5. a. Simplify the following expression: V-25 + 2i*24+ 4 (i6)² + 19 + 8i| – 4(5+ 6i) v-36

Q: nt is 10 and we add 11 units of the

A: To explain the correct option as,

Q: 6. Evaluate the following and leave your answer in standard form [(1 – 4i)-1 – 2(i + 1)-'[(3 – 4i)(i…

A:

Q: a) z + b) z- w c) w - d) w 2 IN

A: Use the complex number and its conjugate pair concept.

Q: Which of the following expressions is equivalent to 2i? Select all that apply. a (2i) (2)

A: Given: x23 Now check:   a)  x32=x132=x13×2=x23 b) x3=x123=x12×3=x32 c) x2x3=x2-3=x-1 d)…

Q: 1. Perform the indicated operation and 2+3i (1) 4-2i a. 2 b. (- 1 + √√-3) (1)

A:

Q: 17. If A = -5 + 6i and B = 3-5i, find A- B 18. If A = -7 + 12i and B = 9- 31, find A- B

A: 17. A=-5+6i B=3-5i A-B=(-5+6i)-(3-5i)      =-5+6i-3+5i     =-8+11i…

Q: If A = [2 i 9+ 4i 1 3 + 3i then

A: Given: A=2-i9+4i13+3i

Q: Perform the indicated operations. 3. (4−i)(3+2i) / (1−3i) 4. (7−i)+(−3+2i) /  −1−2i

A: 3) (4-i)(3+2i)1-3i = (4)(3)+(4)(2i)+(-i)(3)+(-i)(2i)1-3i= 12+8i-3i-2i21-3i= 12+8i-3i+21-3i=…

Q: Evaluate -1 8i+9 i=1n²

A:

Q: 30 8. Evaluate >² – 3i + 5). - i=8

A:

Q: ) What are the real and imaginary parts of (1+i)exp(-i/4)/W2? ) What are the real and imaginary…

A:

Q: What is the imaginary number of z= -1 +2i ? Select the correct response: O Im (z) = -2 O Im (z) = 2…

A:

Q: 14) 4cot? 0 = 1 + cot? 0 16) 1+3cot? 0 = 4cot? 0 – 2 %3D

A:

Q: Simplify the following expressions: (a) (2+6i)+(9-2i) (b) (8-3i)-(1+ 5i) (c) 3(7–3i)+i(2 +2i) (d)…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Find the following expressions if a = 3i – 5k, b =i+j-5k, and c = 4i + 9j + 3k. 1. a · b = 2. а : с…

A:

Q: Evaluate the given expression for z = 3 - 4i and w = 5 + 2i.

A:

Q: 1. X Asin (ot + B)

A: NOTE:  Hi! Thank you for your question. Since, we only answer one question in case of multiple…

Q: Which of the following is equivalent to 3(5+ 2i)– 2(3– 6i)

A:

Q: A- A-4I2 3 A-4I2= 3. -4 -2 O A-4 Ie -. 3. -4- 2- A-4I2= 4- D not of the above

A:

Q: Simplify the following expression: (5+ 6i) – (8 –3i) -

A: Given: (5+6i)-(8-3i)

Q: 17. Simplify the expression. 3+4i 2+4i 22-4 12 22-47 20 -10-41 20 10+20 20

A: Topic:- complex number simplification

Q: 3. Evaluate the following: (1+7i) а. 2430° b. 12-120° 2i(4-i) 5. с. (4е С. d. (22175°)(6450°)

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: In 00, AB = 12 cm, OE = 4 cm, and OF=4 cm. Find CF. А C type just the number in the box

A: Given : AB = 12cm , OE = OF = 4cm . To find : CF Solution : As we know chord equidistant from center…

Q: 50 Evaluate Σ (5 + 2i) i=1

A: Solution is done in step 2

Q: Evaluate (4i)3 b) –64 a) 64i c) 64 d) –64i إختر أحد الخیارات (c) O (b) O (а) О (d) O

A:

Q: 1. Simplify the following expression: |-25+ 2i457 + 4(i6)5 + [9 + 8i| – 4(5 + 6i)v–36

A:

Q: Express the following in a + ib form a. (4i-7)+(2+i) b. (5-2i)(2+ 2i)

A:

Q: What is the value of (3+2i)³ + (3- 2i)6

A:

Q: 1. Simplify the following expressions а. (213 — 512)? b. i17 – 2i12 + 3i5 + i3 c. 6i31 + 6i24 – 5i14…

A: We have to simplify the given expressions.

Q: The expression 6xi³(-4xi + 5) is equivalent to (1) 2x – 5i (3) -24x2 + 30x i - (2) -24x² – 30xi (4)…

A: Given that: 1) 6xi3(-4xi+5)2) (2+4i)(3-i)

Q: (d) Show that 1 2 cot an 77 n2 - a2 and (-1)" - q²' CSC CT n2

A:

Q: Perform the indicated operation 18) (4 16i)(4 - i)

A: i have provided solution in step2

Q: (2-20 OA =4096i O B. =-4096 OC=256 O D. =4096

A: Given expression, 2-2i8

Q: 6+7i a. 8-i

A:

Q: 2.((6e0.924i)(4+7i)³ )6

A:

Q: Evaluate, N = (3+4i)(1+2i) %3D -0.9382 + 0.6342i

A: Here we have, N=3+4i1+2i taking log both sides,

Q: Find A*. 1- i 7+i 3i A = 6 9 +i |() ? ? ? ? ? A" =

A:

Q: If a = 2 + i, and b = 3 – 2i, what is a/b?

A: Given a=2+i, b=3-2i we find ab

Q: If A=(3+5i) and B = (4+2i) Ахв Find: A + B O (2 + 1.7i) O (-2 - 4.2i) O (3 + 6.2i) O (4 - 2.4i)

A: Given  A = 3 + 5i B = 4 + 2i

Q: to the Question 1 Σ 10 A. 1.17 O B. 0.33 OC.0.11 II

A: Given: ∑n=0∞110n To find the value of the series.

Q: Find AB and BA. 1 0 [0.73 -0.81 A = and B = 0 1 0.86 0.45 Part: 0/ 2

A:

Q: When simplifying 3i23, Tatiana got -3i. Organize the following steps in your checking of Tatiana's…

A:

Q: What is the quotient of 40+40i and 9-8i?

A: Quotient of 40+40i and 9-8i is given by 40+40i9-8i

Q: Simplify а. (5 — 9i) — (2 -бі) + (3 — 4i) b. (6 – 3i) (2 + Si) (6 – 2i) с. (4 - 3і)? 4: (5 2.

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 9) Simplify, then write your result in standard form: (6 + /-9) – 2i + 10 – J16. (a) 16 - 3i (b) 13…

A:

Q: 2. Simplify completely: (a) √1+i√3 (b) (2 + 3i)¹+i

A: 2. To Simplify: (a) 1+i35 (b) 2+3i1+i

Q: If a = 3i +j-k, b = 2i -j+k and c= 5i + 3k , find (2 a +b).c.

A: Given a→=3i+j-k, b→=2i-j+k, c→=5i+3k 2a→+b→=2(3i+j-k)+(2i-j+k)          =6i+2j-2k+2i-j+k…

Q: Evaluate the given expression for z = 3 - 4i and w = 5 + 2i.

A: z=3-4i So, the conjugate of given complex number is z¯=3+4i.

Q: 2.) Evaluate (3-4i)(2 + 5i) 10/60 + 20/-45

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.