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

Q: Find all complex numbers z satisfying 4 = -81

A: Find all the complex numbers z satisfying z4= -81

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

A:

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 the solution(s) of sinhzicoshz31/e is (are) None of these. does not…

A:

Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…

A: To find out all the complex numbers for the given condition.

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…

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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: If z,,z, are two complex numbers then: ||z.|-|z2||>|z,-z z. +z_ s z +z]. z +z_ = z +/z

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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. Then the solution(s) of sinhz+coshz=1/e is (are) O z=2nti-1 where n is an…

A:

Q: The set of all complex numbers is denoted by C={x+iy:x,y ER} 0 صواب İhi O السؤال 2 lim does not…

A: Complex numbers: A complex number is represented in the form a+ιb, where a and b are real numbers,…

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) * O None of these O does…

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

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

A:

Q: 2. Find the general value of z in the complex number : - jl O A. J[(2/3)nk+ Tt/6] O B. J[(2/3)nk -…

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 set of all complex numbers is denoted by C={x+iy:x,yER} ylgn O ihi O السؤال 2 lim does not exist…

A: Every complex number is x + y i , where x and y are real number So statement is True.

Q: Let a and z be complex numbers with |a| # 1 and |2| = 1. %3D z - a āz – 1 Show that w= satisfies |w|…

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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 complex number. Then the solution(s) of sinhz+coshz=1/e is (are) z=2nti-1 where n is an…

A:

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

A: This is a problem of complex analysis.

Q: bers are conjugate. If z, and z2 are two non-zero complex numbers st jal arg (2) ) - arg (z2 ).

A: Since we know that, | Z1 + Z2 | = |Z1| + |Z2| only when the the point Z1 , Z2 and origin are…

Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these tanhz -tanhz oothz

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

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Q: Let z be a complex number. Then coth(2+ Ti) is equal to O None of these O -cothz O cothz O tanhz O…

A:

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: 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-e is (are)* None of these z=nti+1…

A: See solution below

Q: Let z be a complex number. Then coth(2+ Ti) is equal to -cothz tanhz O -tanhz O None of these

A: I have solved bothe examples for first question first option is correct And for second question last…

Q: Let z and w be complex numbers such that |z|= 1 and |w| # 1. Prove that = 1. - zw

A:

Q: Let z be a complex number. Then the solution(s) of sinhz2+coshz=1/e is (are) * O z=2nni-1 where n is…

A: Solution:

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 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 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: Let z be a complex number. Then the solution(s) of sinhz+coshz=e is (are) * does not exist z=nti+1…

A: Given that z is a complex number. we have to find such z so that                              sinh…

Q: Find a complex number z=a+bi such that z*z_1=1. Also, convert z into its three (3) other forms.…

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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: Let z be a complex number. Then the solution(s) of sinhz+coshz=e is (are) * O z=1 None of these does…

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Q: Let z be a non-zero complex number. Then Log(z²) = 2Logz O if OsArg(z)sn O if -T/2<Arg(z)s0 for all…

A:

Q: Let z be a complex number such that Iz| = 4 and arg(z) = 5Tt/6, %3D * = then z

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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)