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Find the horizontal and vertical intercepts for
r4 + s2 − r s = 16
, if the r-axis is the horizontal axis and the s-axis is the vertical axis.

Respuesta :

adioabiola

Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.

The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

According to the question;

  • the r-axis is the horizontal axis.
  • the s-axis is the vertical axis.

Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).

  • i.e s = 0
  • the equation r⁴ + s² − r s = 16, then becomes;
  • r⁴ = 16
  • Therefore, r = ±2.

Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).

  • i.e r = 0.
  • the equation r⁴ + s² − r s = 16, then becomes;
  • s² = 16.
  • Therefore, s = ±4.

Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

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