slothmerowersp30znz slothmerowersp30znz
  • 24-05-2018
  • Mathematics
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which set of parametric equations represents the following function y=square root of x+3

which set of parametric equations represents the following function ysquare root of x3 class=

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11beehshahbaz 11beehshahbaz
  • 02-06-2018
The given equation is:

[tex]y= \sqrt{x+3} [/tex]

We have to find, which of the given set of parametric equations given in the options, result in the above equation:

The correct answer would be option A.

The equations in option A are:

[tex]x(t) = 5t \\ y(t)= \sqrt{5t+3} [/tex]

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:

[tex]y= \sqrt{x+3} [/tex]

Therefore, the correct answer is option A
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