(8,-18 Notice that this line touches the curve at exactly one point. We wish to determine where exactly that point is. In the last part of part 6, you found the equation of the green line y+9 If you distribute the expression on the right hand side and solve for y you'll find that it is quadratic in t with z as a parameter. Be VERY careful of signs when distributing That is y(t) = a(r)t² + b(x)t + c(x) where a(x), b(x), and c(x) are expressions that may include z. In this formula, a(x) = b(x) : and c(z) : Each of your lines corresponds to a different value of t. If you imagine each fold for a specific value of z you'll notice that the lowest y value is the point on the curve! In terms of z, what value of t gives the lowest value of y?t =
(8,-18 Notice that this line touches the curve at exactly one point. We wish to determine where exactly that point is. In the last part of part 6, you found the equation of the green line y+9 If you distribute the expression on the right hand side and solve for y you'll find that it is quadratic in t with z as a parameter. Be VERY careful of signs when distributing That is y(t) = a(r)t² + b(x)t + c(x) where a(x), b(x), and c(x) are expressions that may include z. In this formula, a(x) = b(x) : and c(z) : Each of your lines corresponds to a different value of t. If you imagine each fold for a specific value of z you'll notice that the lowest y value is the point on the curve! In terms of z, what value of t gives the lowest value of y?t =
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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Transcribed Image Text:---
(8,-18
Notice that this line touches the curve at exactly one point. We wish to determine where exactly that point is. In the last part of part 6, you found the equation of the green line
y +9 = -
If you distribute the expression on the right hand side and solve for y you'll find that it is quadratic in t with z as a parameter. Be VERY careful of signs when distributing
That is y(t) = a(x)t² + b(x)t +c(x) where a(x), b(x), and c(r) are expressions that may include z.
In this formula, a(x) =
b(x)
and c(x) =
Each of your lines corresponds to a different value of t.
If you imagine each fold for a specific value of z you'll notice that the lowest y value is the point on the curve!
In terms of 2, what value of t gives the lowest value of y? t =
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