What is the modulus of: 1. (i + 1) (2 - i) 2. 4 + √5i 3. 2 - 3i

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

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Q: Find the quotient (1+i) 10 1+/3i A. 10(1+ 3i): B. 16+5i C. 8(/3+i)· D. 6(/3+2i)- E. -8(/3-i). Е.

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Q: Evaluate 3+√3 3 13 dx 10+ x² - 6x 3+√√3 13 dx S 10+ x² - 6x 3 (Simplify your answer. Type an exact…

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Q: 3. a) Express each of the following in terms of a power with a base of 2. 12 (√16)(√√32)³ b)

A: The given expression(a) (b)

Q: 3+4i Given that =5 find

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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: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: a.) (3 - 4i)(2 + 5i) 10/60 + 20/-45

A: Solution:

Q: Q4) Answer two only 5-3i, a) Evaluate i 2+4i b) solve the following to find c and d (3-2 i)(c+id) =…

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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: 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: The modulus of 5 + 4i is * -41 -√41 √41 41 The conjugate of (i-i² )³ is -2-2i O 2+2i -2+2i Oi-1

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Q: Find the following product and write the result in standard form, a + b i. (-9+4i)(6+ i)

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

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Q: H.W.: Evaluate du 1) 64u2 + 36

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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: Najabhai

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Q: Choose the right answer Given A =2x i- 42 j- 3xy k B = 2x i- 2zj (find A.B, AxB, div (A), div (B

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Q: Assume Z₁ = 2 - i and Z₂ = 1 + 3i. Find the product and quotient of z1 and 22. Z₁Z2 = Z1/Z2 =

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Q: 4 Get all the roots of 2(V3i – 1) |

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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: 2-x₂ B) AS²(2-1) √u du -1 1 3 -n cl /2-x dx= (2-u) √udu P

A: Given query is to find the integral after substitution.

Q: Find modulus and argument of: a. (5-7i)(8+5i) b.  (√3 +i)/(√3 -i)

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Q: Fibonacci Numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... Define the Fibonacci sequence {f}…

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Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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Q: ful nd ! CI+ 2i) (3 -4i) HiW

A: Given that: (1+2i)3(3-4i)7(5+4i)7

Q: (3) I= √(1-x²) ³² 203 x dx

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Q: For the given numbers: Z1 = 1 – 2i, Z2 = 3 – i, Z3 = 2 – i, find: (a) Z1 · Z2 + Z3 (b) (c) |Z|

A: For the given numbers:z1=1-2i   , z2=3-i  , z3=2-iFind:

Q: Starting with y= In(x3) 2 T 2,3. %3D

A: To find: The derivative of y=lnx2+32π. Given: The function is y=lnx2+32π. Concept used: Logarithmic…

Q: (1+i)1-i (1-i)1+i· Q5- Find the result of Hint: Take n = 0 (the number of revolutions).

A: A complex number raised to a power of another complex number is always a complex number, this is an…

Q: Q9, please show work and show work in simplest way possible. Thanks.

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Q: -1 - i 1. (1 – 3i) ÷ (1 + 2i) is equal to 2. (7 + 4i) ÷ (-3 – i) is equal to (-5 – i)/2

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Q: What is the complex expression of the square root of (15+j20)?

A: Explanation of the answer is as follows

Q: Write the standard form of the complex number 4(cos(4π÷3)+isin(4π÷3)    Find the product:…

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