Search find-an-equation-for-the-line-perpendicular-to-y-x-with-an-x-intercept-of-write-in-y-mx-b-form

Find an equation for the line perpendicular to y x with an x intercept of write in y mx b form


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1.need help with this, need to find an equation for exposed wet area. and then i need to maximize that ...

area, which i know how to do, im really just struggling with coming up with an equation
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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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3.So I am looking at polar and Cartesian and converting between the two. My question is, I have never seen ...

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.
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6.pre calc word problem. It is an XYZ three equation 3 variable problem. I just need help writing the three ...

three different equations for this problem but I can find and solve for the rest after that.
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8.Let R be the region bounded by the graph of y=x^4 and the line y=16. There exists a number k, ...

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

mathematicsalgebra Physics