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4) The lemniscate curve (x2 + 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 tang line is horizontal. -1t FIGURE 9 Lemniscate curve: (x² + y²)² = 4(x² – y²).

4) The lemniscate curve (x2 + 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 tang line is horizontal. -1t FIGURE 9 Lemniscate curve: (x² + y²)² = 4(x² – y²).

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 31E: Suppose that the circle with center 0, 0 and radius length r contains the point a,b. Find the slope...
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4) The lemniscate curve (x2 + y² )² = 4(x² – y?) 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. FIGURE 9 Lemniscate curve: (x² + y²)² = 4(x² – y²).
Transcribed Image Text:4) The lemniscate curve (x2 + y² )² = 4(x² – y?) 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. FIGURE 9 Lemniscate curve: (x² + y²)² = 4(x² – y²).
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