Consider the vector-valued function r\left(t\right)=3t^2i+\left(t-1

chanyingsauu7

chanyingsauu7

Answered question

2021-11-16

Consider the vector-valued function r(t)=3t2i+(t1)j+tk. Write a vector-valued function u(t) that is the specified transformation of r. A horizontal tra
ation one unit in the direction of the positive x-axis

Answer & Explanation

Sue Leahy

Sue Leahy

Beginner2021-11-17Added 13 answers

Step 1
The given function is r(t)=3t2i+(t1)j+tk
Step 2
Here x(t)=3t2,y(t)=t1,z(t)=t
A horizontal tra
ation one unit in the direction of the positive x-axis gives the function x(t) as,
x(t)=3t2+1
Thus, r(t)=(3t2+1)i+(t1)j+tk.

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