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I have a calculus question find the limit as as x approaches from the right side of x x


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3.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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4.I am looking for a tutor to assist me in a Pre Calculus class called Functions and Modeling. I have ...

taken several years off from school and have enrolled in a couple classes. I am looking for someone who will be able to go over basics as well as cover the new material as well.
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6.Hello, I'm getting ready to take a placement test that is done completely online. I really need help scoring high so ...

p scoring high so I can begin calculus in college. I have one hour to finish the online test. I was looking for someone to help me take this. Would you be able to help me ? Thanks
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8.I have an AP Calculus BC question. How do I do "How accurately must we measure the circumference of a ...

a circle if we need to find the area to within 0.5%?" that problem using differentials.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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