Traffic and Highway Engineering - With Mindtap
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ISBN: 9781305360990
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Chapter 15, Problem 7P
To determine
The proof that the offset
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Classify the following DE as Linear or Non-linear.
d'y
1.
dx²
+5 dy
dx
+ 6y = 0
d*y
+ x2
d³y
+ x3
dx
= xex
dx4
dx3
2.
Find the value (or values) of x for which the curve of the given
function has a point of inflection.
1.
y = (x - 1) (x – 6)
2.
y = 2x'-3x2 - 36x + 25
|
y = 3x -4x + 1
|
y = x*- 4x' + 4x?
5. y = 3x – 15x + 20x³ + 3
3.
4.
(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y2 + z? = 21, (1, 4, 2)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
1
4
2
21
Ox - 1 = y - 4 = z - 2
z - 2
21
21
O x- 1 - y – 4
=
1
4
2
x - 1
Y- 4
21
z - 2
21
21
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