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…

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Q: 1,319929 439= (は

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

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Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

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Q: (b) Show that i³i is real, even though i or 3i is not.

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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: Give the conjugate of 14i

A: Topic - complex number

Q: Give the conjugate of 13 – 10i

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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: 27 | 25n+1 + 5n+2, (d))43|6"+2 + 72n+1.

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: iF Uo=c Unı%=D(2n+2)Un +2 n+ Find Un

A: Use the given relation.

Q: Write the following complex numbers in exponential form. The principal value of ал the argument…

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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: (-7– 9i) + (10 + 10¿)

A: To simplify the given two complex number, add real part of first one with real part of second  and…

Q: (-11 – 6i) + (5 – 8i)

A: From the given problem:   -11-6i+5-8i   From the concept of the grouping of real and imaginary part:…

Q: Evaluate -1 8i+9 i=1n²

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Q: Simplify the following expressions: (5-j6)-(2+j8) (-3+ j4)(5-j)+(4-j6) (a)

A: To Simplify: (a) (5-6j)-(2+8j)(-3+4j)(5-j)+(4-6j). As per policy, only the first part is answered,…

Q: Let (zn)n≥1 be a geometric progression of complex numbers, and suppose that z3 = −1 and z5 = 7. Find…

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Q: Letu= -4i+9;,and W=-i-4s Find GW+ Zv

A: This question is related to vectors, we will use vector addition and subtraction rules to solve the…

Q: Perform the operation and write the result in s (6+4i)(6-4i)

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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: Question 12 > Let a = - 6ỉ – 73 and b = – 47 – 33. Find ä · |

A: In this,we find dot product of given vectors a& b.

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

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Q: Determine (1+4i)(5+i)

A: We need to multiply two complex numbers 1+4i5+i Now,  i=-1⇒i2=-1 We will use this in the calculation…

Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

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Q: N=3 3 and4i are zero

A: Explanation and solutions is given below....

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

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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).

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Q: What is the 4th roots of z=1+i

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

A: To write in standard form.

Q: Find the 5 fifth roots of -4+5i.

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Q: -1+5i -i

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

Q: Solve for x. :1 х — 7 Enter an exact answer (not a decimal). x + 8 -

A: To solve for x8x-7-7x+8=1