A https://docs.google.com/forms/d/e/1FAlpQLSeUGYc-JH5nqoxlHtmLUWA46Q 150% Search Let a E R which expressions are correct? and give the justification why they are part of the Borel o-algebra, B(R) U(-) {a} {a} nEN nEN Q = U {a;}, a; is rational U {a;}, a, is irrational iEN iEN search

Q: Show find that 7x-2y is harmonic harmonic conjugate its and

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Q: 1. Prove that multiplication of complex numbers is associative.

A: We know that a complex number in the form of a+ib  i.e. z= x+iy =(x,y) where x and y are real…

Q: Show that MnXn and Rn^2 are isomorphic.

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Q: Define the Consequence for Root Finding?

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Q: If z1 and z2 are complex numbers such that |21| = |2|, prove that arg(2122) = arg ((21 + z2)²) .

A: This  problem is related with complex analysis. Given that z1 and z2 are two complex numbers such…

Q: Find the coefficient of z in -5 "Co-"C +"C2 +(-1)" 27

A: Consider the given binomial expansion: C0n-C1n2x-1x+C2n2x-1x2-.......+-1n2x-1xn Here, the objective…

Q: d) Prove (AV (Vx) BC = (Vx)B(AV C), as long as x not free in A. (Hint: Translate first to Standard…

A: Given,  Prove (AV (Vx)BC = (Vx)b(A V C), as long as x not free in A. (Hint: Translate first…

Q: • Show that for any two real numbers x, y, we have xy x² + y² 2

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Q: Explain the mathematical justifications for bisection method.

A: The equation in the form f(x)=0 is called a transcendental equation. The value of x which satisfies…

Q: is o(x). Hint: Use ling divisim

A: Let consider  fx=x4+x2+1x3+1 To show that f(x) is O(x).

Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: Evaluate sin²(7#6 + 2e'®) de. 2n Jo

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Q: -1 Find the minors and cofactor of A given by 2 -1 1

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Q: find of mataices 'inverse 6

A: First of all, consider the formula to calculate the value of inverse for 2 × 2 matrix.Then, put the…

Q: 22) -2 +4i -10-6i

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Q: fスノ= 4ーズ, 〇Find!- U show thet f has Domoin f ? on inverse funyo -1 f ca) ?

A: The given function is  f(x) = 4 - x2 And x>=0

Q: (1+i)^9 a+bi form

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Q: Show that Z₁ Z18. From an abstract algebra, senior level university math course

A: Introduction: The group comprises relatively prime positive integers up to 14 in the range.…

Q: Prove that diyrwl

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Q: Since P+ Q, it follows that [(a1 + a3 + a5) – (a2 + a4)] [(B1 + B3 + B5) + A (82 + B4)]' | P+Q =…

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Q: *ー+ 2x2 Suajefeddo,' メ+3x4 12

A: Solved using graphical method

Q: If Z=1/√2+i/√2 then the value of conjugate of Z^5= ؟

A: We have z=12+i2 Now, a complex number z=a+ib can be written in polar form as: z=a+ib=rcosθ+i sinθ…

Q: Please help quick thanks

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Q: Write cos(2a) polynomial expression of cos(a). as a (a) -1+2 cos (a) (b)1+2cos²(@) (c)1-cos²(a) (d)…

A: Given cos(2α),

Q: 1. Hewrite fis) h that the mate a iend 43/6-3) 2 le your awer from part tical tes for fia) A-3 ) -3

A: Solution is given below:

Q: Find the inverse funclion of 5/2 FO)=(2x2 on the doman X20

A: Given function is f(x)=2x52  domain x≥0 find inverse of f(x)

Q: The conjugate of (a-b) is (a+b) given that a² - b² = (a-b)(a+b) a. True  b. False

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Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: rewrite the following complex numbers in z = x+ jy format

A: Since you have posted multipart question and we can answer three subparts. So, answered first three…

Q: Find the imaginary part of 23t where z = x+ iy (the denominator is the conjugate

A: The conjugate of z will be x-iy

Q: V9x2+4 dx V9x2+4 +c V9x2+4 +c 3

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Q: 3. npor Find the dot product

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Q: 9) 2xy2 - (2xy)2 h) b?(b³)² +3b*(b²)2 – (b² - 2b)²b² (4x³y²z}* i)

A: We have to simplify the given expressions.