4) The lemniscate curve (x? + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted that it is "shaped like a figure 8, or a knot, or the bow of a ribbon." Find the coordinates of the four points at which the tangent line is horizontal.

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Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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Q: 1. x? = y + 4 and the x – axis from x = - 1 and x = 3.

A: We have to sketch the function : x2=y+4 and x-aixs from x=-1 and x=3 Let's start.