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Need help solving these in matlab! Newton's Method 4) Weird intersection In this problem, you will be finding an intersection between a sphere, a paraboloid,

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Newton's Method 4) Weird intersection In this problem, you will be finding an intersection between a sphere, a paraboloid, and a plane. There are multiple solutions; you only need to find one. x + y2 + 2 = 9 x2 + y2 -z = 1 x+y+z = 3 5) LORAN navigation The LORAN (LOng Range Navigation system calculates the position of a boat at sea using signals from fixed transmitters. From the time difference of the incoming signals, it can determine its location at sea. The system of equations generated is that of two hyperbolas, given below 4(x - ca (tz - ,2 4(ys-") c(tz - 4y d -c?(tz - ,2 4(x3 - d.)2 di- c(ty - 12 Where is the speed of light, and 1.tz, and t3 are the times at which the signals arrive from the 3 fixed transmitters. The descriptions of the other variables can be found in the figure below Boat located at (XY) Tower 3 - Tower 1 Tower 2 - di If tower 1 is 3 km from tower 2, and tower 3 is 4 km from tower 2, find the position of a boat at sea that receives signals at ty=0s, tz = 5.72 us, and tz = 8.58 us

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