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2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by x₂ = 3 + costu wol y2 = 1 + sin tuol 0st≤ 2π loinaq odious.o.I fainiog noisillos noitusta og toile

2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by x₂ = 3 + costu wol y2 = 1 + sin tuol 0st≤ 2π loinaq odious.o.I fainiog noisillos noitusta og toile

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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1. Consider the curve in parametric form x(t) = t³ - 3t y(t) = 3t²-9 a) Find the point(s) where the tangent line to the curve is horizontal b) Find the point(s) where the tangent line to the curve is vertical c) Find the points where there are more than one tangent line and find the equations of those lines d) Determine the values of t for which the curve in concave up or concave down e) Sketch the graph of the curve on the x- y- plane (0.5) obromial ni ovitevind buos32 yd novig zitomit 1200 S = C brimos bitieq ono lo noitiang pin 2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by S2120 ania + 1 = c( x₂ = 3 + costwol y₂ = 1+ sintuoso 0≤t≤ 2π 1 Somit ama adi is ooni omez seul ve asloirieq odios.o.I fainiog noiaillos noitosta
Transcribed Image Text:1. Consider the curve in parametric form x(t) = t³ - 3t y(t) = 3t²-9 a) Find the point(s) where the tangent line to the curve is horizontal b) Find the point(s) where the tangent line to the curve is vertical c) Find the points where there are more than one tangent line and find the equations of those lines d) Determine the values of t for which the curve in concave up or concave down e) Sketch the graph of the curve on the x- y- plane (0.5) obromial ni ovitevind buos32 yd novig zitomit 1200 S = C brimos bitieq ono lo noitiang pin 2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by S2120 ania + 1 = c( x₂ = 3 + costwol y₂ = 1+ sintuoso 0≤t≤ 2π 1 Somit ama adi is ooni omez seul ve asloirieq odios.o.I fainiog noiaillos noitosta
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