Sherry Becker
2021-11-28
Answered

Represent the plane curve by a vector-valued function. $y=x+5$

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Witheyesse47

Answered 2021-11-29
Author has **14** answers

Step 1

To Determine: represent the plane curve by a vector function .

Given: we have a function$y=x+5$

Explanation: we have a function

$y=x+5$

now let us consider$x=t$ then we have $y=t+5$

so we know that the vector valued function can be expressed by

$r\left(t\right)=x\left(t\right)\hat{i}+y\left(t\right)\hat{j}$

now putting the value in the function then we have

Step 2

$r\left(t\right)=ti+(t+5)j$

$=\u27e8t,\text{}t+5\u27e9$

To Determine: represent the plane curve by a vector function .

Given: we have a function

Explanation: we have a function

now let us consider

so we know that the vector valued function can be expressed by

now putting the value in the function then we have

Step 2

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When

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