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# Sketch the region enclosed by the given curves. Y = 2/x, y = 8x, y = 1/2 x, x > 0.

**Solution:**

Given equations Y = 2/x, y = 8x, y = 1/2 x, x > 0

Let us graph the linear equations by taking random values for x,y.

Draw the graph for the above three functions.

x(x>0) | 1 | 2 | 3 | 4 |

y=2/x | 2 | 1 | 2/3 | 1/2 |

y=8x | 8 | 16 | 24 | 32 |

y=x/2 | 1/2 | 1 | 3/2 | 2 |

The curve is y= 2/x

The straight blue line passing through the origin is the function of y = ½ x

The straight purple line passing through the origin is the function of y = 8x

The region enclosed between the three functions is shaded as shown above.

## Sketch the region enclosed by the given curves. Y = 2/x, y = 8x, y = 1/2 x, x > 0.

**Summary: **

The sketch of the region enclosed by the given curves. Y = 2/x, y = 8x, y = 1/2 x, x > 0 is as shown above.

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