![]() Let x be the side length of square to cut out. This app is one of the best apps I use because this app's help me when I need help and my homework I just told them they equation and then Nick they explained to me what to write down everything that's why I love there any helps you when you need a little cheat cheat like to make sure you got the right the answer you do your work checker here you get a right or wrong I love this app so much. ![]() What size squares should be cut to create the box of maximum volume? Find the maximum volume that the box can have. Example Problems of OptimizationĪn open box is to be made from a rectangular piece of cardstock, 8.5 inches wide and 11 inches tall, by cutting out squares of equal size from the four corners and bending up the sides. Draw a sketch of the function you used, label your answer on your sketch, and then write your answer in a sentence. 2) Sketch a picture if possible and use variables for unknown quantities.ģ) Write a function, expressing the quantity to be maximized or minimized as a function of one or more variables.Ĥ) If your function has more than one variable, use information from the rest of the problem to solve for this variable in terms of the otherĥ) Determine the domain of the independent variable (the values for which the stated problem makes sense.)Ħ) Determine the maximum and minimum values by using your graphing calculator. ![]()
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