A local store has washing machine on sale for $1285 with payment due 3 years from today. Store is willing to discount machine price at annual rate of 7% compounded annually if you buy today. What would you pay today?

## Why the rules for the order of operations are necessaryExplain why the rules for the order of operations are necessary; give examples to back up your explanation. |

## How tall is the beamInside a semicircular tunnel of diameter 20 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.) |

## Is the given equation homogeneous or non-homogeneousIs this equation linear or non-linear? Is the equation homogeneous or non-homogeneous? Is the equation separable or non-separable? Which order the equation is? |

## Pick six binary labeled points in the plane that arepick six binary labeled points in the plane that are linearly seperable by a hyperplaneline. starting with a hyperplane |

## A researcher tested 12 meals and found that average numbera maker of frozen meals claims that the average caloric content of its meals is 800 and the standard deviation its |

## Geometric application problemApplication Problem 1G (Geometric application- See Appendix A in your textbook for formulas of geometric figures) |

## Prove that h is a non-abelian subgroupMath 171: Abstract Algebra, Fall 2014- Assignment 2. Prove that H(Z/pZ) is a non-abelian subgroup of GL3(Z/pZ) for any prime p ≥ 2. Does H(R) have a non-identity element of finite order? Prove or disprove |

## Question about analytic function proofsShow that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant. |

## Find all maximum points and points of inflexionFind all maximum points, minimum points and points of inflexion, using differentiation techniques, for the function f(x) = x3 - 9x2 - 48x + 52. |

## Describe the kernel of the linear transformationDescribe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers. |

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