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# calc 2640

Question | Answer |
---|---|

X-intercept? | y=0 |

Y-intercept? | x=0 |

Vertical Asymptote? | the limit as X approaches X sub zero of the function = + or - infinity |

Horizontal Asymptote? | the limit as X approaches + or - infinity of the function = L, graph levels off at y=L at ends. |

Oblique Asymptote? | is degree of numerator exceeds the degree of the denominator by one. divide numerator by the denominator. |

Cusp? | If: 1) f(x) is continuous at Xsubzero 2) f(x) has a vertical tangent at x=xsubzero 3) fprime(x)goes to infinity on one side and -infinity on the other. |

Newton's Method | Xn+1 = Xn - (f(Xn)/fprime(Xn)) |

For area, find delta x... | delta x = b-a/n |

inscribed means... | Under the curve, underestimation |

Circumscribed means... | over the curve, overestimation |

Redefine an index for a summation. | (top-bottom)+1 |

summation of K from K=1 to n | n(n+1)/2 |

summation of K^2 from K=1 to n | n(n+1)(2n+1)/6 |

summation of K^3 from K=1 to n | (n(n+1)/2)^2 |

steps to interpret an antiderivative as area | 1) delta x 2) points of subdivision 3) area of Kth rectangle(Ak = f(Ck)(delta x) 4)approimate total area(summation from K=1 to n) 5)Actual area (limit of approx. area) |

Riemann sum | Approx. Area = summation of f(Xk*)(delta Xk)from K=1 to n |

Created by:
burtond