MAT1505-03/04 17f Quiz 2 Print Name (Last, First) __________________ , _______________|____Show all work, including mental steps, in a clearly organized way that speaks for itself. Use proper mathematical notation, identifying expressions by their proper symbols (introducing them if necessary), and use EQUAL SIGNS and arrows when appropriate. Always SIMPLIFY expressions. BOX final short answers. LABEL parts of problem. Keep answers EXACT (but give decimal approximations for interpretation). Indicate where technology is used and what type (Maple, GC).1. a) Find the total positive area between the graphs 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 .b) Repeat for the graphs 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 , where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEmJmxlcTtGJ0YvRjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZJLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnRi8vRjNRJ2l0YWxpY0YnLUY2Ni5RIjxGJ0YvRjJGOUY7Rj1GP0ZBRkNGRUZHRkotRiw2JVEiMUYnRi9GMkYvRjI=.c) Why must LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn satisfy the condition 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for this problem to make sense? Explain.d) Find the numerical value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn (to 6 decimal places) for which the total area is 1.e) Optional. Find the exact value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw== for which the total area is 1.solution1.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInhGJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUkmbWZyYWNHRiQ2KEZPLUYjNictSSNtbkdGJDYkUSIxRidGOS1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl9vLUklbXN1cEdGJDYlRk8tRiM2JC1GaG42JFEiMkYnRjlGOS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRiw2I1EhRidGOS8lLmxpbmV0aGlja25lc3NHRmpuLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmNwLyUpYmV2ZWxsZWRHRj0tRjY2LVEiO0YnRjlGOy9GP0YxRkBGQkZERkZGSEZVRk1GKy1GNjYtUSInRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjExMTExMTFlbUYnRlctSShtZmVuY2VkR0YkNiQtRiM2JS1GaG42JEZbcEY5LyUrZXhlY3V0YWJsZUdGPUY5RjlGaHFGOQ==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzY0LUY2NiYtRiM2KS1JJm1mcmFjR0YkNigtRiw2JVEieEYnRi9GMi1GIzYpLUkjbW5HRiQ2JFEiMUYnL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIitGJ0ZKLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZSLyUpc3RyZXRjaHlHRlIvJSpzeW1tZXRyaWNHRlIvJShsYXJnZW9wR0ZSLyUubW92YWJsZWxpbWl0c0dGUi8lJ2FjY2VudEdGUi8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRltvLUklbXN1cEdGJDYlRkEtRiM2Jy1GRzYkUSIyRidGSkYvLyUrZXhlY3V0YWJsZUdGUi8lMGZvbnRfc3R5bGVfbmFtZUdRKDJEfk1hdGhGJ0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YvRmZvRmhvRjIvJS5saW5ldGhpY2tuZXNzR0ZJLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmJwLyUpYmV2ZWxsZWRHRlItRk02LVEiLEYnRkpGUC9GVEYxRlVGV0ZZRmVuRmduL0ZqblEmMC4wZW1GJy9GXW9RLDAuMzMzMzMzM2VtRictRj82KEZGRmFvRl5wRmBwRmNwRmVwLUZNNi1RIn5GJ0ZKRlBGU0ZVRldGWUZlbkZnbkZbcS9GXW9GXHFGQUZmb0ZKRkovJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZ3BGQS1GTTYtUSI9RidGSkZQRlNGVUZXRllGZW5GZ24vRmpuUSwwLjI3Nzc3NzhlbUYnL0Zdb0Zfci1GTTYtUSomdW1pbnVzMDtGJ0ZKRlBGU0ZVRldGWUZlbkZnbkZpbkZcb0Zjby1GTTYtUSMuLkYnRkpGUEZTRlVGV0ZZRmVuRmduRmluRmRxRmNvRmdwLUYsNiVRJmNvbG9yRidGL0YyRltyLUY2NiYtRiM2Jy1GLDYlUSRyZWRGJ0YvRjJGZ3AtRiw2JVElYmx1ZUYnRi9GMkZmb0ZKRkpGZXFGaHFGZ3AtRiw2JVEqZ3JpZGxpbmVzRidGL0YyRltyLUYsNiVGMUYvRjJGZm9GSkZKRmZvRko=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEmc29sdmVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2KS1JJm1mcmFjR0YkNigtRiw2JVEieEYnRi9GMi1GIzYmLUkjbW5HRiQ2JFEiMUYnL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIitGJ0ZGLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZOLyUpc3RyZXRjaHlHRk4vJSpzeW1tZXRyaWNHRk4vJShsYXJnZW9wR0ZOLyUubW92YWJsZWxpbWl0c0dGTi8lJ2FjY2VudEdGTi8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRmduLUklbXN1cEdGJDYlRj0tRiM2JC1GQzYkUSIyRidGRkZGLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0ZGLyUubGluZXRoaWNrbmVzc0dGRS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zpby8lKWJldmVsbGVkR0ZOLUZJNi1RIj1GJ0ZGRkxGT0ZRRlNGVUZXRlkvRmZuUSwwLjI3Nzc3NzhlbUYnL0ZpbkZicC1GOzYoRkJGXW9GZW9GZ29Gam9GXHAtRkk2LVEifkYnRkZGTEZPRlFGU0ZVRldGWS9GZm5RJjAuMGVtRicvRmluRmpwRj0vJStleGVjdXRhYmxlR0ZORkZGRkZccUZGLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjJGJ0Y5LUkobXN1YnN1cEdGJDYnLUY2Ni1RKyZJbnRlZ3JhbDtGJ0Y5L0Y8USZ1bnNldEYnL0Y/RlovRkFGMS9GQ0ZaL0ZFRjEvRkdGWi9GSUZaL0ZLUSYwLjBlbUYnL0ZORlxvLUYjNictRlA2JFEiMEYnRjlGLy8lK2ZvcmVncm91bmRHUSxbMjAwLDAsMjAwXUYnLyUscGxhY2Vob2xkZXJHRjFGMi1GIzYnLUZQNiRRIjFGJ0Y5Ri9GY29GZm9GMi8lMXN1cGVyc2NyaXB0c2hpZnRHRmJvLyUvc3Vic2NyaXB0c2hpZnRHRmJvLUkmbWZyYWNHRiQ2KC1GLDYlUSJ4RidGL0YyLUYjNiZGam8tRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZdcS1JJW1zdXBHRiQ2JUZkcC1GIzYkRk9GOUZdcEY5LyUubGluZXRoaWNrbmVzc0dGXHAvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaHEvJSliZXZlbGxlZEdGPS1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIRlxxRl5xLUZicDYoRmpvLUYjNiVGT0YvRjJGZHFGZnFGaXFGW3ItRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZbb0Zdb0ZkcEZkci1GNjYtUTAmRGlmZmVyZW50aWFsRDtGJ0Y5RllGZW4vRkFGWkZnbi9GRUZaRmluRmpuRltvRl1vRmRwLUY2Ni1RIjtGJ0Y5RjsvRj9GMUZARkJGREZGRkhGW29GTS1GLDYlUSZldmFsZkYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIiVGJ0YvRjIvJStleGVjdXRhYmxlR0Y9RjlGOUZbdEY5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEmc29sdmVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Ki1JJm1mcmFjR0YkNigtRiw2JVEieEYnRi9GMi1GIzYmLUkjbW5HRiQ2JFEiMUYnL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIitGJ0ZGLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZOLyUpc3RyZXRjaHlHRk4vJSpzeW1tZXRyaWNHRk4vJShsYXJnZW9wR0ZOLyUubW92YWJsZWxpbWl0c0dGTi8lJ2FjY2VudEdGTi8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRmduLUklbXN1cEdGJDYlRj0tRiM2JC1GQzYkUSIyRidGRkZGLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0ZGLyUubGluZXRoaWNrbmVzc0dGRS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zpby8lKWJldmVsbGVkR0ZOLUZJNi1RIj1GJ0ZGRkxGT0ZRRlNGVUZXRlkvRmZuUSwwLjI3Nzc3NzhlbUYnL0ZpbkZicC1GLDYlUSJtRidGL0YyLUZJNi1RIn5GJ0ZGRkxGT0ZRRlNGVUZXRlkvRmZuUSYwLjBlbUYnL0ZpbkZbcUY9LUZJNi1RIixGJ0ZGRkwvRlBGMUZRRlNGVUZXRllGanAvRmluUSwwLjMzMzMzMzNlbUYnRj1GRkZGLUZJNi1RIjtGJ0ZGRkxGYHFGUUZTRlVGV0ZZRmpwRmNwRmdwLUYsNiVRIlhGJ0YvRjItRkk2LVEqJmNvbG9uZXE7RidGRkZMRk9GUUZTRlVGV0ZZRmFwRmNwLUYjNiUtRiw2I1EhRictSSZtc3FydEdGJDYjLUYjNiQtRjs2KC1GNjYkLUYjNiZGQi1GSTYtUSgmbWludXM7RidGRkZMRk9GUUZTRlVGV0ZZRmVuRmhuRmRwRkZGRi1GIzYlRmRwRi9GMkZlb0Znb0Zqb0ZccEZGRkZGXnIvJStleGVjdXRhYmxlR0ZORkY=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEjQW1GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSh1bmFwcGx5RidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNjAtSSNtbkdGJDYkUSIyRidGOS1JKG1zdWJzdXBHRiQ2Jy1GNjYtUSsmSW50ZWdyYWw7RidGOUY7Rj4vRkFGMUZCL0ZFRjFGRkZIL0ZLUSYwLjBlbUYnL0ZORl5vLUYjNiQtRlg2JFEiMEYnRjlGOS1GIzYkLUYsNiVRIlhGJ0YvRjJGOS8lMXN1cGVyc2NyaXB0c2hpZnRHRmRvLyUvc3Vic2NyaXB0c2hpZnRHRmRvLUkmbWZyYWNHRiQ2KC1GLDYlUSJ4RidGL0YyLUYjNiYtRlg2JFEiMUYnRjktRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZdcS1JJW1zdXBHRiQ2JUZhcC1GIzYkRldGOUZqb0Y5LyUubGluZXRoaWNrbmVzc0dGaHAvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaHEvJSliZXZlbGxlZEdGPS1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIRlxxRl5xLUYsNiVRIm1GJ0YvRjItRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZdb0Zfb0ZhcEZjci1GNjYtUTAmRGlmZmVyZW50aWFsRDtGJ0Y5L0Y8USZ1bnNldEYnL0Y/RmpyL0ZBRmpyL0ZDRmpyL0ZFRmpyL0ZHRmpyL0ZJRmpyRl1vRl9vRmFwLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkhGXW8vRk5RLDAuMzMzMzMzM2VtRidGYHIvJStleGVjdXRhYmxlR0Y9RjlGOS1GNjYtUSI7RidGOUY7RmRzRkBGQkZERkZGSEZdb0ZNRistRlM2JC1GIzYlRmByRmdzRjlGOUZnc0Y5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYwLUYsNiVRI0FtRidGL0YyLUY2NiQtRiM2JS1GLDYlUSJtRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkctSSNtb0dGJDYtUSIsRidGRy8lJmZlbmNlR0ZGLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkYvJSpzeW1tZXRyaWNHRkYvJShsYXJnZW9wR0ZGLyUubW92YWJsZWxpbWl0c0dGRi8lJ2FjY2VudEdGRi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnRkEtRko2LVEiPUYnRkdGTS9GUEZGRlFGU0ZVRldGWS9GZm5RLDAuMjc3Nzc3OGVtRicvRmluRmBvLUkjbW5HRiQ2JFEiMEYnRkctRko2LVEjLi5GJ0ZHRk1GXm9GUUZTRlVGV0ZZL0ZmblEsMC4yMjIyMjIyZW1GJy9GaW5GZ24tRmNvNiRRIjFGJ0ZHRkktRiw2JVEqZ3JpZGxpbmVzRidGL0YyRltvLUYsNiVGMUYvRjJGREZHRkdGREZHonly the proper fractional value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn is relevant here, which is the first expression.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Maple knows that this is exactly 1!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JSFHJSFH