Stewart Calculus 8e 7.Plus Problems1. equal slices of pie by parallel linesGoogleGoogle hits:https://www.google.com/#q=dividing+circle+into+equal+parts+parallel+lineshttp://math.stackexchange.com/questions/539723/how-to-cut-circle-into-n-parts-all-cuts-are-parallel-to-each-other-so-that-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change of variable 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: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Scale up to the actual radius of the circle you want, like 7 for a 14 inch (diameter) pizza pie.3. root difference integralLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYwLUY2NiYtRiM2KS1JJW1zdXBHRiQ2JS1GNjYkLUYjNiYtSSNtbkdGJDYkUSIxRicvRjNRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRkkvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRlEvJSlzdHJldGNoeUdGUS8lKnN5bW1ldHJpY0dGUS8lKGxhcmdlb3BHRlEvJS5tb3ZhYmxlbGltaXRzR0ZRLyUnYWNjZW50R0ZRLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGam4tRj82JS1GLDYlUSJ4RidGL0YyLUYjNiQtRkY2JFEiN0YnRklGSS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGSUZJLUYjNiUtSSZtZnJhY0dGJDYoRkUtRiM2JC1GRjYkUSIzRidGSUZJLyUubGluZXRoaWNrbmVzc0dGSC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZocC8lKWJldmVsbGVkR0ZRLUZMNi1RIUYnRklGTy9GU0YxRlRGVkZYRlpGZm4vRmluUSYwLjBlbUYnL0Zcb1EsMC4zMzMzMzMzZW1GJ0ZJRmdvLUZMNi1RIixGJ0ZJRk9GYHFGVEZWRlhGWkZmbkZhcUZjcS1GPzYlLUY2NiQtRiM2JkZFRkstRj82JUZfb0ZfcEZnb0ZJRkktRiM2JC1GXXA2KEZFRmJvRmRwRmZwRmlwRltxRklGZ29GZXFGX28vJStleGVjdXRhYmxlR0ZRRklGSS8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZlcUZfby1GTDYtUSI9RidGSUZPRlJGVEZWRlhGWkZmbi9GaW5RLDAuMjc3Nzc3OGVtRicvRlxvRmBzLUZGNiRGaW9GSS1GTDYtUSMuLkYnRklGT0ZSRlRGVkZYRlpGZm5GaG4vRlxvRmJxRkVGZXEtRkw2LVEifkYnRklGT0ZSRlRGVkZYRlpGZm5GYXFGZ3MtRiw2JVEmY29sb3JGJ0YvRjJGXHMtRjY2Ji1GIzYpLUYsNiVRJHJlZEYnRi9GMkZlcS1GLDYlUSVibHVlRidGL0YyRmVxLUYsNiVRJmdyZWVuRidGL0YyRmRyRklGSUZmckZpckZkckZJRklGZHJGSQ==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobXN1YnN1cEdGJDYnLUY2Ni1RKyZJbnRlZ3JhbDtGJ0Y5RjtGPi9GQUYxRkIvRkVGMUZGRkgvRktRJjAuMGVtRicvRk5GWC1GIzYnLUkjbW5HRiQ2JFEiMEYnRjlGLy8lK2ZvcmVncm91bmRHUSxbMjAwLDAsMjAwXUYnLyUscGxhY2Vob2xkZXJHRjFGMi1GIzYnLUZnbjYkUSIxRidGOUYvRmpuRl1vRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R0Zpbi8lL3N1YnNjcmlwdHNoaWZ0R0Zpbi1JJW1zdXBHRiQ2JS1JKG1mZW5jZWRHRiQ2JC1GIzYnRmFvLUY2Ni1RKCZtaW51cztGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GZHAtRmlvNiUtRiw2JVEieEYnRi9GMi1GIzYlLUZnbjYkUSI3RidGOUYvRjJGZG8vJStleGVjdXRhYmxlR0Y9RjlGOS1GIzYmLUkmbWZyYWNHRiQ2KEZhby1GIzYlLUZnbjYkUSIzRidGOUYvRjIvJS5saW5ldGhpY2tuZXNzR0Zjby8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zgci8lKWJldmVsbGVkR0Y9LUY2Ni1RIUYnRjlGOy9GP0YxRkBGQkZERkZGSEZXL0ZOUSwwLjMzMzMzMzNlbUYnRi9GMkZkb0ZgcC1GaW82JS1GXHA2JC1GIzYnRmFvRmBwLUZpbzYlRmhwRmdxRmRvRmBxRjlGOS1GIzYlLUZlcTYoRmFvRltxRlxyRl5yRmFyRmNyRi9GMkZkby1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIRldGWS1GNjYtUTAmRGlmZmVyZW50aWFsRDtGJ0Y5L0Y8USZ1bnNldEYnL0Y/Rl50L0ZBRl50L0ZDRl50L0ZFRl50L0ZHRl50L0ZJRl50RldGWUZocC1GNjYtUSI7RidGOUY7RmhyRkBGQkZERkZGSEZXRk1GZ3MtRiw2JVEmZXZhbGZGJ0YvRjItRlxwNiQtRiM2JS1GLDYlUSIlRidGL0YyRmBxRjlGOUZgcUY5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1JKG1mZW5jZWRHRiQ2JC1GIzYnLUkjbW5HRiQ2JFEiMUYnRjktRjY2LVEoJm1pbnVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZpbi1GUDYlLUYsNiVRInhGJ0YvRjItRiM2JS1GWDYkUSI3RidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdGPUY5RjktRiM2JS1JJm1mcmFjR0YkNihGVy1GIzYlLUZYNiRRIjNGJ0Y5Ri9GMi8lLmxpbmV0aGlja25lc3NHRlovJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaHAvJSliZXZlbGxlZEdGPUYvRjJGZW8tRjY2LVEiO0YnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJ0ZNRl1vRjUtRiw2JVEmc29sdmVGJ0YvRjItRlM2JC1GIzYnLUYsNiVRIiVGJ0YvRjItRjY2LVEiLEYnRjlGO0ZgcUZARkJGREZGRkhGYXEvRk5RLDAuMzMzMzMzM2VtRidGXW9GaG9GOUY5LUZTNiYtRiM2JUZXRmhvRjlGOS8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0Zob0Y5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYjNiwtSSNtaUdGJDYlUSJ5RicvJSdpdGFsaWNHRjcvRjBRJ2l0YWxpY0YnLUYsNi1RIj1GJ0YvRjIvRjZGNEY4RjpGPEY+RkAvRkNRLDAuMjc3Nzc3OGVtRicvRkZGVy1JJW1zdXBHRiQ2JS1JKG1mZW5jZWRHRiQ2JC1GIzYmLUkjbW5HRiQ2JFEiMUYnRi8tRiw2LVEoJm1pbnVzO0YnRi9GMkZVRjhGOkY8Rj5GQC9GQ1EsMC4yMjIyMjIyZW1GJy9GRkZjby1GWjYlLUZLNiVRInhGJ0ZORlAtRiM2JC1GXG82JFEiM0YnRi9GLy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGL0YvLUYjNiQtSSZtZnJhY0dGJDYoRltvLUYjNiQtRlxvNiRRIjdGJ0YvRi8vJS5saW5ldGhpY2tuZXNzR0Zeby8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZgcS8lKWJldmVsbGVkR0Y0Ri9GX3AtRiw2LVEiO0YnRi9GMkY1RjhGOkY8Rj5GQEZCRlhGZ29GUi1GSzYlUSZzb2x2ZUYnRk5GUC1GZ242JC1GIzYmLUZLNiVRIiVGJ0ZORlAtRiw2LVEiLEYnRi9GMkY1RjhGOkY8Rj5GQEZCRkVGZ29GL0YvLUZnbjYmLUYjNiRGW29GL0YvLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRi9GKy8lK2V4ZWN1dGFibGVHRjRGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLyUrZXhlY3V0YWJsZUdGNEYvThese are inverse functions! Reflecting a function graph across LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTi1GLDYmUSJ4RidGL0YyRjVGMkY8 inverts it. Changing the first integral to use y as the independent variable, and renaming the dummy variable, leads to the same integral as the second one subtracted away, so the integral must be zero!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. overlapping circle areaJust make a plot.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11. limit problemSee the other worksheet for this problem alone. It is a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW9HRiQ2LVEoJmluZmluO0YnRjIvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC8lJ2l0YWxpY0dRJXRydWVGJy9GM1EnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdGPUYy limit of indeterminant form.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Maple fails. But the obvious u-substitution 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 will enable this to be done.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12. Si 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circle in 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The small right triangle is similar to the large one at the lower right, whose sides are in the ratios: 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. Using these ratios on the small right triangle at the top, with hypotenuse 1, the side 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 so the center has height 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. rocketLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLyUrZXhlY3V0YWJsZUdGNEYv