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I need help with these problems, Please show all work so I can trace the steps. 6. (10 pts) A box with no top is

I need help with these problems, Please show all work so I can trace the steps.

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6. (10 pts) A box with no top is to be fashioned from a 45 inch by 24 inch piece of cardboard by cutting out congruent squares from each corner of the cardboard and then folding the resulting tabs. Let x denote the length of the side of the square which is removed from each corner. (a) Find the volume V of the box as a function of x. Include an appropriate applied domain. (b) Using a graphing calculator or otherwise, approximate the dimensions of the box with maximum volume. What is the maximum volume? Snowers can be stated willget additional world 7. (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and state your final conclusion. x+4 2 = 0 x+3 x2 +4x +3

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