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is symmetric about the x-axis. (If t gives us the point (x, y), then t will give (x, −y) ). At which x value is the tangent to this curve horizontal? x = At which / value is the tangent to this curve vertical? t = The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area = x y = = 36-1² 1³ - 25t

is symmetric about the x-axis. (If t gives us the point (x, y), then t will give (x, −y) ). At which x value is the tangent to this curve horizontal? x = At which / value is the tangent to this curve vertical? t = The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area = x y = = 36-1² 1³ - 25t

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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Problem 6: Notice that the curve given by the parametric equations

 

is symmetric about the x-axis. (If t gives us the point (x, y), then t will give (x, −y) ). At which x value is the tangent to this curve horizontal? x = At which t value is the tangent to this curve vertical? t = The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area = x y = = 36-1² 1³ - 25t
Transcribed Image Text:is symmetric about the x-axis. (If t gives us the point (x, y), then t will give (x, −y) ). At which x value is the tangent to this curve horizontal? x = At which t value is the tangent to this curve vertical? t = The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area = x y = = 36-1² 1³ - 25t
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