Pls help ASAP in all 10.11.Find a unit normal to the vector d = [3, −4]^=²²]b)^²=²]=[]b) ñ = ²,¹ <)ˆ = [ƒƒ ‚³]_‹)ñ= [›}]5Which of the following functions will have a horizontal asymptote?2x²+1x²+5a) n [a) y =b) y =3x4+x4x³ +5c) both a and bd) neither a nor b

Answered: 10. 11. Find a unit normal to the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

Pls help ASAP in all

10.
11.
Find a unit normal to the vector d = [3, −4]
^=²²]
b)^²=²]=[]
b) ñ = ²,¹ <)ˆ = [ƒƒ ‚³]_‹)ñ= [
›}]
5
Which of the following functions will have a horizontal asymptote?
2x²+1
x²+5
a) n [
a) y =
b) y =
3x4+x
4x³ +5
c) both a and b
d) neither a nor b

Expert Solution

Step 1: "Introduction to the solution"

10) Given that $d with rightwards arrow on top equals left square bracket 3 comma 4 right square bracket$ .

We have to find the unit normal vector to the vector $d with rightwards arrow on top.$

Note that $open vertical bar d with rightwards arrow on top close vertical bar equals square root of 3 squared plus open parentheses negative 4 close parentheses squared end root space equals square root of 25 equals 5$

Then, $d with bar on top space equals fraction numerator d with rightwards arrow on top over denominator open vertical bar d with rightwards arrow on top close vertical bar end fraction equals open square brackets 3 over 5 comma negative 4 over 5 close square brackets$

So, $n with hat on top$ $equals open square brackets negative 3 over 5 comma 4 over 5 close square brackets rightwards double arrow$ option(a) is Correct.