Please provide answer and show work, thank you!

13. Your company is making dice (cubes) and speci- fications require that their volume be 8712 cm*. How long should each side be and how much variation can be allowed?In Problems 3-14, find all of the critical points and local maximums and minimums of each function. 3. f(x) = >+8x+7 4. f(x) = 212 - 12x +7 5. f(x) = sin(x) 6. f(x)=1 -67+5 7. f(x) = (x - 1)2(x-3) 8. f(x) = In(x - 6x + 11) 9. f(x) = 2x3 - 96x + 42 10. f(x) = 5x - 2 11. /(x) = 5x + cos(2x + 1)