Pyramid 1181
Preview $$U_{1181}(x, y) = \frac{2 x}{\left(1 - y\right)^{2}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{4}} + 1}$$
Pyramid 1182
Preview $$U_{1182}(x, y) = \frac{2 x}{\left(1 - y\right)^{3}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{6}} + 1}$$
Pyramid 1183
Preview $$U_{1183}(x, y) = \frac{2 x}{\left(1 - y\right)^{4}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{8}} + 1}$$
Pyramid 1184
Preview $$U_{1184}(x, y) = \frac{\frac{2 x}{\left(1 - y\right)^{2}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{4}} + 1}}{1 - y}$$
Pyramid 1185
Preview $$U_{1185}(x, y) = \frac{\frac{2 x}{\left(1 - y\right)^{2}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{4}} + 1}}{\left(1 - y\right)^{2}}$$
Pyramid 1186
Preview $$U_{1186}(x, y) = \frac{\frac{2 x}{\left(1 - y\right)^{2}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{4}} + 1}}{\left(1 - y\right)^{3}}$$
Pyramid 1187
Preview $$U_{1187}(x, y) = \frac{\frac{2 x}{1 - y} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{2}} + 1}}{\left(1 - y\right)^{3}}$$
Pyramid 1188
Preview $$U_{1188}(x, y) = \frac{\frac{2 x}{\left(1 - y\right)^{3}} + \sqrt{\frac{4 x^{2}}{\left(1 - y\right)^{6}} + 1}}{\left(1 - y\right)^{3}}$$
Pyramid 1189
Preview $$U_{1189}(x, y) = \frac{\left(- 2 x \left(y + 1\right) - \sqrt{- 4 x \left(y + 1\right) + 1} + 1\right)^{2}}{4 x^{4} \left(y + 1\right)^{4}}$$
Pyramid 1190
Preview $$U_{1190}(x, y) = \frac{\left(- 2 x \left(y + 1\right)^{2} - \sqrt{- 4 x \left(y + 1\right)^{2} + 1} + 1\right)^{2}}{4 x^{4} \left(y + 1\right)^{8}}$$
Pyramid 1191
Preview $$U_{1191}(x, y) = \frac{\left(- 2 x \left(y + 1\right)^{3} - \sqrt{- 4 x \left(y + 1\right)^{3} + 1} + 1\right)^{2}}{4 x^{4} \left(y + 1\right)^{12}}$$
Pyramid 1192
Preview $$U_{1192}(x, y) = \frac{\left(1 - y\right)^{4} \left(- \frac{2 x}{1 - y} - \sqrt{- \frac{4 x}{1 - y} + 1} + 1\right)^{2}}{4 x^{4}}$$
Pyramid 1193
Preview $$U_{1193}(x, y) = \frac{\left(1 - y\right)^{8} \left(- \frac{2 x}{\left(1 - y\right)^{2}} - \sqrt{- \frac{4 x}{\left(1 - y\right)^{2}} + 1} + 1\right)^{2}}{4 x^{4}}$$
Pyramid 1194
Preview $$U_{1194}(x, y) = \frac{\left(1 - y\right)^{12} \left(- \frac{2 x}{\left(1 - y\right)^{3}} - \sqrt{- \frac{4 x}{\left(1 - y\right)^{3}} + 1} + 1\right)^{2}}{4 x^{4}}$$
Pyramid 1195
Preview $$U_{1195}(x, y) = \frac{4 y^{4} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)}{y} - \sqrt{- \frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + 1} + 1\right)^{2}}{x^{4} \left(1 - \sqrt{1 - 4 y}\right)^{4}}$$
Pyramid 1196
Preview $$U_{1196}(x, y) = \frac{64 y^{8} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{2 y^{2}} - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{y^{2}} + 1} + 1\right)^{2}}{x^{4} \left(1 - \sqrt{1 - 4 y}\right)^{8}}$$
Pyramid 1197
Preview $$U_{1197}(x, y) = \frac{1024 y^{12} \left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{4 y^{3}} - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + 1} + 1\right)^{2}}{x^{4} \left(1 - \sqrt{1 - 4 y}\right)^{12}}$$
Pyramid 1198
Preview $$U_{1198}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3} \sqrt{4 x + 1}}{8 y^{3}}$$
Pyramid 1199
Preview $$U_{1199}(x, y) = \frac{64 y^{16} \left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{2 y^{4}} - \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{y^{4}} + 1} + 1\right)^{2}}{x^{4} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{8}}$$
Pyramid 1200
Preview $$U_{1200}(x, y) = \frac{1024 y^{24} \left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{4 y^{6}} - \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{2 y^{6}} + 1} + 1\right)^{2}}{x^{4} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{12}}$$
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