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

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

A: See solution below

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: Let z be a non-zero complex number. Then Log(z²) = 2Logz O if -n/2<Arg(z)<0 O if -TSArg(z)<0 for all…

A: For Real number we have Log(x2)=2Log (x) but for complex number z the equality is not true . For…

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz O None of these O if OSArg(z)<T/2 O if…

A:

Q: The set of all complex numbers is denoted by C={x+iy:x,yER} ylgn O ihi O

A:

Q: Let z be a complex number. Then cos(5z)+i is bounded in C.* O False True

A:

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

A: Use z=x+iy, then show it is bounded.

Q: Let z be a complex number, and w be its additive inverse. Let c be another complex number. If |zc| =…

A: Given z be a complex number and let w be its additive inverse. ⇒z+w=0 and z=w, argz=argw+π Given…

Q: Let a, b, and c be any three nonzero complex numbers. If |z| = 1 and 'z' satisfies the equation az +…

A:

Q: (a) Illustrate in the complex plane those complex numbers z =1+ iy E C for which m (s + ) >. Im (z+

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A if z, and z, are complex numbers Z2 Show that ()= Z 22

A:

Q: Let z be a non-zero complex number. Then Log(z?)= 2Logz for all complex numbers O rosArg(z)st…

A:

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz ) None of these O if OSArg(z)ST/2 O if…

A:

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz %3D O if -nsArg(z)s0 O None of these O if…

A:

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: The ________ ________ of the complex number z = a + bi is z = r(cos θ + i sin θ), where r is…

A: z=a+ib be any complex number

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 Im(-iz+1)= * O =liz-1| O None of these Ozliz-1| Sliz-1|

A: The last option is correct.

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz O if -T/2<Arg(z)<0 O if OsArg(z)sTI None of…

A:

Q: If z=3-4i then express these following complex numbers in the form of a+ib: (a) (=+1)(=+i) 2z (b)

A: If z = a + ib and w = c + id then z+w = (a+ib) + (c+id)       = (a+c) + i(b+d)

Q: Let z be a complex number. Then cos(7z)+3i is unbounded in C. * True False

A: From the question image that you have uploaded, only 1 complete question is visible, which is the…

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz for all complex numbers O if OSArg(z)ST/2 O…

A: We know that  log(z1.z2) =logz1 +logz2 iff -pi&lt;arg(z1) +arg(z2) &lt;pi

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

A: Let z be complex number then

Q: The conjugate of complex number z satisfy: z+z=2Rez O Z-N=2ilmz O z+z=10

A:

Q: Let z be a non-zero complex number. Then Log(z²) 2Logz if -TsArg(z)<0 for all complex numbers if…

A: The general logarithms theorems hold for argument is within 1st and 2nd quadrant s

Q: Let z be a complex number. Then sinh(2z)-i is bounded in C.* False True

A: Given a statement

Q: If z1, Z2, Z3 are complex numbers such that |z| = |z2| = |Z3| = %3D 1 1 = 1, then |z, +z, + z,| iS

A: Introduction :

Q: Let z be a non-zero complex number. Then Log(z) = 2Logz %3! for all complex numbers if OsArg(z)sT/2…

A: By arguments written in step 2

Q: Let a be a complex number with 0 < |a| < 1. Then the set |z – al < |1 – āz| is: (a) a square with…

A:

Q: Let z be a non-zero complex number. Then Log(z?) = 2Logz O if -nSArg(z)s0 O None of these O if…

A: Explained below

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

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

Q: z=x+i y geometricaly ?

A: Given: a) z¯ b) -z c) 1z To find: The complex number obtained from geometrically.

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz O None of these O if -T/2<Arg(z)<0 for all…

A: z&gt;0 &amp; z^2&gt;0 are must to define the given logarithmic equation.

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

A:

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz O if OSArg(z)STM O if -nSArg(z)0 O None of…

A:

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

A:

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

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

A: this is true , because

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

A:

Q: A. Express the following complex numbers in standard form. 1. z = 0 + 2.1=-2+4 2

A: Introduction: There are many different representations of a complex number. But, the standard…

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz None of these if OSArg(z)sr/2 O if…

A:

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

A: Given problem is :

Q: Ifz is a complex number, then sin-z can be written as (A)-i In iz+ (1-z) (B)t In [iz + (1 -z)]…

A:

Q: Suppose a complex number z satisfies the equation (1+ 2z)³ = eiª (1 – 22)³, for some a E (T, 27).…

A: Given equation is 1+2z3=eiα1-2z3 where α∈π,2π

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

A:

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

A:

Q: Let z be a complex number. Then sinh(2z)-i is bounded in C. * False True

A:

Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz for all complex numbers None of these if…

A: Given log(z2)=2log(z)

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.