- Given the functions: f(x) = x
^{2}+ 3x and g(x) = -3 + x what is f(x) + g(x) ? - Given the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x) ?
- Given the functions: f(x) = x
^{2}- 9 and g(x) = x-3 what is (f/g)(x) ? - Given the functions: f(x) = a
^{2}- 2ab + b^{2}c and g(x) = -3b^{2}c + 6ab what is (f-g)(x) ? - Given the functions: f(x) = x
^{2}+ 3x and g(x) = -3 + x what is f(g(x)) ?

## Find confidence interval for population standard deviationFind confidence interval for population standard deviation, assuming population has a Normal distribution for the following: College student's annual earnings: 98% confidence, n = 9, Xbar ( sample average) = 3211, and s ( sample std. Dev.) = $897 |

## What is the speed of the airplane at that momentan airplane is flying at an altitude of 7 mi and passes directly over a radar antenna. when the plane is 10 mi from the antenna (s=10) the radar detects that the distance s is chnanging at the rate of 300 mph. what is the speed of the airplane at .. |

## Calculate the number of possible distributionsAssuming k ≤ n, we want to distribute k balls among n bins such that each bin may at most one ball? |

## In a survey of 8000 woman 5431 say they change their nailin a survey of 8000 woman 5431 say they change their nail polish once a week. construct a 99 confidence interval for |

## What is the kernel of phiProve that this is a homonorphism, what is the kernel of phi? And what is phi(R)? |

## Find particular solution to the given recurrence relationConsider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel.. |

## Find the foci for the ellipse given by the eqautionFind the foci for the ellipse given by the equation: |

## Find one resource that relates to algebraInternet is a great resource for many topics including Algebra, there are several links that present information, tutorials, animations and applications related to Algebra. Please do an Internet field trip and find one resource that relates to Alg.. |

## What is the angular speed of the record immediatelyA wad of putty of mass 0.025 kg drops vertically onto the record from above and sticks to the edge of the record. What is the angular speed of the record immediately after the putty sticks to it? |

## How many liters of each solution were mixeda 34% solution is mixed with a 66% solution to produce 216 liters of a 42% solution. How many liters of each solution were mixed? |

## What time period will the projectile be abovea projectile is fired straight up with an initial velocity of 80 feet per second. Its height in feet after t seconds is s = -16t^2 + 80t. During what time period will the projectile be above 96 feet? |

## The mean value theorem occurs at the midpointProve: if f(x) = a2x^2 + a1x +a0 (a2 is not = 0), then the number c whose existence is guaranteed by the Mean Value Theorem occurs at the midpoint of the interval [a,b]. |

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