Question: Let K be the splitting field of X3 – X - 1 over Q. Find all the subfield of K containing Q. Express your answer.

## Prepare a research paper on two independent variablesPrepare a research paper on two independent variables |

## Consider the following lppConsider the following LPP Without using artificial variable(s), solve the given LPP (do not solve the dual problem). Write the dual of the above problem. |

## Determine the largest possible domainWhat is the cost of manufacturing before any units are produced |

## Questions on ferris wheelPrepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area. |

## Graphical methodFormulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method. |

## Find relative maxima and minimaThe first or second derivative test to show that the critical value is a relative maxima or minima. |

## System of equationsEvaluate which equations are under-identified, just-identified, and over-identified. |

## Find the area between them bounded by the given valueThe following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x. |

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