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# Calculus Final

### Calculus based problems

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

Who are considered the fathers of calculus? | Isaac Newton and Gottfried Liebniz |

What is considered the most important computational discovery in the history of mathematics? | Fundamental Theorem of Calculus |

what is the csc(3π/4)? | √2 |

What is the derivative of tan(x)? | sec(x)² |

What is the intergral of the velocity of a particle? | Its position |

Which part of the FTC states that the processes of integration and differentiation are inverses? | First Part |

Which part of the FTC states that every continuous function has an antiderivitive? | First Part |

What is the sin(5π/3)? | -(√2)/2 |

What is the derivitive of sinx? | cosx? |

Which part of the FTC states that the integral of the rate of change of F(x) on [a,b] yields the net change in F(x)? | Second Part |

What does the intergral of a curve provide? | The area under the curve |

What is another term for derivitive | Rate of Change |

What application of calculus did le'hopital affect? | Limits |

What is the area of a disc? | πr²h |

What does the double derivitive show? | Concavity |

What is the derivite of sec(x)? | sec(x)tan(x) |

Out of left, right, and trapezoidal summation, which tends to be the most accurate? | Trapezoidal |

What is the cos (3π/2)? | 0 |

Created by:
d_drach