b) Consider the vector-valued function r\left(t\right)=t^2i+\left(t

Lorenzolaji

Lorenzolaji

Answered question

2021-11-12

b) Consider the vector-valued function r(t)=t2i+(t3)j+tk. Write a vector-valued function s(t) that is the specified transformation of r.
ii, a horizontal tra
ation 2 units in the direction of the negative x-axis

Answer & Explanation

Abel Maynard

Abel Maynard

Beginner2021-11-13Added 19 answers

Step 1
Consider the vector valued function
r(t)=t2i+(t3)j+tk
Step 2
Therefore,
The x axis component t2 (horizontal)
The y axis component is t3
The z axis component is t (vertical)
So, horizontally tra
ate two units in the negative x axis.
Then x axis component will become t22
Hence, the vector valued function after tra
ating in negative x will be
s(t)=(t22)i+(t3)j+tk

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