IM Alg2.2.16 Practice: Minimizing Surface Area
There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where. What is the height of one of these cylinders if its radius is 2 inches?
What is the height of one of these cylinders if its radius is 3 inches?
What is the height of one of these cylinders if its radius is 6 inches?
The surface area in square units of a cylinder with a volume of 18 cubic units is a function of its radius in units where . What is the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units?
Han finds an expression for that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in terms of its radius in inches. This is the graph Han gets if he allows to take on any value between -1 and 5.
What would be a more appropriate domain for Han to use instead?
What is the approximate minimum surface area for the can?
The graph of a polynomial function is shown. Is the degree of the polynomial even or odd?
Explain your reasoning.
The polynomial function has known factors of and . Rewrite as the product of linear factors. You can use the applet below to show your work.
Draw a rough sketch of the graph of the function.
Which polynomial has as a factor?