Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

Q: Find the following expressions if a = 3i - 5k, b = i+j3k, and c = 4i + 5j + 3k. 1. a.b: 2. a. c = 3.…

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Q: -11-3,where z€C. Find z in a form a + bi. Given Z+1 A 13- 39i B. 1+ 31 C-1- D.1- 31

A: simplify for the value of z .

Q: 5. Let A = [3 – 2i 4i 1+ 6i], and B 3D [5 +i 2-3і 5]. Find (1 - 2i) A + (3 + 1) В. %3D

A: A=[3-2i 4i 1+6i] B=[5+i 2-3i 5].

Q: Find 1+4i/2-i

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Q: What is the argument of the complex number given by z = (1+ iv3)(1 + i)(cos(0) + isin(0)) Select…

A: We have to find argument.

Q: Express as a product. 2π 2π sin (a - -) - sin (a + 3 3 -)

A: given expression

Q: Simplify. 4 cos a - 4 COS 2π +α 4 • COS 2π +α 2

A: See the attachment.Explanation:

Q: 2. Calculate ob, there a= 2i +10; -12k and b=3i+yf

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Q: Find a · b. a = 9i + j, b= i - 8j + k

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Q: (b) Let A1, A2,, A46 be the roots of (5 – 2i)/46. Show that 46 II ^.A; = = 29 i=1

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Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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Q: Find the following expressions if a 3i – 5k, b = i+j- 3k, and c = 4i + 9j + 3k. a ·b =

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Q: n n+sin an Un ||

A: Power Series: A series of the form ∑n=0∞anz-z0n is called power series about a point z=z0 Note that…

Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

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Q: fe* sin 2xdx.

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Q: sin –9xdx

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Q: Simplify this expression. а. 3D - (D - d) b. i– (2 – 3i2) + iz 4 B+a+ 2B 3 - 2 4 B 3 - С. | 3

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Q: Q.1) Identify a and b after the following is simplified: (6+2i)-(4+3i)

A: Given expression is (6+2i)-(4+3i)

Q: 3 2. If B = 1 show that B? - 5B+7I =0 [-1 2]

A: Given that B=31−12 To show that: B2−5B+7I=0

Q: a = 2i + 3j - k, b = -4i + 5k |

A: Given: a=2i+3j-kb=-4i+5k

Q: 22 21 and 21 in the form x + iy. Let z1 = 17 + 3i and z2 = 20 – 5i. Find 22 21 22 22 21 || ||

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Q: Show complete and orderly solutions. Enclose final answers. 1.Express each in terms of i: (√32 +…

A: Given

Q: 87 cos e do %3D O 4

A: In this question we have to evaluate the Integration.