Question

Use the following expressions for left and right sums

left sum | = |
(ft_{0})Δ
+
t(ft_{1})Δ
+
t(ft_{2})Δ
+ +
t(ft_{n −
1})Δt |

right sum | = |
(ft_{1})Δ
+
t(ft_{2})Δ
+
t(ft_{3})Δ
+ +
t(ft_{n})Δt |

and the following table.

t |
0 | 4 | 8 | 12 | 16 |

)t |
25 | 22 | 20 | 18 | 15 |

(a) If * n* = 4, what is
Δ

Δ* t* =

What are

*t*_{0},
*t*_{1}, *t*_{2},
*t*_{3},
*t*_{4}?

t_{0} |
= | |

t_{1} |
= | |

t_{2} |
= | |

t_{3} |
= | |

t_{4} |
= |

What are

* f*(

(ft_{0}) |
= | |

(ft_{1}) |
= | |

(ft_{2}) |
= | |

(ft_{3}) |
= | |

(ft_{4}) |
= |

(b) Find the left and right sums using * n* = 4.

left sum | |

right sum |

(c) If * n* = 2, what is Δ

Δ* t* =

What are

*t*_{0},
*t*_{1},
*t*_{2}?

t_{0} |
= | |

t_{1} |
= | |

t_{2} |
= |

What are

* f*(

(ft_{0}) |
= | |

(ft_{1}) |
= | |

(ft_{2}) |
= |

(d) Find the left and right sums using * n* = 2.

left sum | |

right sum |

Answer #1

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20
18
21
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18
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11
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26
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32
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35
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