write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5. √-18

Q: 1. Simplify each expression but rationalizing the denominator. 2 a. 2i+3 b. i+4 (3i + 1)(i – 2) i-3…

A: Solution:To rationalize the denominator Formula:i2=-1(a+ib)(a-ib)=a2+b2

Q: dº (b-10)° (b + 10) Cº

A: To find the interior angles of a parallelogram.

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given: 9-40

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: -49

Q: Let p = - 7– 8i and q = 4 – 7i. Find each of the following. Write your answer in the form a + bi.…

A:

Q: Solve the equation. If there is more than one solution, separate them with a comma. |2 +3 = 15

A: We are solving the first question and for the next question post the question again and alsomention…

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: We know that, -1=i We have, -84

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

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

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: 5-72

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given term is -6-27. To write the given terms in i. Solution: Given term can be written as:…

Q: Which of the following is not a real number? (1) (6 + 2i)(6 – 2i) (2) (–2i)12 (3) (3 + 4i)(-4i) (4)…

A:

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given: 12-90

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

A:

Q: Evaluate (2i)3 a) 8 b) –8 с) -8i d) 8i

A: Let z=(2i)3

Q: If A = -9 + 5i and B = 4 – 3i, find А- В

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Perform the indicated operation: (5+2i) - (3-6i)

A: Introduction: Simply add or subtract the corresponding real and imaginary parts of two complex…

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: ) Find the following expressions if a = 3i – 5k, b =i+j- 5k, and c = 4i + 9j + 3k. %3D 1. а . b %3…

A:

Q: Evaluate -1 8i+9 i=1n²

A:

Q: If A = -2-3i and B = 3+4i. what is A/B

A:

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Consider the provided expression, -75 Write the above expression in terms of i and simplify.

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Our Aim is to simplify the expression given below:-3-28  -(i)

Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

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: Write each of the given numbers in the form a + bi : e3i – e-3i (a) 2i i, (b) 8e(8+) i, (c) e i. +

A:

Q: Perform the indi cated operations and simplify the expression. 2r-r-3 6r - 7r- 3 4r 12 -1 - 12r +9…

A:

Q: 2. Write each of the given numbers in the form a+bi : eAi – e-4i (a) 2i + (b) 5e(6+§) + i, (c) .+-

A: To write the numbers in the form of a+ib

Q: Simplify the expression to a + bi form: (4 – i)(2 – 3i)

A: Given: (4- i) (2-3i)

Q: |Write the following numbers in a + bi form: -2 – 5i (a) -1+ 2i + i, -1 -5 + 3i (b) i, 5i (c) (–5i)³…

A:

Q: Perform the indicated multiplication. Simplify your answer in the form of a + bi. -3i(3-2i)

A:

Q: Write each of the following as re": A) 3 +3i B) 16 – 32i

A: Rectangular to polar conversion is used to write the given equations in  exponential form

Q: EVALUATE: IF A = 3i-j-2K FIND: | (A+B) × (A-B)| | (A x B) | & B = 2i + 3; +!

A: We can solve as follows

Q: Evaluate and simplify the integral +x+3 ad +6xª +9 °

A: This is a problem of integration. Based on the general formula of partial fraction decomposition we…

Q: Find the following products.   (4+7i) 2

A: To solve the given equation.

Q: Write the expression as a compl I) (-8 + 8i) – (2 + 4i)

A:

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: We have to write the term in terms of i: -6436 We know that i=-1 Where, i is imaginary unit.

Q: if A = 5-4i and B = -2+8i Find A+B

A: Given that if A = 5-4i and B = -2+8i Find A+B

Q: Find the absolute value of the following. 1+2i 2-i

A:

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given expression: -2-80

Q: 2. | Write each of the given numbers in the form a+bi : e4i – e-4i (а) 2i (b) 5e(6+) + (c) e

A: The given numbers area)e4i-e-4i2ib)5e6+iπ6c) e9eiπ3

Q: Multiply (4-3i)(4+3i) and write the final answer in the phone a+bi

A: The given data is: 4-3i4+3i To write the final answer in the form of a+ib

Q: Determine if the statement is true or false. 100 100 (4i – 2) = -200 + 4 i i=1 i=1

A:

Q: Let 2. A = 3. Find A-1 and use it to solve AX = B where B= X = where r1= A and r2 =

A: Given matrix is A=2−435 and B=23. First find the A-1. The inverse of A is given by A−1=adjAdetA Now,…

Q: 11. Perform each operation and write your answer in the form a+bi : a. (2+9i)-(5-4i) a. 3+2i b. 4-5i…

A:

Q: add or subtract as indicated. (-3 - 10i) + (2 - 13i)

A: According to the distributive property of multiplication, a(b+c)=ab+ac. Use the distributive…

Q: Solve for the following. 5+61/7+9j a.

A:

Q: 4. Simplify. Write each expression in the form a + bi: a. (5 – 21) + (-3 +7i) b. (5 – 2i) – (-3 +…

A:

Q: Find the following products.   (7 + 2i)(7 - 2i)

A: Our Aim is to find the product of the expression given below:-(7+2i)(7-2i) -(i)

Q: Let a= (; :) 4 -5 2 Find A-l and use it to solve AX = B where B = 3 (:) X = x2 where x1 = and x2 =

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.