E 107- Draw the curve y = 4/(16 + 2ax - ay)^(2/3) + (64ax)/(16 + 2ax - ay)^(2/3), for a = 1 and a = -1.
The curve is symmetric with respect to the...
E 107- Draw the curve y = 4/(16 + 2ax - ay)^(2/3) + (64ax)/(16 + 2ax - ay)^(2/3), for a = 1 and a = -1.
The curve is symmetric with respect to the XX' axis. For a = 0 and a = k, the curve is reduced to the XX' axis. The curve has a parabolic branch along the XX' axis. The curve has a turning point at the origin with a tangent line y = 0. The curve intersects the XX' axis at (0,0) and the YY' axis at (0,±4^(2a)/2). For a > 0, the curve is real for x ≤ 3a/4, being the line x = 3a/4 tangent at (3a/4,±2a). For a < 0, the curve is real for x ≥ -3a/4, being the line x = -3a/4 tangent at (-3a/4,±2a). a) All afirmacoes are correct. b) Only afirmacoes 1, 2, 3, and 4 are correct. c) Only afirmacoes 1, 2, 5, and 7 are correct. d) Only afirmacoes 2, 3, 4, and 5 are correct.
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