. Ifa complex number z has modulus 2 and argument , then

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C. * False True

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Q: 4. Find the modulus, Iz], and argument, 0 , of the complex number. -1 + i

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Q: If a complex number z satisfies z = z-1, what can be said about the number? Are con Nay/ Say that…

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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 modulus and the principal value of the argument of the following powers of complex number:…

A: Explanation of the answer is as follows

Q: For any complex number Z, Je| 24if Re(Z) <00 |z| <10 Im(Z) 200 Re(Z) 2 20 Re(Z) <20

A: Let us take z = x + iy. We are given ez≥4. So,                    ex+iy≥4⇒exeiy≥4⇒exeiy≥4⇒ex≥4  as…

Q: express  in the form z = x +yi the complex number z whose modulus and argument are given.  |z| =…

A: z= x+iyz=12,    arg(2) =-π3modulus of z =z = x2+y2 =12⇒x2+y2 =12     -(i)

Q: Consider the following:  u,v ∈ C, we say that u is greater than v and write u > v are real and…

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Q: find the modulus r = |z| and the principal argument θ = Arg(z) of each given complex number z, and…

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Q: use the picture to find at least one complex number c such that z^7 + 3z^4 + c has exactly 3 zeroes…

A: consider the equation

Q: Let z1, z2 be two complex nu numbers. Prove that z, and z

A: Complex numbers: The sum of a real and an imaginary number is a complex number. A complex number is…

Q: 2) Suppose 1 and w are complex numbers, show that Aw =

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Q: In(2) The complex number e is equivalent to a) ji b) (1+j} c) 1+ j d) 1- j

A: According to the problem, we have

Q: Find the modulus of the given complex number. 7. 10 + 6i

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Q: The Complex number z is defined as 2- il1+i](1-2;) gven tnt (2-3i)+ p(z-3)=7FE where Paud 7 are real…

A: The complex number z is defined as z=i1+i1-2i2

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C.* True False

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Q: Find the modulus of the given complex number. 8. -2 - i

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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: Find the modulus of each of the complex numbers 5i, 7, and3 + 4i.

A: we have to find the modulus of each of the complex numbers: 5i, 7, 3+4i

Q: p and q are complex numbers such that pl = 7√3 and lp + ql = 12√2. - On what interval must q fall…

A: Use  Cauchy inequalities and solve the question.

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

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

Q: Given that Z1 and Z2 are complex numbers, show geometrically or otherwise that |Z1| - |Z2| is less…

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Q: 4. This question has two parts. a) Compute the value of eln 2020+3xi/4 b) Find all complex numbers z…

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Q: If z is a complex number that satisfies the condition: |z − 2 − 3i| = 2, then show that the…

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Q: Let z be a complex number. Then cot(5z – n) is equal to

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: For every real number a > 0, Find all complex numbers z, sati sfying the equati on z|-|+ a +i= 0.

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Q: Given that the complex number z is such that 22. Iz| = 4 and arg z = - then z =

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Q: Let z, and z, be the complex numbers given in the following argand diagram. Find the complex number…

A: First I am going to find the complex number by using the Euler's identity and then solve the problem…

Q: :If z is a complex number satisfying the equation (-1)" = =", where n e N. Show that the locus of z…

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Q: z = 1 + √3i

A: Z=1+3imodulus of z is z=12+32                         z=1+3                          r=z=2

Q: Let z be a complex number. Then Im(-iz+1)= * O =liz-1| None of these O 2liz-1| <liz-1|

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Q: Let z be a complex number satisfying 12|z|² = 2|z + 2|² + |z² + 1|² + 31. What is the value of z +-?…

A: Given that Let z be a complex number satisfying  12z2=2z+22+z2+12+31 To find the value of z+6z

Q: Let z be a complex number. Then cos(72)+3i is unbounded in C. False True

A: this is true , because

Q: If k and p are two complex numbers, then k + p = k/ë A O k+p= k +p B) © k +p = k * p O k +p = k – p…

A: (1) Let k=a1+b1i and p=a2+b2i, then…

Q: Let z be a non-zero complex number. D if OsArg(z)sTt/2 D for all complex numbers D if OsArg(z)sn…

A: we know that logzn≠nlogz for all complex numbers. Since ew=z and -π&lt;Imw≤π If w=logz, nw is a…

Q: Graph the complex number and find the modulus r

A:

Q: Suppose that the complex number z has modulus one, and that 0 < Arg z < . Prove that 2 Arg(z+1) :…

A: Given the complex number z has modulus one, and 0&lt; Arg z &lt; π/2. So, we may take complex number…

Q: [1E q22] Question is attached, Thanks ?

A: To prove the equality of the two angles , under the given conditions

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C. * True False

A:

Q: Let z be a complex number. Then cos(72)+3i is unbounded in C.

A: A complex no. in the form of a+ ib

Q: If Z is complex number e? = e*(cos y + isin y) True O False

A:

Q: The complex number modulus z = 12 - 5i is:

A: Given,         The complex number is z = 12 - 5i .

Q: p and q are complex numbers such that |a| = 4√5 and lp + ql = 9√/2. - On what interval must lp fall…

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Q: A number of the form iy is called pure imaginary ylgn O İhi O

A: given a complex number

Q: 3.5. If |2| = 1, then show that az + b 1 bz +a for all complex numbers a and b. ||

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Q: The division of a complex number z, by anon- zero complex number z, is defined as the multiplication…

A: Let, Z1= a1+ib1 and, Z2=a2+ib2

Q: Let z be a complex number. Then cos(tz)+3i is unbounded in C. * False True

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Q: 4 9) Use Euler's formula to compute (--i. Express as a 2 2 complex number of the form a + bi.

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Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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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.