Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) * O None of these O does not exist O z=nni-1 where n is an integer. O z=2nnti-1 where n is an integer. O z=-1

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

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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: 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: Show that there exists a complex number z such that z" +cos(| z |):(1+31z*)=0

A: The complete solutions are given below

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…

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Q: 1-181 Q2- The complex number z satisfies the equation 4Z - 32 %3D 2-1 Then Z =…

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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: 1. Consider the nonzero complex numbers z1 = 3i, z2 = 6i and z3 = 4i. (a) Evaluate (z,z,z3) (1 + z2…

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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…

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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: Given that the complex numbers zı and z2 are such that z, = cos 10° + i sin 10° and z2 cos 15° + i…

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

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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…

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

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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 -…

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Q: Let z be a complex number with |z|=17 and let z0=17−11i . What is |z−z0|^2+|z+z0|^2 ?

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

A:

Q: Write the complex number z = 18 + 18j in trigonometric form O 19.7(cos23.96°+ j sin 23.96°) O…

A:

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: Let A be a fixed constant positive number and f be an entire function with the property that |f (z)|…

A: We can come out with an answer by Liouville's Theorem, It states that a bounded holomorphic function…

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: 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: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2), j 2- j3 1 +…

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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: 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: The standard  from of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

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: 1. Consider the complex number z = -2(1 + i). (a) Compute z' by multiplying z by itself three times.…

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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: 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: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1- j2) j 2-j3 1+ j2…

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

A: Use formula of hyperbolic function.

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

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

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 e^(3z+i) is bounded over the set of complex numbers?

A: Let z is a complex number. Let f(z) = e(3z+i)  Let us assume that f(z) is bounded. Hence f(z) is an…

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

A: Assume sin3z is bounded. We know that sin3z is analytic on C, that is sin3z is an entire function.…

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

A: Given, z be a complex number. we need to find the solution of sinhz+coshz=1e

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 -TSArg(z)<0 O None of these O for all…

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)