1 ιπ 1s +472, e where n is an integer.

Q: . Expand and simplify the expression dada bile yd betwee (cos+isin)³ Express the answer in standard…

A:

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

A:

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

A:

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.

A:

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: Co xdx (x² + 3)²" -2

A: We can find the answer as below

Q: 43 4 95 Exampi a.) Find 3P1 · b.) Find 31291 ·

A: Given:- q1=0.2  ,q2=0.3 ,q3=0.4, q4=0.5 ,q5=0.6

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: If Z. = - 10 + 5i and Zz = 16 - 8i, determine the following: Z,Z, in exponential form.

A:

Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: Select your answer I-4 21² Simplify: 32-12 62 H|Co 21 x² I-4 3x 2213 (13 out of 20) 1

A: Topic :- Basic algebra

Q: Find 1+4i/2-i

A:

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: Find the singular values 01 202 of 7 A = || 0 -3 |

A: For matrix A, find ATA Next find eigenvalues of matrix ATA  det(ATA)-λ=0 Square root of non-zero…

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

A: given expression

Q: (а) —3 i, (b) (3 – 5i) – (1+ 5i) + i, -3 (c) i i, %3D + ||

A:

Q: ANSWER WITH SOLUTIONS 1. Express 11, 15, 20, 12, and 18 into sigma notation.

A: Using Sigma notation we can express 11 and 15 as follows:

Q: 5 √O r=1+3 cos(30) (-/-) r= - r = 5 sin V r = 0 sin(0) a. + T b. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a 5. 9 Q

A: Consider the polar equations 1.

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

A: The given expression can be expressed as a product :     sin(α−32π​)−sin(α+32π​)…

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

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

A:

Q: If V = 4i + 3k and V2 = -2î + ĵ + 5 k. Find V1 - V2

A: Explanation of the solution is given below...

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) -…

A:

Q: elp answ

A: Here we have Simplify and express in a+ib form,  (8-9i)-(14-4i)

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

A:

Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i

Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

Q: 2. [(x – 1) + 5][(x – 1) – 51]. Write the answer in the standard form

A: To write in standard form.

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: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

A:

Q: -1+5i -i

A: topic- complex numbers  real part is added and subtracted with real part and imaginary part is added…

Q: Express the following complex number in exponential form: (-1 – 5) 3.1 e2.5i 5.1 e4.5i -5.1 e4.5i…

A: