an island seen from the south has the same shape as the curve y=f(x)=(2/(x^2+1)-1. There is a treasure hidden in the hill in the east-west direction where the slope of the hill is 10%. a: Explain that these points exist. b: Use the Newton-Raphsons method or fixed-point iteration to find a point where the treasure could be hidden. The point should be given with an estimated error less then 0.0005 (with en explenation).

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an island seen from the south has the same shape as the curve y=f(x)=(2/(x^2+1)-1. There is a treasure hidden in the hill in the east-west direction where the slope of the hill is 10%.

a: Explain that these points exist.

b: Use the Newton-Raphsons method or fixed-point iteration to find a point where the treasure could be hidden. The point should be given with an estimated error less then 0.0005 (with en explenation). 

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