Search find-an-equation-for-the-collection-of-points-for-which-the-distance-to-is-twice-the-distance-to

# Find an equation for the collection of points for which the distance to is twice the distance to

## Top Questions

area, which i know how to do, im really just struggling with coming up with an equation
View More

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.
View More

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.
View More

three different equations for this problem but I can find and solve for the rest after that.
View More

to the line x = -9.
View More

such that when R is revolved about the line y=k, the resulting solid has the same volume as the solid resulting when R is rotated about the x-axis. Write an equation involving integral expressions that can be used to find the value of k, and then solve for k.
View More

1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics