Find wa+bi : = √ 60i-11 W || W where a and b are real numbers.

Q: Evaluate √x/2 6sinx(cosx+1) do

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Q: Find all the values of x so that x4 = - 8 (i - √3)

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Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: (5 – 6i) – (3 – 2i)

A: We have to perform the subtraction between two complex numbers.

Q: Simplify the expression to a + bi form: (-8 — 2:) + (8 — і)

A: (- 8 - 2i) + (8 - i) = (- 8 + 8) + (- 2i - i) = 0 + (- 3)i  So, a = 0 &, b = - 3

Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

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Q: Let z = 1+ i, simplify and write final result as x + iy.

A: The given data is: z=-1+i To simplify z5z¯8 and write the final result as x+iy.

Q: . Subtract (3 – 2i) from (-2 + 3i), and express in a + bi form.

A: Here we sutract one complex no . to another complex no.

Q: 2. DIVIDE (2+5i) by (4-i)

A: Perform division

Q: Express the following in the form a + ib (for real a and b): 1 (a) 6+2i (b) (-+ i)¹ (c) i², i³, i4,…

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Q: Determine the values of (√3+ i)6 and (1 - i)8, writing your answers in a + iy form.

A: In this problem we have to determine the values of  and .

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: What is the converse of the following statement? If 2x = 4 then x = 2. If x # 2, then 2x ‡ 4. If x =…

A: (i) statement is if 2x=4 than x=2

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: What is the complex expression of the square root of (15+j20)?

A: Explanation of the answer is as follows

Q: 1 da (2a + 1) +1) 1. 8.

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Q: b. 3+V5-x 3I

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Q: Evaluate (2i + 1)2¹ in a closed form. Justify your answer.

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Q: If z1 =3 - 5i and z2 =26 -2i, find z1 +z2 and z1 -z2.

A: Given that, z1 = 3 - 5i z2 = 26 -2i We have to find z1 + z2 and z1 - z2.

Q: Simplify: V81m'6n* . Assume all variables are positive real numbers. a. m? /3n

A: We need to simplify the expression,          81m16n48