2. In submarine location problems, it is often important to find a submarine's closest point of approach to a sonobuoy (a sound detector). Suppose that a submarine travels along a parabolic path y = x² and the sonobuoy is at position (2, -0.5). It has been known that the value of needed to minimize the distance between the submarine and the buoy must satisfy the following equation x= 1 1+x² 1 Use Newton's Method to find a solution to the equation = 9 decimal places. 1 1 + x² correct up to

Q: 2. Find the equations of tangents that can be drawn from the origin to the circle x² +y-2x+8y+2=0.

A: Given below the detailed solution

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A: Solution is given below:

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A: Note:As per our guidelines we are supposed to answer only  first 3 sub parts if there are multiple…

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A: We need to prove given theorem.

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A: