Respuesta :
The given equation is:
[tex]y= \sqrt{x+3} [/tex]
We need to find which set of parametric equations, result in the equation given above. The correct answer is option A.
[tex]x=5t, y= \sqrt{5t+3} [/tex]
From first equation, we can write t =x/5. Using this value in second equation, we get:
[tex]y= \sqrt{5( \frac{x}{5} )+3} \\ \\ y= \sqrt{x+3} [/tex]
Thus the set of equations in option A result in the given relation.
So, the answer to this question is option A
[tex]y= \sqrt{x+3} [/tex]
We need to find which set of parametric equations, result in the equation given above. The correct answer is option A.
[tex]x=5t, y= \sqrt{5t+3} [/tex]
From first equation, we can write t =x/5. Using this value in second equation, we get:
[tex]y= \sqrt{5( \frac{x}{5} )+3} \\ \\ y= \sqrt{x+3} [/tex]
Thus the set of equations in option A result in the given relation.
So, the answer to this question is option A
Finding Parametric Equations Quiz
1. Which set of parametric equations represents the following function? y=√x+3
A. x(t) = 5t
y(t) = √5t+3
2. Identify the parametric equations that represent the same path as the following parametric equations. Select all that apply. x(t)=t y(t)=3t²-4
A. x(t) = 2t
y(t) = 12t² - 4
B. x(t) = -t
y(t) = 3t² - 4
3. (Your question)
C. x(t) = 2cos4t
y(t) = sin6t
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