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Exam (elaborations)

MAT3700 Assignment 04 Answers Year 2026

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Mathematics III (Engineering)

Assessment 4 Answers

Year 2026




0027 68 628 1800

,
, QUESTION 1



𝑓(𝑡) = 𝑡 2 − 𝑡, (−𝜋 < 𝑡 < 𝜋 ), 𝑓(𝑡) = 𝑡 + 2𝜋

1 𝜋
𝑎0 = ∫ 𝑓(𝑡)𝑑𝑡
𝜋 −𝜋


1 𝜋 2
= ∫ (𝑡 − 𝑡)𝑑𝑡
𝜋 −𝜋

𝜋
1 𝑡3 𝑡2
= [ − ]
𝜋 3 2 −𝜋


1 𝜋3 𝜋2 (−𝜋)3 (−𝜋)2
= [( − ) − ( − )]
𝜋 3 2 3 2


1 𝜋3 𝜋2 𝜋3 𝜋2
= [ − + + ]
𝜋 3 2 3 2


1 2𝜋 3
= .
𝜋 3

2𝜋 2
𝑎0 =
3

……………………………………………………………………………………………………………
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Mathematics III (MAT3700)
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Number of pages
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Written in
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Type
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Subjects

  • mat
  • mat3700
  • 2026
  • assignment 4 2026
  • engineering mathematics
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