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CalculusQ&A Librarya side, by cutting equal squares from theAn open box of maximum volume is to be made from a square piece of material, s = 36 inches oncorners and turning up the sides (see figure).S-2r-TXshown.)(a) Analytically complete six rows of a table such as the one below. (The first two rows areLength andWidthVolume, VHeight, x1[36 2(1)]22(1)11563612[36 2(2)]22(2)= 2048363[36 2(3)]236 2(3)34[36 2(4)]2 =36 2(4)2(5) 5[36 2(5)]2 =3636 2(6) 6[36 2(6)12 -Use the table to guess the maximum volume.V=(b) Write the volume V as a function of x.0 x< 18V=c) Use calculus to find the critical number of the function in part (b) and find the maximum value.V =(d) Use a graphing utility to graph the function in part (b) and verify the maximum volume from the graph.VV350040030002500300200020015001000100500XX154102VV35001500300025001000200015005001000500X15101510stQuestion

Asked Jul 9, 2019

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How can I get the result?

Which is the result?

Step 1

(a)

Complete the table below analytically:

Step 2

From the table, the maximum volume is **3456** cubic units.

Step 3

(b)

As length and width of box is (*s*-2*x* ) = (36-2*x* ) each and height is *x*...

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