Einstein Notation Prove the following identities using Einstein notation, the Kronecker delta and Levi-Civita's symbol: (а) А. (ВхС) -В- (СхА) -ӧ. (Ах В) %3D (b) V(Ā. B) = Ã× (V × B) + B × (V × Ā) + (Ā · V)B + (B · V)à (c) V. (Ã × B) = B · (V × Ã) – à · (V × B)

Q: Find the principal value of (-4/3+4i)

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Q: Find the quotient (1+i) 10 1+/3i A. 10(1+ 3i): B. 16+5i C. 8(/3+i)· D. 6(/3+2i)- E. -8(/3-i). Е.

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Q: transformations of y=-3Ix+5I+6

A: This graph of required function can be obtained by transformations as explained in step 2 and 3.

Q: find all complex Values satisfy ing the given equation ē = 2+1 (-1+i) .

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Q: swer in polar form where r> 0 and

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Q: tan(u + v) = ______

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Q: Write in the form x+yi: 2+3i (a) 1+i -4+3i (b) -2 -i 4i (c) 2-i 1 (d) 2+3i 3- 2i (e) i p+qi (f) r+si

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Q: 275 (0.002 + 0.084 + 0.2912) + j(0.007 + 0.057 + 0.2184) how the j symbol works, please describe in…

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Q: Use index notation to show that: If Vu=0,-v=0, and Vxw=0, then V-[(xv)xw]=w[(v)-(4D)V]

A: Given:  .To prove: .Properties of the Dot and vector products:i) ii) iii) iv)

Q: 3/2 <(のーメ)CK dx 2. 2.

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A: Solve:

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A: 1. logi(2i)=logi(2)+logii=logi2+1This is the required simplest form.

Q: Example. Compute z/w where z = 2 + 2i and w = 1 – 2i.

A: To compute z/w where z=2+2i and w=1-2i

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Q: (1+i)°= %3D 8 0 -8 O 8i O -8i O

A: Using the following formulas (1) xmn=xmn (2) i2=-1 (3) a+b2=a2+b2+2ab (4) a+b3=a3+b3+3ab2+3a2b

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Q: Verify that (¹)² = i²i but that (i²)i ‡ į²i ("i" imaginary unit)

A: What is Complex Number: A real number and an imaginary number are effectively combined to create a…

Q: find the principal value of (3-3i)^3i

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Q: In a +bi form, find all values of (3i). Which is the principal value of (3i)i?

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Q: #5

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Q: WEBSTER'S METHOD Problem Set Region A B C D E Total Population 56,056 84,076 112,101 168,152 140,127…

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Q: Sin n cos

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Q: Express each one of the following in the standard form a + ib. 1 (1+ i)? (iii) 3 - i (3+4i 1 + 1- 2i…

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