When y y i need help answering this

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 https://www.datagenetics.com/blog/august12014/index.html 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.

to get them into a form without any integrals but when I work with the right side I get to a case where I keep doing the same thing. I would really appreciate some help.

8y and then I solved for y in the area equation and got y=8,000/x then I put that into the other equation and got 20x+64,000/x then took the derivative and got 20-64,000x^-2 and when I solved for the derivative equals 0 I got 40 radical 2 but my teacher said it is supposed to be 20 radical 15, so I do not know where I went wrong.

seen an equation of a circle this is moved in both the x and y direction be converted to a polar equation. For example, I know that the equation of a circle x^(2)+(y-2)^(2)=4 is r=4sin(theta) when converted to polar. Same thing for a translation with the x variable. However, I have never seen, nor do I know how to do, a conversion of a circle with both translations. For example, converting this equation of a circle to a polar equation: (x+3)^(2)+(y-4)^(2)=4. I have no idea how to do such a thing and cannot find any examples of such. Hope you can shed some light on this, Thanks.

achine B. The nature of the machines makes their cost functions differ. Total cost is given by ​C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are​ required? The minimum total cost is achieved when ___ units are produced on machine A and ___ units are produced on machine B