Use the definition of the derivative to find the derivative of the following function:

f(x)= x2-3x+2

## Find the percentage of customers spent less than $20Find the percentage of customers spent less than $20 |

## Find another rational number between themOne property of rational numbers is that they are dense, that is, between any two rational numbers is another rational number. Given two arbitrary rational numbers, show how you could find another rational number between them. |

## Classification of finitely generated ableian groupsCan you make a problem and show a complete solution about this topic. |

## Write a polynomial functionwrite a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros. |

## Find the dimensions of the courtthe perimeter of a basketball court is 276'. the length is 40' longer than the width. find the dimensions of the court. |

## What is the net present valueA firm has an opportunity to invest $80000 today that will yield $92000 in one year. if the interest rates are 5% what is the net present value (NPV0 of this interest? |

## What dimensions will give the largest printed areaA poster is to have an area of 250 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.) |

## How many turns must the rollers make to accomplish the moveThe load on this beam and rollers apparatus had to be moved distance 20 units. If the circumgerance of each of the rollers is 0.8 units, how many turns must the rollers make to accomplish the move? |

## Find the optimal solutionFind the optimal solution. What is the value of the objective function at the optimal solution? Note: The answer will be an integer. Please give your answer as an integer without any decimal point. For example, 25.0 (twenty five) would be written .. |

## What is the potential energy for the childWhat is the potential energy for the child just as she is released, compared with the potential energy at the bottom of the swing? How fast will she be moving at the bottom of the swing? |

## Determining vectors and workGiven a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b. Given a= and b = determine whether a and b are parrallel, perpendicular, or neither. |

## Equation of line for given point and slopeGraph the line with a slope -4 passing through the point (3,1). Make sure to use Excel or Word for constructing the graph. |

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