Sub Express e in a+ib form. a) 0-ei b) 0+e'i c) e-ei c) ete'i Answer O A

Q: 01- find the values of x and y for the following:- c) (2 + 5i)(x + yi) = (3-5i)²

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Q: A True ( B) False

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Q: i) Sin 20easoal-Sin?

A: Use the trigonometric identities,…

Q: (a) VA: VB: (VC: AUC = BUC) → (A = B) (b) A: VB: (C: AUC = BUC) → (A = B) (c) A: VB: (VC: ANC = BNC)…

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Q: (266), - C?) 2)(33) to -(2) 01,

A: The binary system uses 0 and 1 to represent a number . The hexadecimal system uses  0,1, 2, 3, 4, 5,…

Q: 4Sin (o)+ Cosco)-It CosCo) 89.) i+gin(e)-cosco) Şin ce)

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Q: Simplify. 3 9) 3n · 3n 10) (2xy²) '

A: Solution 9: Given 3n.3n3 since we know that a.a=a2   and am.an=am+n So we can write…

Q: Mo bn acar Find B so that H. B"B= chere A = 1- 2 -1 -1

A: The solution is given below:

Q: -) In = O.015 (0.5-4 In) -> -> Io = :00375 + 0.9I," - o.6 ID 0.9 J,-1.6 Io to 00375 = 0 Tp> 2.2 4 J…

A: Answer is actually wrong, calculation is wrong.here is the right solution.

Q: 5 – 2i 1+i If A = find A. 2 – i -2 – 5i ? ? A = А ? ?

A: We will find out the required value.

Q: If Im secmx dx, Then 17 118- 16 16=.. Answer:

A: Let us consider, In=∫secnxdx. It can be written as, In=∫secxn-2.secx2dx    ....1 [ Integration by…

Q: 1 4 1-sinx Select one: а. b. c. 2 d. 3

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Q: /2 c) Evaluate [(5cos? u +5sin 2u)du

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Q: Find u s x (xi-p)? (xi -A). -2) Xi Xi

A: To find mu^, we've to expand the given equation and solve it.  As we know, {Summation (I=> 1 to…

Q: coto cose sece Practice : Prove coce-I Sin e tan e

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Q: = coszo +isin 20 1-itano

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Q: lel A= 3i-) B=2itガ-3と Find Vedor C ctA

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Q: Q28- The value of e-(In+1 )n is a) (-1)" e--1 b) (-1)"e" c) (-1)" e-+1 d) (-1)" e-"

A: We have to find value of  e-(in+1)π

Q: 4.) tan(-)

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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: Solve for x x2 -3x-10 x-4 6x x-1 6x 6.

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Q: 1) one acre 5840 How many yards,expressed Ph SchentREPC notaon ore there n 550?

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Q: (e) VA: VB: (C: (AUC = BUC) ^ (ANC=BNC)) → (A = B)

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Q: Secoslsin-ta)av

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Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

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Q: dy for the following implicit function at p(1,1) Find dx Vxy +1 = y is O 1 O 1/2 O -1/2

A: A detailed solution is given below.

Q: Find: L [sin 2 5t ]. 0-co 5 Cos 10t) s² + 25 O A.) B.) 1 5 s² +25 2s 2(s +100) C.) D.)

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Q: DFind a 4-3,5,-7,1,-11,13 Formula an for the fralbwng sequence

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Q: SUIOב What is the value of k so that dx eklkx-1)=4ek*x-k, %3D

A: Topic - derivatives

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

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Q: 6. B;? Let B; = [i – 1, 2i + 1]. What is U i=1

A: We will just use the definition of closed intervals of the real number line and the definition of…

Q: B/ Find the value of 18 194i 1. + 13 13 O 1 02 (11+5i) (8-6i) (3-21) (1-21) 2. 13 18 134i 1193

A: This question is based on rationalization of complex number.

Q: 16. a) AB Let A = [1 2 3] -1 5 3] and B 01 1 2 -25 0. Find 0 b) A+B

A: A=[1−230−15],B=[01−1120−250]

Q: Evaluate fx²e-ªdx A) xe¯x − x² + С xe-* C B) x²e-x + 2xe¯ª +2e¯ª +C C) −x²e¯¤ — 2xe¯¤ − 2e¯ª + C D)…

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Q: a) 2 sin n² √n

A: Let the given sequence is denoted by (an)

Q: 1 arctan 1 + arctan 3 - 4 ||

A: Formula used:

Q: 7 Jlgull sin(2) = e-e- 2i eiz-e-iz 2 et +e-iz 2i e -e-i: 2i

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Q: xInsinx?dx То evaluate using Gen. Power Formula, we let u =Insinx2 tanx2 A) True B) False

A: We put u=Insinx2 and differentiate both sides with respect to x and solve it. Follow 2nd step.