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2.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius. If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0. The website explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
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6.Hi, I currently live in Japan and am 14 hours ahead of East Coast time, I am looking for a ...

t tutor over possibly the next 3-4 months as I work through Calculus I & II. My availability would be best for someone able to help on Friday & Saturday late afternoons/evenings as this will be early Saturday & Sunday morning respectively my time. I'm looking for someone fluent and very understandable in English who can thoroughly explain concepts through audio and visuals. I have a very reliable audio/video setup on my end. I'm already a decent math student, but I am taking these classes online as part of a CompSci degree and an in-depth understanding of the concepts and manipulation techniques is very important to me. Thanks! -chance
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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