17. The argument of the complex number z. where com CO is 1- i 13

Q: Find the square roots of the complex number 4л 4л z = 81 (cos() + i sin()). Select all correct 9…

A: Proceed as shown

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

A:

Q: Let z be a complex number Then the solution(s) of sinhzicoshz31/e is (are) None of these. does not…

A:

Q: be a let z:x+iy dos(3#0 Then Re (ten(37))is eq a Complex number suc

A: We have to find the real part of tan (3z).

Q: 8. Consider the complex number z = 5+8i and w = 3– 3i. Write down the real and imaginary parts of…

A: Proceed as shown

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=D1/e is (are) * O z=2nni-1 where n is…

A:

Q: 10. Derive the formula for the cos(z), where z is a complex number.

A:

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: 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, 12z2=2z+22+z2+12+31 Now solving the given equation as,…

Q: 5- Which of the following is equivalent to the complex number show below? 1+i 1+ i

A:

Q: In polar form the complex number z = 3/2 + 3v2i can be expressed as (cos 45 +i sin 45 ). Let w = z3…

A: The given complex number,   z=32+32 i

Q: In this question we use the complex numbers x = 1 + 2i, y = 3-i, 3π 3π √2(cos ³4+ isin ³7). Complete…

A:

Q: 3. Convert the Complex number 10V3- 10i to trigonometric form: r(cos(0) + i sin(0)). 4. Let z =…

A: I have Provided this answer in step-2.

Q: ii) How would you describe geometrically the relationship between a nonzero complex number z = a +…

A: Given: Describe geometrically the relationship between z=a+ib anda. −zb. z−1

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=e is (are) * O None of these O…

A:

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 square roots of the complex number z = 36 (cos() + i sin()). Select all correct answers.…

A: Given,  The complex number  z = 36cos7π9+isin7π9 We have to find the square root of  z

Q: if (1+i)(x+iy) = 2+4i then 5x is : * O 15 O 10 O 5 O 3 Let z be a complex number such that |z| = 4…

A: To find the value of 5x:

Q: 1. If z = 1+ iy is a complex number. Find the principal argument and exponential form of z =

A: Given that z=x+iy is a complex number. where, Real Part = x and Imaginary Part= y Now,  z=i1+i…

Q: Let z be a complex number. Then cos(32)-i is unbounded in C. * False True

A: use:- cos(x+iy)=cosxcoshy−isinxsinhy

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

A: From Liovilles thm we can say Every non constant entire function is unbounded.

Q: Q1/ Answer two only from the following: 1. Find the Multiplication Product of: -3m (Z, = 1+ v3 i) By…

A:

Q: 33. The argument of the complex number z = 1+ e20 is B 2 D 20

A: We find argument of given complex number

Q: Fill in each blank so that the resulting statement is true.

A: Given:∑(5i+3)i=117 To find: The first three terms of∑(5i+3)i=117 and their common difference.

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

A:

Q: 2. Evaluate the following expression (exact solution): 2sin(-)cos(-)

A: This is the application of multiple angle.

Q: nd a, b e R such that 4 5 a + bi 1- 2i i - 2 i- 2

A:

Q: 15. Σ sin?k k3 k=1

A:

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

A: Topic : complex number

Q: Which of the following expresses the complex number z = 2Z in rec O z= 2+ 2j O z = V2(1 + j) O z=…

A: We have to find

Q: 1+ 2i = a + bi , then z = 3- 4i 2 34. If z- 1 z ==+= B 2 Z=- 5 D -152I52N In N

A:

Q: 1+i Q.7 The argument of the complex number 1-i where i = -1, is

A:

Q: B 12 20 und cos(B)

A:

Q: If u and vare complex numbers such that u = 3 – 5i and v= -6 + i, which of the following is…

A: Given u = 3 - 5i   and   v = -6 + i

Q: 1. The imaginary number i is defined so that i = V-1 and i?

A: Given that  i=-1therefore i2=-1

Q: 18. Let z be a complex number satisfying 12|:|* = 2|z + 2|² + |z² + 1]² + 31. What is the value of z…

A:

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: Show that 1 (a + b)(1+ i) (a – bi) (a + bi) a² + b² where a, b are reals. Hence, 2UTM 61 |5 – 5i| 1…

A:

Q: Let z=x+iy be a complex number such that coshz+0. Then Re(tanhz) is equal to " sinhxcoshx…

A:

Q: 33. The argument of the complex number z = 1+e20 is A B в D 20

A:

Q: The complex number 2+" (2+1)* can be'expressed as (1-12) a) 33.8(cos 2.825 + isin 2.825) b)…

A: To find the correct answer

Q: 15. Match each expression on the left to its complex form a + bi on the right. 1. -V-64+8 а. —3 + 3і…

A: We have to match expressions to their complex form.

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

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

Q: Fihd the cube roots of the complex ber z = 125 (cos(210°) + i sin(210°)). Select all correct…

A:

Q: Show that w = 2(cos 15° + i sin 15°) is a fourth root of z = 8 + 8iy3 by raising w to the fourth…

A:

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

A:

Q: 2) Find the modulus r 12| and the principal argument 0 = Arg(2) of each given complex number z and…

A:

Q: 1. Find modZ and argZ for the complex numbers given below. 1+1/2 Z = 1-V7

A:

Q: Which of the following is equal to the complex number z = O v5(1+ j) O -5 O 5j O none of the above

A: Here we solve the problem by using the absolute value and angle form of the complex numbers as :

Q: 2(2) A complex number z = v2(cos+i sin ), find In ( Z.Z' )

A: z = √2(cosπ/4 + i sinπ/4)  z = √2(1/√2 +i/√2 )  z = (1+i)  z* = 1-i

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.