APFIVE Vector-Valued Function From Components
A particle’s position is given by the vector-valued function $$p(t)=\langle 2*t+1,3*t-2\rangle$$. Which of the following equations correctly represents the position vector function? (Do not use a calculator.)
| t | x(t) | y(t) |
|---|---|---|
| 0 | 2*0+1 | 3*0-2 |
| ? | … | … |
A
$$p(t)=\langle 2*(t+1),3*(t-2)\rangle$$
B
$$p(t)=\langle 2*t+1,3*t-2\rangle$$
C
$$p(t)=\langle 3*t-2,2*t+1\rangle$$
D
$$p(t)=\langle 2*t-1,3*t+2\rangle$$
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