1- Find the and argumint g fallowing modulus the Complea numbers 2+i 2+ i 3-i 4i + (Hi)?

Q: Which numbers satisfy lal = a? Which satisfy lal = -a? What about I-al= a?

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Q: 5.18 SHOW that AUB = (A |B)UB 5.17 If AUB =U. Show that %3D

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

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

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Q: 10 2. Use De Moivre's theorem to determine 1 in the form a + ib. 2

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Q: Proof of CRT ( for two moduli) We must proue that f: Zm,m Zmx Zm given by m,) is a bijecdion.

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Q: 2.6. In the text, the modulus is defined in terms of the inner product. Prove at this can be turned…

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Q: (a)Show that,if x is small enough for its cube and higher powers to be neglected, = 1 – x +. by…

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Q: 4. (a) Use Gauss's lemma to evaluate (), showing all working.

A: The given term is, 1119

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: 1. Let, a1 = 7 and for n 2, an An-1 express an in terms ofn. %3D ". **

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Q: 6. The first four central moments are 0.4, 8 and 144. Find 'B' and 'y' coefficients?

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Q: Find the modulus. a. z = 3 – 4i b. z = -8 + 2i

A: A complex number is a number of the form a+bi. Here a is called its real part and b is called its…

Q: If z = cosθ + isinθ,  where -π < θ <= π.  Find the modulus and argument of: (a) z2  (b) 1+ z2 ,…

A: Please rate and feel free to ask any query about any part of the question.  Thanks

Q: 3 a A- E Prove ZBED = ZABC + ZCDE. %3D

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Q: The th roots ofz=a+ bi whenk=0, 1, ..., n-1. take the form: 0+2n COS 0+2n +i sin O [cos(0+ 2kx) +i…

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Q: 15. Let z = 2cos0 + i(1 – 2sin0) where -n < 0 < n Show that Iz – il = 2

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Q: [1E q14] Question is attached, Thanks ?

A: From the given information it is needed to prove that:

Q: Find the modulus of z=

A: Modulus of complex number

Q: Let z be a complex number and f(z) = 2sin(3z) + cos(iz), g(z) = Ln(1+37), h(z) = coth(5z). Which…

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Q: Find gcd(2,3+5i) in Z[i]

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Q: H has been conicctured that there are indefinitely many primes of the form na 2. Ex hibit five sUch…

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Q: Let 3 2 1. Verify that I4 = A. Show all of your work. 2. Verify that Alz = A. Show all of your work.

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Q: 1. Find a formula for A" using the diagonalization process (A" = PD' p'). Show all the work.

A: We need to diagonalize the matrix.

Q: 34. Prove parts (a) and (c) of Theorem 3.2.3.

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Q: 2) Let A = 3 Find the valuebs of k such tht A is noniugulo Al erists. (a) Column Compute the first

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Q: 9. Which congruence postulate or theorem must you use before proving ZA 2 ZC? A B HL theorem ssS…

A: HL theorem.   Both triangles are right angle triangles and hypotenuse is same and one leg is common.…

Q: two positive iontages and bare by 2, them prove that. (2° +1) is most divisible by (2²-1) let a with

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Q: rk HIJK is a ki

A: It is given that ,  Quadrilateral HIJK is a Kite ,

Q: Factor 19 into irreducible elements in the Gaussian integers, Z[i].

A: We have to factor 19 into irreducible elements in the Gaussian integers, ℤ[i]. Irreducible element :…

Q: 27. Consider z, and z2 given in 26 above, determine the Euler form of z, and z.₂. Attach File Browse…

A: From 26,z1=5-53i and z2=-33+3i

Q: 2. Prove 1+5+9+13+ .…+ (4n – 3) = n(2n – 1) using PMI. ... %3D

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Q: 5) Find oll volues of + that moke A invertible A= 211 31t

A: The detailed solution is as follows below:

Q: Suppose that {A;};eI and {B;};ej are families of nonempty dasses with the same index dass I. Prove…

A: Given that Aii∈I and Bjj∈J are families of non empty classes with the same index class I.

Q: 8. Let B = and A = Verify that AB, the pseudoinverse of AB, is not equal to BA. Thus the formula…

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Q: Find the value OF the Modulus oF Z in z=(2-1)(5+j12) 3.

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Q: Exercise 15.3.6. Fill in the blanks to complete the proof of Proposi- tion 15.3.4

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Q: 3=the demmand fumetion forx umits of on item is givem by the functio P= 70-0.07x. what is the…

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Q: The modulus of 5 + 4i is * O-41 O-√41 O√41 041 The conjugate of (i-i²)³ is O-2-21 2+2i -2+2i Oi-1

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Q: Find all possible laupent Sepies expansion5 Of about the (z+1)(2) (Z-2) point zo =-1. %3D

A: Given: F(z)=7z-2z+1zz-2 By partial fraction, =1z-3z+1+2z-2 Put U=z+1z=U-1…

Q: 2.2.6. In the text, the modulus is defined in terms of the inner product. Prove that this can be…

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Q: Find all the joint moments m,1, n and k= 0, 1. . .

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Q: Calculate and for the n = 2 state of a particle in a one-dimensional box of length a. Show that:…

A: As per the question we have to find the expected value of the position &lt;x&gt; and the expected…

Q: 5. Using only the basis E prove that two right triangles are congruent if the hypotenuse and an arm…

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Q: Factor 11 + 3i in Z[i] into indecomposable Gaussian integers. Hint: use the norm to guess factors.

A: Using the norm to guess the factors.

Q: alue of the funo 3) in the i

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Q: a lal a. 01 : R³ → → M22(R) given by 0 where |2| is the modulus of x.

A: I am providing the solution of part(a) only and the detailed solution is as follows below:

Q: 1. Find the first-order derives:

A: Given,      4x2+715x4+534x3-37x6+15x-30

Q: -- a) such that ab =1. Let p>1 be a prime number. Show that for each a + 0 in Zn there is b in Zp…

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Q: Let (an)1 be a sequence of positive real numbers: a, > 0. Suppose that Sn = > a; diverges. i=1 ai tn…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.