Seen straight from the south, the island has the shape of a graph y = f(x) = 2/(x2 + 1) - 1 The treasure on the island is buried in a place where the slope of the terrain in the east-west direction is 10%. a) Justify the existence of such points b) Use Newton-Raphson's method or fixed point iteration to find a point where the treasure may be buried. The point must be specified with an error less than 0.0005
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Seen straight from the south, the island has the shape of a graph
y = f(x) = 2/(x2 + 1) - 1
The treasure on the island is buried in a place where the slope of the terrain in the east-west direction
is 10%.
a) Justify the existence of such points
b) Use Newton-Raphson's method or fixed point iteration to find a point where the treasure may be buried. The point must be specified with an error less than
0.0005
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