18 Given the complex number z = i, £$=:(2)" = A 1+i -i C -1 +i D -1

Q: Consider the complex number 2 + i. Working in exponential form, investigate the effect of…

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Q: The complex conjugate z is denoted as z̄. Solve for z in the equation:…

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Q: We have two complex numbers (C1 = 1+ j2) and (C2 = 4/-2.2°). Find %3D 1. Ст * С2 2. Ст — С2

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Q: z2 + (3 – 2i)z + (2 + i) = 0

A: Here, we need to solve the following complex number equation.                 z2+(3-2i)z+(2+i)=0 Let…

Q: (a) Use the formula zk = Vr(co e+ 27tk cos +i sin 0+277K to find the indicated roots of the complex…

A: Given Z=-322(-1+i) Zk=rncosθ+2πkn+sinθ+2πkn, 0≤θ<2π The trigonometric form of the complex number…

Q: 3.) 21 + Zz - 2з

A: Please find attachment for the details solution

Q: Find the roots of complex numbers √√64 e¹.4i

A: We have to find the roots of the given complex number

Q: Find the roots of complex numbers √√64 e¹.4i if n=4, k= 0,1,2,3 k=0, z1= k=1,z2= k=2, z3= k=3, z4=

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Q: 1. Find the following products of complex numbers a. (2 + 3i)(4 – 2i) c. (-1 – 2i)(2 + i) b. (2 –…

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Q: 30. The complex number 1 + V3i can be expressed in exponential form as 2e A в 2e- is 2e- 2e D

A: In the given question we have to expressed the complex number z in the exponential form…

Q: Find in the form of red, the six complex numbers which satisfy the equation 2° +32+32( V3 )i = Hence…

A: Given:                       z6+32+323i=0 ....... (*) To find: Solution of (*) of the form reiα.…

Q: Determine the roots of the complex numbers discussed in class. 1. z3 = -2 2. z3 = -3

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Q: The remainder of this question concerns the complex numbers z1 = 2 + j4 and z2 = −3 + j4 (a)…

A: To find Z1+Z2

Q: Express the given complex number in exponential form into a + bi form. 157 2e 6 1 + i3 - \3 + i 1 -…

A: The given complex number is ;                                     z = 2e5πi6 We have to find this…

Q: Solve the following complex numbers: Z1 = 5+3i ; Z2 = 4+5i ; Z3 = 3-i %3D

A: Givenz1=5+3i ; z2=4+5i ; z3=3-i

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: Given the complex numbers z = 24( cos +i sin and w = 4( cos +i sin 3 3 find giving your answer in…

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Q: Express the given complex number in polar and rectangular forms. 10.0 e 1.20j

A: We have to write polar and rectangular form of given complex number:

Q: 1) If we have the following complex numbers: Z, =2+3i, Z, =3-2i %3D Z, (d) Find (a) Z, + Z2 (b) Z,…

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Q: 13. The complex number c + di is equal to (2 – 3i)². What is the value of c?

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Q: Given two complex numbers z 3-3j, and w =1+7j, %3D which of the following options equals ?

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Q: b) Express the complex number in polar form -4 + 4i

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Q: The roots of the complex number z = (2)¹/2 is Wo = √2 [cos+ i sin], w₁ = √2 [cos+ i sin true false

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Q: 4. What is the rectangular form of the complex number 7.2e(7a/13)i? c. 7.15 – 0.87i a. -0.87 + 7.15i…

A: Note: As per bartleby guidelines for more than one questions asked, only one question is to be…

Q: Find the modulus (r) for the given complex number z = -6.3 + 8.2i.

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Q: 3. Find the cube root of the given complex number: y= (4 – j3) i.e., find V(4 – j3)!. You may leave…

A: Given: z=4-3j To find: Cube root of a given complex number.

Q: If 'a'is a complex number such that z = 1. Find the value of a, so that the equation az? +z+1=0 has…

A: Explanation of the answer is as follows

Q: Express the complex number z = -6/3 – 6i in polar form r(cos 0+ i sin 0). Provide your answer below:…

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Q: Find the real and imaginary parts of the complex number.

A: Given complex number: i3

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: 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: The real part of the complex number z = (2+2i)² + e¹+2i is

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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: Find the complex number 1, where z, = 3-2.j, z, = 1+4j. Za

A: We need to find the Complex number z1/z2 where z1=3-2j and z2=1+4j.

Q: and of b is Writing the complex number z=2 e6 in the form a+ ib, the value of a is

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Q: .z³ = 8i

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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: (a) Express the complex number 2 + (2/3)i in the form r(cos 0 +i sin 0), -n < 0 <T. (b) Solve the…

A: Complex numbers are those numbers which is represented in the form of a + ib where is a real part…

Q: Express the following complex number in exponential form: (-1 – 5) 3.1 e2.5i 5.1 e4.5i -5.1 e4.5i…

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Q: Given the complex numbers z1 = 20 (cos(52°) + i sin(52°)) and z2 = 5 (cos(39°)+i sin(39°)), find the…

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Q: The reciprocal of a complex number x+jy is

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

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Q: (b) Calculate (i) z1 + Z2. (ii) z, Z2. (iii) z1/z2.

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Q: 2. What is the standard form of the complex number –13.5(cos() + i sin())?

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Q: It is given that W = 2+ 2i, z + 2i = iz + X, Imw = 8, where z and w are complex numbers, and is a…

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Q: How many complex numbers satisfies both equations, z – i| = 2 and |z – 4i| = 1?

A: We know that z=x+iy, then…

Q: If the complex number z and its conjugate z' satisfy zz' + 2(z - z') = 12 + 8i, then the values of z…

A: Explanation of the answer is as follows

Q: Determine the complex number z that solve the problem 1-18i 4z - 3z %3D 2-i

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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.