The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 55,000,000 km at perihelion and 61,000,000 km at aphelion. Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis.

How construct a function on r that is differentiable : By imitating the Dirichlet constructions in Section 4.1 of Abbot, understanding Analysis, how construct a function on R that is differentiable at a single point? |

What dimensions will now yield a maximum area : Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing? |

What is the probability at least one does not work : Suppose you just received a shipment of SIX televisions. THREE of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one does not work? |

Cradle to grave means : The term "cradle to grave" means that: |

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

Estimate the true proportion of heads : Question: Estimate the true proportion of heads. Use a 95% confidence interval. Don't forget to check the conditions first. |

Find the height of the window : Find the height of the window x = 24 in. from the center of the base. (Round your answer to one decimal place.) |

Committee of the jse securities exchange : Information that a listed company has incurred exceptionally high losses during a financial year has been disclosed. |

What is the probability that natasha wins the match : Natasha and Allison are playing a tennis match where the winner must win 2 sets in order to win the match. |

## Write the formula for angleWrite the formula for angle A in terms of the angels b and c. Also find a when b=20 and c =155 degrees. |

## Determining pilot off courseA pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees. |

## Find probability that both defective lights will be foundThe probability that both defective lights will be found, A box contains two defective Christmas tree lights that have been inadvertently mixed with eight non-defective lights. If the lights are selected one at a time without replacement |

## Which produces a counter example to her statementWhat is the answer to the range of f(x) = ax + b is the set of all real numbers given that a and b are real numbers and which produces a counter example to her statement |

## Find the length of the broomAssume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet? |

## Find the difference in the interest chargesHe plans to pay the loan back in full in 5 months using his income tax refund. He can go to a finance company that will charge him 18% or to his uncle, who has greed to charge him 9%. Find the difference in the interest charges. |

## Solving first order linear differential equationPlease show me how to solve this first order linear differential equation: |

## What is the approximate probability that the blood testWhat is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result. |

## Find roulette probabilityFind Roulette probability. One option in a roulette game is to bet $18 on red.There are 18 red compartments,18 black compartments,and 2 compartments neither red nor black.If the ball lands on red you get to keep the $18 you paid to play the game |

## Complex variables and applicationsf(z) is defined by the equations: f(z)=1 when y 0, and C is the arc from z=-1-i to z=1+i along the curve y = x^3. The answer is given as 2+3i. |

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