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For c = 16, the only point in the solution set is the origin, x = y = 0. A single point is not a curve. Start with the equations that you have derived: \begin {eqnarray*} ye^ {xy}&=&3\lambda x^2,\\ xe^ {xy}&=&3\lambda y^2,\\ x^3+y^3&=&16. \end {eqnarray*} As a first step, show that none of λ,x or y ...

The equation xy = 16 also represents a hyperbola. This hyperbola has its center at (0, 0), and its transverse axis is the line y = x . The asymptotes are the x ‐ and y ‐axes.

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2024年1月25日 · There are 37 points of the form (x,y) with positive integer coordinates that lie below the hyperbola defined by the equation xy = 16. This is determined by finding all positive integer pairs (x,y) such that xy <16. Each value of x contributes a certain number of …

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2016年4月11日 · r^2sin2theta=32 Relation between polar coordinates (r,theta) and rectangular coordinates (x,y) is given by x=rcostheta and y=rsintheta. Hence xy=16 is equivalent to r^2sinthetacostheta=16 or r^2xx2sinthetacostheta=32 or r^2sin2theta=32 graph{xy-16=0 [-10, 10, …

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