# Macbeth final essay

May 5th, 2015
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Circumference of Cylinder Height of Point D Height of Point E Equation of the resulting Sinusoidal Equation

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Macbeth final essayChapter 06 Task By: Kezia Massey & Stephen Le CylinderRadius of CylinderCircumference of CylinderHeight of Point DHeight of Point EEquation of the resulting Sinusoidal Equation1.) Cookie JarC= 2 r = 19.8 cm2 = 3.15 cm19.8 cm6.9 cm3 cmA= max-min2= 6.9-32=5.4Equation of Axis= max + min2= 6.9 + 32= 8.4k = 360p= 36019.8= 18.1Resulting Equation=y= 5.4cos(18.1x) + 8.42.) Water BottleC= 2 r = 21.6 cm2 = 3.4 cm21.6 cm12.7 cm8 cmA= 12.7-82=8.7Equation of Axis= = 12.7 + 82= 16.7k = 36021.6= 16.6Resulting Equation=y= 8.7cos(16.6x) + 16.73.) Face Scrub BottleC= 2 r = 11.4 cm2 = 1.8 cm11.4 cm7 cm1 cmA= 7-12=3Equation of Axis= = 7 + 12= 4k = 36011.4= 31.5Resulting Equation=y= 3cos(31.5x) + 4a) The relation between the circumference of the cylindrical object and the sinusoidal function is that the circumference acts like a period since it completes a whole cycles, therefore given the period we subtract it from 360 to provide us with the k of the equation. Therefore, circumference is indirectly related to the horizontal stretch and compression of the sinusoidal function. b) The ch

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