A statue of a town's founder stands in the town park. Nicholas is 16 meters from the statue. The angle of elevation for Nicholas to see the top of the statue is 35°, and Nicholas' eyes are 1.4 meters above the ground. How tall is the statue? Round to the nearest tenth of a meter.

## How much money will be in their travel fund at the endIf they deposit this money at the end of each month into a savings account paying interest at the rate of 6.5%/year compounded monthly, how much money will be in their travel fund at the end of the fourth year? (Round your answer to the nearest ce.. |

## Sketch all the nonisomorphic, simple graphsSketch all the nonisomorphic, simple graphs that have 5 vertices and 5 edges. |

## Determining cauchy-goursat theoremIntegral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2). |

## Determine the probability using normal distributionDetermine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation |

## Fahrenheit and standard deviationThe temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: |

## Find an equation for the planet orbitFind an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis. |

## Integration by parts and substitutionPlease evaluate the following integral using the formula for integration by parts, Please show detailed solution, including substitution(s) used. |

## Determine the transition matrixWe observe the inventory level at the beginning of the next period. Define a period s state to be the period s beginning inventory level. Determine the transition matrix that could be used to model this inventory system as a Markov chain. |

## Compute the flux of the vector fieldCompute the flux of the vector field F= through the surface S given by y=x^2+z^2, 1/4 |

## Proof of continuous functionLet n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable |

## Determining cylindrical coordinatesWhat are the cylindrical coordinates of the point whose rectangular coordinates are x = - 4 , y= 2, and z = 4? |

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