For problems 4 – 7 find the equation of the tangent line(s) to the given set of parametric equations at the given point. 4. x = t3 + cos(at) y= 4t + sin(2t + 6) at t = -3 5. x = t? + 2t –-1 y=t³ + 7ť² + 8t at t = 1 6. x = 6 – et ³_9t y = t³ + 3t2 – 18t + 2 at (5, 2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For problems 4 – 7 find the equation of the tangent line(s) to the given set of parametric equations at the given point.
4. x = t³ + cos(T:
t)
y = 4t + sin(2t + 6) at t
-3
5. x =
t2 + 2t – 1
y = t3 + 7t2 + 8t at t = 1
-
6. x = 6 – et 3–9t
y = t³ + 3t2
18t + 2 at (5, 2)
Transcribed Image Text:For problems 4 – 7 find the equation of the tangent line(s) to the given set of parametric equations at the given point. 4. x = t³ + cos(T: t) y = 4t + sin(2t + 6) at t -3 5. x = t2 + 2t – 1 y = t3 + 7t2 + 8t at t = 1 - 6. x = 6 – et 3–9t y = t³ + 3t2 18t + 2 at (5, 2)
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