric curve = t³ - t² - 2t, X = = (16t²_ y = 48t + 35 3 where t E R \ 5 (327) 1. Solve for the value of t that corresponds to the point P(0, 1) on the curve. 2. Give the (slope-intercept form) equation of the tangent line to the curve at the point P.
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