How do you find two different sets of parametric equations for the given rectangular equation y = 1/x?

Answer 1

#x=t# and #y=1/t#

#x=1/t# and #y=t#

Since #x# and #y# only have one power, you can set #x=t# thus making #y=1/t#
You can make the second set by setting #x=1/t# and #y=t#
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Answer 2

To find two different sets of parametric equations for the given rectangular equation ( y = \frac{1}{x} ), we can express ( x ) and ( y ) in terms of a parameter ( t ).

One approach is to let ( x = t ) and ( y = \frac{1}{t} ). Another approach is to let ( x = \frac{1}{t} ) and ( y = t ).

Therefore, the two sets of parametric equations are:

  1. ( x = t ) and ( y = \frac{1}{t} )
  2. ( x = \frac{1}{t} ) and ( y = t )
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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