Gabriels Horn(endeligt rumfang, uendelig overfladeareal)en.wikipedia.org/wiki/Gabriel's_HornFunktionen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiVRIjFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYmLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnRjIvRjZRJ2l0YWxpY0YnRj5GMkZBLyUubGluZXRoaWNrbmVzc0dGMS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZHLyUpYmV2ZWxsZWRHRjRGMkY1 drejes rundt om x-aksen.Ser p\303\245 omr\303\245det: x>1.Definition af funktionenLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==PkkiZkc2ImYqNiNJInhHRiRGJDYkSSlvcGVyYXRvckdGJEkmYXJyb3dHRiRGJCokOSQhIiJGJEYkRiQ=Graf for funktionen (2D)Grafen falder fra v\303\246rdien 1 ned mod 0LUklcGxvdEc2IjYmLUkiZkdGJDYjSSJ4R0YkL0YpOyIiIiIiJi9JInlHRiQ7IiIhRixJKmdyaWRsaW5lc0dGJA==Graf for omdrejningslegemet (3D)QyQtSSV3aXRoRzYiNiMmSShTdHVkZW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNJKkNhbGN1bHVzMUdGJSEiIg==LUkzVm9sdW1lT2ZSZXZvbHV0aW9uRzYiNiwtSSJmR0YkNiNJInhHRiQ7IiIiIiImLy5JJWF4aXNHRiRJK2hvcml6b250YWxHRiQvLkkxZGlzdGFuY2Vmcm9tYXhpc0dGJCIiIS8uSStzaG93dm9sdW1lR0YkSSV0cnVlRyUqcHJvdGVjdGVkRy8uSShzaG93c3VtR0YkSSZmYWxzZUdGOS8uSStzaG93cmVnaW9uR0YkRj0vLkknbWV0aG9kR0YkSSltaWRwb2ludEdGJC8uSSpwYXJ0aXRpb25HRiQiIicvLkknb3V0cHV0R0YkSSVwbG90RzYkRjlJKF9zeXNsaWJHRiQ=Rumfang af omdrejningslegemetRumfang beregnes:KiZJI1BpRyUqcHJvdGVjdGVkRyIiIi1JImZHNiI2I0kieEdGKCIiIw==LUkkaW50RzYiNiQqJkkjUGlHJSpwcm90ZWN0ZWRHIiIiLUkiZkdGJDYjSSJ4R0YkIiIjL0YtO0YpSSlpbmZpbml0eUdGKA==Rumfanget er alts\303\245 endeligt. Rumfang = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIuRidGMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGS0YyRjQ=Gabriels horn kan alts\303\245 rumme en vis m\303\246ngde v\303\246ske.Overfladeareal af omdrejningslegemetOverfladeareal beregnes:LCQqKEkjUGlHJSpwcm90ZWN0ZWRHIiIiLUkiZkc2IjYjSSJ4R0YpRiYtSSVzcXJ0RzYkRiVJKF9zeXNsaWJHRik2IywmRiZGJiokLUklZGlmZkdGJTYkRidGKyIiI0YmRiZGNg==LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooSSNQaUdGJSIiIi1JImZHRic2I0kieEdGJ0YsLUklc3FydEdGJDYjLCZGLEYsKiQtSSVkaWZmR0YlNiRGLUYwIiIjRixGLEY5L0YwO0YsSSlpbmZpbml0eUdGJQ==Overfladearealet er alts\303\245 uendeligt!Hvis Gabriels horn skal males, kr\303\246ver det uendelig meget maling!