Section 5.2 (16, 36, 76, 80, 82)community.wvu.edu/~sbarton/math441/f2013/HW 4 and 5.pdf · END HW 4 Begin HW 5 Section 6.1 (12, 22, 26, 32, 37, 50) Section 6.2 (24, 34, 36, 46) 80.
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Section 5.2 (16, 36, 76, 80, 82)
76. ⟨ ⟩ ∫
∫
(where u = sin2x). Hence projgf = 0.
Section 5.3 (10, 31, 48, 63)
To simplify notation let ⟨ ⟩ (a scalar).
Thus ‖ ‖ ‖ ‖
⟨ ⟩ Now since ⟨ ⟩ = 0 whenever i j all the cross terms go to zero and we get
‖ ‖ ⟨ ⟩
⟨ ⟩ ⟨ ⟩. But ⟨ ⟩ = 1 so
‖ ‖
. But , so adding an unnecessary absolute
value (it’s a square), we get ‖ ‖ | | | |
| |
END HW 4 Begin HW 5
Section 6.1 (12, 22, 26, 32, 37, 50)
Section 6.2 (24, 34, 36, 46)
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