**Question: **1. Analyze the flow given by the complex potential f(z) = az, in which a is a nonzero complex constant. Sketch some equipotential curves and streamlines, determine the velocity, and whether the flow has any sources or sinks.

2. Analyze the flow having complex potential f(z) = z^{3}. Sketch some equipotential curves and streamlines.

How many ways can first nine letters of alphabet be arranged : How many different codes can be formed from the lower case letters of the English alphabet, if a code consists of seventeen distinct letters. |

How many different committes can be formed : A committee of four is to be formed on the city council. The first member must be chosen from among seven residents of south side. |

What does an outcome of the given four spins : A carnival game consists of a large wheel with the numbers 1 through 50 spaced equally around the perimeter. A pointer is pivoted at the center and is spun. |

What conclusions are evident from your trend analysis : Ratio Analysis Find the latest financial statements for Coca Cola. What conclusions are evident from your trend analysis? |

Analyze the flow given by the complex potential : Analyze the flow having complex potential f(z) = z3. Sketch some equipotential curves and streamlines. |

Define properties of the equipotential curves : Analyze the flow having potential f(z) = KLog((z - a)/(z - b)) where K is a nonzero real number and a and b are distinct complex numbers. |

Create the case budget for the fourth quarter : Create the case budget for the fourth quarter. The cash budget should be included as an appendix to the written report and should be referenced. |

Sketch some equipotential curves and streamlines for flow : Show that this flow has a source or sink of strength m and a vortex of strength k at both a and b. |

Problem for objective functions : Condider the following constraints - X1 + x2 + x3 = 8 Problem for objective functions - Max z = 2x1 + 3x2 -5x3 |

## Find the crews rowing rate in still watera boat's crew rowed 7.5 miles downstream, with the current, 1.5 hours. the return trip upstream , against the current , covered the same distance, but took 2.5 hours. find the crew's rowing rate in still water and the rate of the current. |

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## What is the measurement of the radius of the pizzaKenneths mother ordered a pizza for his graduation party, The pizza has a diameter of 12 inches. What is the measurement of the radius of the pizza? |

## How many reports should paula produce each weekThe report costs Paula $ 15 to produce, but Paula is able to sell reports for $ 350 each. Of course, any reports not sold by the end of the week have no value. How many reports should Paula produce each week? |

## Choose the best decision maximax and maximin principleChoose the best decision maximax and maximin principle |

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