1. CS Three complex numbers are related as follows: MG=3+14 CM=5-12 Evaluated with CamScanner (a) CMG (b) C, M, and G CG=3+j6 (c) CMG

Q: (b) Show that i10 is real, even though i or 10i is not.

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Q: (a) 2122 + 22Z3 + 2321 (b) (c) Re(z) +Im(2?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Let zand w be complex numbers with the following properties. |z| = 7, |w|= 3, Arg(z) = − and Arg(w)…

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Q: 3. Evaluate the following complex number a. (30460° +20<-20°) b. 302-30° +(4-j3)(3+j4)(4-j5)* C.…

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Q: 4. Find: (2+3i) 1-C 1 ti -i

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Q: of the complex number: (27V3 27 3

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Q: 1. Plot the following numbers in the complex plane. Give the numerical value of the real part x, the…

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Q: Express the following complex numbers in the form re : i. 3 + Ti ii. 25 - 1/Tti iii. (i+ 1)T

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

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

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Q: Find the modulus and argument of the following complex number. z= (3+2j) (- 1+2j), giving the…

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Q: 6. Find the following complex numbers in the form r+ iy, whe and y are real. (i) (3+7i) + (6 – 10i)…

A: we have to find complex numbers in the form of x + i y  Adding real part with real part and…

Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.

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Q: 2n and arg (z – 1) = 3 Find the complex number z if arg (z + 1) = -

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Q: 2+J3 7-18 a) + 1-16 -5+/11 b) (5210°) (102-40°) (42-80°) (-6250°)

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Q: Evaluate (3 – 4i)'

A: To evaluate the below complex number. 3−4ii

Q: Perform the following operations on the complex numbers. a) (4– 6i) – (-8 - 9i) b) (4 – 6i)(-8 – 9i)…

A: (a) Perform the subtraction operation for the given complex numbers.…

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?;…

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Q: Find a complex number for which Arg(z bar) does not equal -Arg(z).

A: For all non zero complex number we have Arg(z bar) = - Arg (z)  as if z = x+iy  which imples z¯ = x…

Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: Can you write the product as a sum or difference of 8sin(33b)cos(24b) ?

A: Recalling the formula for product of sines and…

Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized

Q: principal values

A: We will use the definition of cos hyperbolic function of complex numbers to find the result. cosh…

Q: Evaluate the following complex numbers (Rectangular Form): 1. (2+i) (20<40°) 1+i

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the imaginary component if the complex number a + bi is raised to m if a = 4, b = 3, and m =…

A: a = 4, b = 3 =&gt; a + bi = 4 + 3i m = 9 =&gt; (a + bi)m = (4 + 3i)9                            = (4…

Q: Complex Numbers Evaluate the following: a. √(-2)(-18) b. 3(cos 120°+jsin120°) x 5(cos45°+jsin45°)…

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