5. The quotient 20 can be simplified to which of the following? 2+i (1) 10 20 (3) 8–4i (2) 10+10i (4) 6-5i

Q: 1.) (1+ iv3)(3 – 3i) 2.) 4i ( 5 + 5i ) 2/3-2i 3.) 1-iv3

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Q: 10. 9 + 4n = -59 %3D 12. 6x – 5 = 7– 9x olod no -

A: Please refer the attached image for complete solution. THANK YOU.

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

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Q: 5. If Z1 = V3 - 2i, Z2 = -i+1 and Z - 3= 4i – 2. Evaluate (i) Re{3Z -5Z +2Z}} (ii) |(1+ Z, + Z3)(i –…

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Q: Show that: In(-1+/3i) = In2 + 2 ( n + Ti, where n = 0, ±1, ±2, ±3.... 3

A: Show that    ln-1+3i=ln 2+2n+13πi.

Q: 8:36 6) 343 = k° A. Irwin to you 34s 3 8) 512 = (x + 12)² %3D 10) -5 – 4 - (81n) = -2921 3/2

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Q: 8n+5 II (1+i) = k=1

A: To find ∏k=18n+51+i:

Q: 4. (3a* +23a +10a -21a+58)÷(a+7)

A: Given that,    3a4+23a3+10a2-21a+58÷a+7

Q: Suppose z = 5+ –2i and w = -5+ –4i. Then Im(zw) =? %3D

A: zw=(5+ -2i)(-5+ -4i) Implies zw= -25+10i - 20i + 8i2 Implies, zw= -25 - 10i - 8  [since i2= -1 ]…

Q: 10 8 6 4 cp 2 근 -4 9 co 8 10 X

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Q: Question 12 W 1+3r (1 – 1)(3x – 5) A 2 In |1 – 1| - 3 In |3r – 5 + C B 2 In |1 – z - 27 In |3x – 5|…

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Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: (3+Si) – (2– i) = %3D 1+6i o 1-6i o 6+i

A: The given expression is 3+5i-2-i.

Q: 1. 2z – (10 – 2i)z = iz + 3i 3 Ans. 65 24 65

A: This is a problem of complex analysis.

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: Simplify. 4n + 3(n - 5) + 2 n + 6 13-ח 7n- 13 7n+ 6 Done Ysheed in any manner wmour epress enen…

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Q: [ 1 7 1 Let A= 5 x -3 be given. If adj(A)%3D2A, find x. -2 8 4

A: TO FIND VALUE OF 'X' GIVEN adj(2A) = 2A MATRIX 'A' = [1,7,1 ; 5,X,-3 ; -2,8,4 ] PROPERTIES adjA…

Q: 11. (2 + 3) 12. (1 - 5 2 13. 14. 1 + i 2 - 4i 15. 3 + 5i 10 - 5i 16. 6 + 2i

A: follow next step

Q: 3 27c"A (25)0 3 Co 3. 10 15

A: 1.(27 c4d6) 1/3 = (27)1/3 (c4)1/3 (d6)1/3                                  = 3c(c)1/3 d2…

Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr

A: We will solve  the integration.

Q: 49" + 16n – 1 divided by 64, Vn E N+ -

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Q: |5πx 106 (4π10-7) [1+ j]J 4

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Q: 75+4( ((5+1)J-9+2i ) +2(UF-27 +7i

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Q: 3+3i Question: Simplify -1+7i 9 12 25 25 8 1 25 2 21 11 50 25 14 25 25

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Q: 2(22 + 1) lim z-i z2-3iz-2 Select one: O a. 4. O b. 4i. O c. -4. O d. -4i.

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Q: a) Compute the quotient (22 + 2i) / (2 + 2i) b) Suppose z = (In 2) + i (pi/2). Compute e^z

A: " Since you have posted two questions, we will solve first question for you. To get another question…

Q: (6 + 5i)4 Calculate: (5 + 2i)4 O (5.25 + 1.3i) O (4.64 - 4.5i) o (2.54 - 6.2i) O (1.37 + 4.2i)

A: We know, i2=-1

Q: 3 1 If A = show that A²- 5A + 7I = 0. %3D -1 2

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Q: For what value (3) of k must A= / 3 4 3 k 6 have an invers determine A for k=1 2 3D

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Q: If f (3) = 5, g(3) = 2, f'(3) = 4, g'(3) = -4, and h(x) = 18. h'(3)? %3D what is 9(2). O 7 O -1 O…

A: f(3) = 5g(3) = 2f'(3) = 4g'(3) = -4

Q: at is wrong with the following equatlon: 8 + (6/2) = 17 -5 %3D A The symbology is not standard so…

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Q: A (0, 8) В (4, -12) С (9, -1) D (-8, -8) Е (1,-3) F (3, 5) ULLV 1. Identify the component form of…

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Q: 21 3 L 1-6 J Determine all values of a and b so that

A: To determine all values of a and b so that 12a03b-41=-561216. Solution: Two matrix are equal if…

Q: ə+69 てん+!K 2i+2 =4 +69 %3D 2ni +12 =8+69

A: Given the system of equation: x1-x2=2+69=71x1+x2=4+69=732x1+x2=8+69=77 (a) we need to find…

Q: 4. If A = 2i - 3j + k and B = -3i – 4k then A B = F O O

A: We have to choose the correct answer from the given option according to the given condition

Q: 2n+5 00 Zn=1 3n

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Q: a) 10* = 526 %3D = 18 ex b) 3x %3D c) (0,804)0,804

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Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: out of 3 .50 The decimals 0.5 and 0.50 are equivalent because 0.5 can be repres decimal square with…

A: a. The equality is given as 0.5=0.50. The meaning of the equality is shown as , 0.5 states that…

Q: (1+i)= 8 0 -8 O 8i O -8iO

A: " 8i " is the correct answer. Thankyou !

Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

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Q: Can you show the steps we took to get the 1/2 outside the integral (highlighted in yellow)

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Q: 4+3i If Z = 5-3i then Z1 =. ... O (11-27i)/25 O (-11-271)/25 O (-11+27i)/25 O (11+27)/25 O O O O

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Q: 2. (Applies to Standards D2(c), D8(a) and D9(a)) At pressure Patmosphcres, a certain fraction f of a…

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Q: 45. Find x in 32/3 = 9*. %3D A. 2 C. D. B.

A: The given equation, 323=9x

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди ди 2x - y- əx ду

A: Given u=x2coshxy2+1

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.