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[/img][br]Which cylinder needs the least material to build?[br]

What information would be useful to know to determine which cylinder takes the least material to build?[br]

What do you notice about the graph?

What do you notice about the graph?[br]

Write an equation for [math]S[/math] as a function of [math]r[/math] when the volume of the cylinder is [math]452cm^3[/math].[br]

How do its dimensions compare to a cylindrical can with the same volume and a minimum surface area?[br]

What other considerations do manufacturers have when deciding on the dimensions of the cans, besides minimizing the amount of material used?[br]

[size=150]There are many cylinders with a volume of [math]144\pi[/math] cubic inches. The height [math]h(r)[/math] in inches of one of these cylinders is a function of its radius [math]r[/math] in inches where[math]h(r)=\frac{144}{r^2}[/math].[/size][br][br]What is the height of one of these cylinders if its radius is 2 inches?[br]

What is the height of one of these cylinders if its radius is 3 inches?[br]

What is the height of one of these cylinders if its radius is 6 inches?[br]

[size=150]The surface area [math]S(r)[/math] in square units of a cylinder with a volume of 18 cubic units is a function of its radius [math]r[/math] in units where [math]S(r)=2\pi r^2+\frac{36}{r}[/math]. [/size][br]What is the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units?

[size=150]Han finds an expression for [math]S(r)[/math] that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in terms of its radius [math]r[/math] in inches. This is the graph Han gets if he allows [math]r[/math] to take on any value between -1 and 5.[/size][br][img]data:image/png;base64,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[/img][br]What would be a more appropriate domain for Han to use instead?[br]

What is the approximate minimum surface area for the can?[br]

[size=150]The graph of a polynomial function [math]f[/math] is shown. Is the degree of the polynomial even or odd? [br][/size]Explain your reasoning.[br][img]data:image/png;base64,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[/img]

[size=150]The polynomial function [math]p(x)=x^4+4x^3-7x^2-22x+24[/math] has known factors of [math](x+4)[/math] and [math](x-1)[/math].[/size][br]Rewrite [math]p(x)[/math] as the product of linear factors. You can use the applet below to show your work.[br]

[size=150]Which polynomial has [math](x+1)[/math] as a factor?[/size]