n Compute (2i? – 7i) = i=1

Q: z = 24245°, zą = 52e2i, z3 = 10 – 11.5i %3D %3D 6. Z1 – 22 – Z3

A: Given: z1=24∠45°, z2=52e2i, z3=10-11.5i Convert z1 and  z2 into rectangular form as follows.…

Q: 1. Perform the indicated operation: v-9 x v-343. A. 21 В. 21i С. -21i D. -21

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Q: Solve the following using Cramer's rule: (Show your solution) 3y (a) 4x + 4y |||| 12

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Q: Find the g.c.d. in Z [i] of 2 and 3+ 5i.

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Q: Find v. v= - 12i + 5j M =] (Type (Туре an exact answer, using

A: The vector is given by v = -12i+5j To evaluate : The value of the magnitude v of the vector v

Q: 3+4i Given that =5 find

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Q: 2: Given z1 = 2 + i and z2 3-4i , find Z1 in the form of a + ib. Z2

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Q: [-2 + j3 -1/3 6235°. -j d) D =

A: Given -2+3j-1/3-j6∠35First we will convert 6∠35 to rectangular formWe know that x=acosθ and y=asinθ

Q: Find the following in the form of x + iy 12 1. (1 + i)¹²

A: We have given that, 1 + i12 We need to convert it into in the form x + iy. Here , z = 1 + i in first…

Q: Еxample: if A = 2i + j+ 4k and B = 3i – j+ 5k find АхВ аnd B Х А:

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Q: Solve the formula for the specified variable. c= uh for u

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Q: Find the g.c.d. in Z [i] of 2 and 3 + 5i.

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Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

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Q: I. Evaluate 4xydA D

A: In this question we convert the integral into polar form by using  x=rcos∅, y=rsin∅ dA=rdr.d∅

Q: 5. EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x. %3D O 2.9 5.8 OOO

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Q: Eii!): i(i!) = (n+1)! – 1, for every integer n > 1. i=1

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Q: 12 M.0 .cO 2 V2 .dO

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Q: Prove the result 1 =1 72

A: Let z1 = r1cosθ1+isin θ1 and z2 = r2cosθ2+isin θ2 now divide the complex numbers  z1z2 =…

Q: Solve the formula for u. b. U-V

A: The given formula is: j=qu-v To solve the formula for u.

Q: Transform the following sum by making the change of variable j =i-3. Here, n23 is an integer. 2 – 4i…

A: We use the given relationship between i and j to transform the given sum.

Q: Write a in the form a = a-T + an N at t-0 for R(t) = t²i+

A: Given Rt¯=t2i+t+13t2j+t−13t2k We have to write a in the form a=aTT+aNN Since, Rt¯=t2,t+13t2,t−13t2…

Q: SOLVE THE FOLLOWING EQUATION FOR Z SHOW ALL STEPS! (Hint: j4k = 1) 2jz3-j(4k+3)Z = 0

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Q: Find the g.c.d. in Z [i] of 2 and 3+5i.

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Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: Let z1 = 4 + 4i and z2 = 4 – 5i. Find (in the form x + iy): (5z1 + 4z2)? +i i i

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Q: %3D J. (1-3x)? e*dx3= 8 a O 13b O 19.cO 26 d O

A: Option b is correct. See the attachment

Q: ) Enter the value of n that makes the equation 46 . 4n = 411 true. %3D n =

A: The equation is given by 46·4n = 411 To evaluate : The value of n that makes the equation true.

Q: Let a - ci +j and b- 9i + 12j. Find c so that the a %3D Round your answers to four decimal places…

A: Use dot product

Q: Find a · b. a = 7i + j, b = i - 6j + k %3D

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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: 7. Solve g = ca , for a %3D

A: See the details solution in below

Q: Haw / Find dhe solution for the equaton

A: Find the solution

Q: II. Find the general solution: eV csc?tdr-r sintdt =0.

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Q5: Let A = 7i – 4j + 2k and B -3i + 6j – 2k. %3D %3D - Find A + B, |A – 2B|, A × B?

A: Given: A=7i-4j+2k  and B=-3i+6j-2k

Q: 3e2i® e2i® is equal to 3 None of these -3 -1 1 ООО О

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Q: I. Solve the following to Notation z = x + iy 1. In(-7) 2. z = i Z1 3. For Z, = 8+ 3i ; Z2 = 9 – 2i…

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Q: Solve the followings: 1- if zl=2+3i, z2=-1+i and 23=3-2i, give an expression for zlz2 + (23).

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Q: 4. Evaluate and leave your answer in exponential form r(2+ i)+ iy(2 - i)- = 3(1- 2i)1. Where r, y ER

A: Givenx2+i-1+iy2-i-1=3(1-2i)-1  where x,y∈ℝTo evaluate and leve answer in exponential…

Q: et a be a real number. Evaluate 3 (ax° + 1) dx 256a + 4 7 256a

A: Here we have to evaluate;  I=∫-22αx6+1dx

Q: Зп + 1 Sn %3D 4n - п

A: Sn=3n+14n-n.

Q: Solve for the 2i A = 2 1-1 a. A+B b. A-B following: 3-1 1 -8 0 2-31 2-31 41 (- [305 B=1 3 -9 1 4

A: As per the company policy I can answer 1st question only. For remaining questions please resubmit…

Q: Solve (O+4D)(D-20)Z= Cos (2x) %3D

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Q: Find the principle value of (2i)2+i : A)-0.6396- B) 2.5585 + 2.1252i C) -10.2341 8.5009i D) 40.9367…

A: Polar form of a complex number: Consider any complex number z=x+iy. Let (r,θ) denote the polar…

Q: 4i Q3) Simplify to the form (a + bi) : (1+21)2

A: 4i1+2i2=4i1+4i2+4i               =4i-3+4i×-3-4i-3-4i               =4i-3-4i-32-4i2…

Q: Σχ Ey Σχ Ey? Exy N 21 25 143 161 133 4 What is the correction coefficient (r)?

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Q: .neN' E (4i+1) = 2n² +3n+1 ||

A: We have to proof

Q: neN' Ë (2i –1) =n²

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Q: The solution of 3e3 = 9 is Select one: O a. 3 Ob.0 In(3) C. 13. O d.

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Q: How many distinct values can z = i^(3i) take on?

A: Given is a complex number  z=i3i. We need to find the other distinct values for z.