1) Show that the real part of the function z^(1/2) is always positive.

2) 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.

What is the molarity of silver nitrate in the solution : An aqueous solution is 22.0% by mass silver nitrate, AgNO3, and has a density of 1.22 g/mL. What is the molarity of silver nitrate in the solution? |

Determining complex eigenvalues : Find the solution to the given system for the given initial condition |

Calculate the internal energy change : At constant external pressure (1.2atm), the temperature of 3.25 mol of ideal gas increased from 250K to 305K. Calculate the internal energy change ΔE. |

Define decision variables in linear programming problem : Define decision variables clearly. Formulate this as a linear programming problem and solve it with a detailed description of your output. Please include all output information. |

Question about analytic function proofs : Show 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. |

Agrees to pay for the goods : Shelly offers to sell Jane goods both parties know are stolen. Jane accepts the offer, and agrees to pay for the goods. Later, Jane refuses to accept or pay for the goods. If Shelly sues Jane for breach of contract, what is the probable result? |

How will the investor report this change : Sick Company has owned 10 percent of Maust, Inc. for the past several years. This ownership did not allow Sick to have significant influence over Maust. Recently, Sick acquired an additional 30 percent of Maust and now will use the equity method. .. |

Complex analysis-mobius transformation : Let D = {z: |z| |

Explain routes of radiation exposure for a person : How should a professional emergency responder be concerned about the following routes of radiation exposure for a person on scene and a person downtown? |

## Determining nonlinear equationsIf a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution? |

## Find the vertical asymptote and x-interceptFind the vertical asymptote and x-intercept for a given function - State the placement of the vertical asymptote and x-intercept after the transformation. |

## Find the critical valueAmong 250 latex gloves, 7 percent leaked viruses. Using 95 percent confidence interval tests a claim that Viny gloves have a larger virus leak rate than latex gloves. Basically you need to answer the following questions. |

## Find randomly selected employee earns lessThe monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month. |

## Find the probability of twin birthsased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births |

## Determine the probability that both interviewees are womenThe shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview. |

## Formulate objective function-constraintA firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2. |

## Randomly eulerian graphsRecall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).) |

## Determine the number of turns made by a wheelDetermine the number of turns made by a wheel to cover a well known distance using perimeter of circle. |

## How many girls are there in the hallThe ratio of the number of Chinese boys to the number of Malay boys is 5:3.There are 178 more Chinese boys than Malay boys. How many girls are there in the hall? |

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